BIBLIOGRAPHY
Books
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(R.Z. Norman, D. Cartwright) Structural Models: An Introduction to
the Theory of Directed Graphs. Wiley, New
York (1965) 415 pp.
- Edited Book 1.
A Seminar on Graph Theory. Holt, Reinhart and Winston. New
York (1967)
- Edited Book 2.
Graph Theory and Theoretical Physics. Academic Press, London
(1967)
- Book 1F.
(R. Norman, D. Cartwright) Introduction a la Théorie des Graphes
Orientés: Modèles Structuraux (French translation by A. Gibert)
Dunod, Paris (1968).
- Book 2.
Graph Theory. Addison-Wesley, Reading (1969) 274 pp.
- Edited Book 3.
Proof Techniques in Graph Theory. Academic Press, New
York (1969)
- Book 2J.
Graph Theory. (Japanese translation by S. Ikeda) Kyoritsu, Tokyo
(1971)
- Edited Book 4.
(Edited with H.S. Wilf) Mathematical Aspects of Electrical Network
Analysis. SIAM-AMS Proceedings 3 (1971)
- Book 3.
(E.M. Palmer) Graphical Enumeration. Academic Press, New
York (1973) 271 pp.
- Book 2R.
Graph Theory. (Russian translation by V.P. Kozyrev) MIR, Moscow
(1973) 300 pp.
- Edited Book 5.
New Directions in the Theory of Graphs. Academic Press, New
York (1973)
- Book 2G.
Graphentheorie. (German translation by W. Mader) Oldenbourg, Munich
(1974)
- Edited Book 6.
(Edited with R. Bari) Graphs and Combinatorics. Lecture Notes
in Mathematics, Vol. 406, Springer, Berlin
(1974)
- Book 3R.
(E.M. Palmer) Graphical Enumeration. (Russian translation by G. P.
Gavrilov) MIR, Moscow (1977)
- Book 4.
(P. Hage) Structural Models in Anthropology. Cambridge
Univ. Press, Cambridge
(1983) 201 pp.
- Edited Book 7.
(Edited with J. Maybee) Graphs and Applications. Wiley, New
York (1985)
- Edited Book 8.
(Edited with K. Phillips) Graph Theoretic Models in Computer
Science I. Comput.
Math. Appl. 15 (1988)
- Book 5.
(F. Buckley) Distance in Graphs. Addison-Wesley, Reading
(1990)
- Book 6
(P. Hage) Exchange in Oceania
Clarendon Press, Oxford (1991)
- Edited Book 9.
(Z. Tuza) Graph Theoretic Models in Computer Science II. Math.
Comput. Modelling 17 (1993)
- Book 7
(P. Hage) Island Networks
Cambridge Univ. Press, Cambridge
(1996)
Chronological
List
1949
- On the algebraic structure
of knots. Amer. Math. Monthly 56 (1949) 466-468
1950
- Atomic boolean-like rings
with finite radical. Duke Math. J. 17 (1950) 273-276
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relation algebras. J. Symbolic Logic 15 (1950) 197-198
1952
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determination of redundancies in sociometric chains. Psychometrika
17 (1952) 195-208
1953
- On the notion of balance of a
signed graph. Michigan Math. J. 2 (1953) 143-146
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characterization of implicative boolean rings. Canad. J. Math.
5 (1953) 465-469
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of an arbitrary boolean algebra to an implicative boolean algebra. Proc.
Amer. Math. Soc. 4 (1953) 751-758
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of N-adic relations. Portugal. Math. 12 (1953) 143-152
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Theory as a Mathematical Model in Social Science. Institute for
Social Research, Ann Arbor (1953)
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dissimilarity characteristic of Husimi trees. Ann. of Math.
58 (1953) 134-141
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number of Husimi trees I. Proc. Nat. Acad. Sci. USA 39 (1953)
315-322
1954
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dissimilarity characteristic of linear graphs. Proc. Amer. Math.
Soc. 75 (1954) 131-135
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complete cycles in a communication network. J. Social Psychology
40 (1954) 329-332
1955
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N-balance in signed graphs. Michigan Math. J. 3 (1955) 37-41
- The number of linear,
directed, rooted, and connected graphs. Trans. Amer. Math. Soc.
78 (1955) 445-463
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of the liaison persons of an organization using the structure matrix. Management
Sci. 1 (1955) 251-258; 9 (1962) 157-161
1956
- Note on an enumeration
theorem of Davis and Slepian. Michigan Math. J. 3 (1956)
149-153
- Note on the Polya and Otter
formulas for enumerating trees. Michigan Math. J. 3 (1956)
109-112
- On the number of dissimilar
line-subgraphs of a given graph. Pacific J. Math. 6 (1956)
57-64
- (D. Cartwright) Structural
balance: A generalization of Heider's theory. Psychol. Review
63 (1956) 277-293
1957
- On arbitrarily traceable
graphs and directed graphs. Scripta Math. 23 (1957) 37-41
- The number of dissimilar
supergraphs of a linear graph. Pacific J. Math. 7 (1957)
903-911
- The number of oriented
graphs. Michigan Math. J. 4 (1957) 221-224
- Structural duality. Behavioral
Science 2 (1957) 255-265
- (H.H. Paper) Toward a
general calculus of phonemic distribution. Language 33 (1957)
143-169
- (I.C. Ross) A procedure for
clique detection using the group matrix. Sociometry 20 (1957)
205-215
1958
- On the group of a graph
with respect to a subgraph. J. London Math. Soc. 33 (1958)
457-461
- Note on Carnap's relational
asymptotic relative frequencies. J. Symbolic Logic 23 (1958)
- On the number of bicolored
graphs. Pacific J. Math. 8 (1958) 743-755
- On the number of dissimilar
graphs between a given graph-subgraph pair. Canad. J. Math.
10 (1958) 513-516
1959
- A criterion for unanimity
in French's theory of social power. Studies in Social Power.
(D. Cartwright, Ed.) Institute for Social Research, Ann Arbor (1959)
169-182
- An elementary theorem on
graphs. Amer. Math. Monthly 66 (1959) 405-407
- Exponentiation of permutation
groups. Amer. Math. Monthly 66 (1959) 572-575
- A graph theoretic methold
for the complete reduction of a matrix with a view toward finding its
eigenvalues. J. Math. Physics 38 (1959) 104-111
- Graph theoretic methods in
the management sciences. Management Sci. 5 (1959) 387-403
- Graph theory and electric
networks. Institute of Radio Engineers, Transactions on Circuit
Theory CT-6 (1959) 95-109; Translations on Information Theory
IT-6 (1959) 95-109
- On the group of the
composition of two graphs. Duke Math. J. 26 (1959) 29-34
- On the line-group of
two-terminal series-parallel networks. J. Math. Physics 38
(1959) 112-118
- On the measurement of
structural balance. Behavioral Science 4 (1959) 316-323
- The number of functional
digraphs. Math. Ann. 138 (1959) 203-210
- Status and contrastatus. Sociometry
22 (1959) 23-43
- (D. Cartwright) A note on
Freud's "Instincts and their vicissitudes." International
Journal of Psychoanalysis 40 (1959) 287-290
- (G. Prins) The number of
homeomorphically irreducible trees, and other species. Acta Math.
101 (1959) 141-162
- (M. Richardson) A matrix
algorithm for solutions and r-bases of a finite irreflexive relation. Naval
Res. Logist. Quart. 6 (1959) 307-314
- (I.C. Ross) A description
of strengthening and weakening group members. Sociometry 22
(1959) 139-147
1960
- On the consistency of
precedence matrices. J. Assoc. Comput. Mach. 7 (1960) 255-259
- Graph theory. Encyclopedia
of Science and Technology McGraw-Hill, New York 6 (1960) 253-256
- A matrix criterion for
structural balance. Naval Res. Logist. Quart. 7 (1960)
195-199
- Some historical and
intuitive aspects of graph theory. SIAM Review 2 (1960)
123-131
- Unsolved problems in the
enumeration of graphs. Publ. Math. Inst. Hungar. Acad. Sci. 5
(1960) 63-95
- (R.Z. Norman) Dissimilarity
characteristic theorems for graphs. Proc. Amer. Math. Soc. 11
(1960) 332-334
- (R.Z. Norman) Some
properties of line digraphs. Rend. Circ. Mat. Palermo 9
(1960) 161-168
- (I.C. Ross) The square of a
tree. Bell System Technical J. 39 (1960) 641-647
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1961
- A parity relation
partitions its field distinctly. Amer. Math. Monthly 68
(1961) 215-217
- A structural analysis of
the situation in the Middle East in 1956. J. Conflict Resolution
5 (1961) 167-178
- A very independent axiom
system. Amer. Math. Monthly 68 (1961) 159-162
- Who eats whom? General
Systems 6 (1961) 41-44
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of lines in a digraph of each connectedness category. SIAM Review
3 (1961) 309-314
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of phonemic theory. Structure of Language and Its Mathematical
Aspects. Proc. Symp. Appl. Math., Amer. Math. Soc. 12 (1961)
139-165
1962
- A complementary problem on
nonplanar graphs. Math. Mag. 35 (1962) 301-303
- The determinant of the
adjacency matrix of a graph. SIAM Review 4 (1962) 202-210
- A graph theoretic approach
to matrix inversion by partitioning. Numer. Math. 4 (1962)
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- The maximum connectivity of
a graph. Proc. Nat. Acad. Sci. USA 48 (1962) 1142-1146
- Permutations with
restricted position. Math. of Computation 16 (1962) 222-226
- Remark on the preceding
note. Amer. Math. Monthly 69 (1962) 212-213
- (J. Battle, Y. Kodama)
Every planar graph with nine points has a nonplanar complement. Bull.
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J.W.T. Youngs) Additivity of the genus of a graph. Bull. Amer. Math.
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of brand loyalty: A markovian approach. Operations Research
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model for structural role theory, I. Human Relations 15
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1963
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block-graphs. Canad. Math. Bull. 6 (1963) 1-6
- `Cosi fan Tutte' - A
structural study. Psychological Reports 13 (1963) 466
- A measure of axiomatic
independence. Mind 72 (1963) 143-144
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the embedding of complete graphs in orientable surfaces. Mathematika
10 (1963) 79-83
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crossings in a complete graph. Proc. Edinburgh Math. Soc. 13
(1963) 333-338
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bicolourable graphs. Canad. J. Math. 15 (1963) 237-248
1964
- Combinatorial problems in
graphical enumeration. Applied Combinatorial Mathematics
(E.F. Beckenbach, Ed.) Wiley, New York (1964) 185-217
- A graph theoretic approach
to similarity relations. Psychometrika 29 (1964) 143-151
- Recent results in
topological graph theory. Acta Math. Acad. Sci. Hungar. 15
(1964) 405-412
- On the reconstruction of a
graph from a collection of subgraphs. Theory of Graphs and Its
Applications (M. Fielder, Ed.) Academic, New York (1964) 47-52
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thickness of the complete graph. Bull. Amer. Math. Soc. 70
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the thickness of the complete bipartite graph. Proc. Cambridge
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an n-connected graph. Fund. Math. 54 (1964) 7-13
- (O.A. Oeser) A mathematical
model for structural role theory, II. Human Relations 17
(1964) 3-17
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number of plane trees. Indag. Math. 26 (1964) 319-329
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plane trees with a given partition. Mathematika 11 (1964)
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1965
- Graph theory and group
structure. Readings in Mathematical Psychology. (R.C. Luce,
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- On minimally nonplanar
graphs. Ann. Univ. Sci. Budapest, Eotvos Sect. Math. 8 (1965)
13-15
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the n-cube. Canad. J. Math. 17 (1965) 494-496
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restrictions for various classes of directed graphs. J. London Math.
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involving the genus of a graph and its thicknesses. Proc. Glasgow
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8 (1965) 491-498
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of the complete graph. Canad. J. Math. 7 (1965) 850-859
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project development. Nature 206 (1965) 118
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eulerian and hamiltonian graphs and line-graphs. Canad. Math. Bull.
8 (1965) 701-709
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graphs rooted at an oriented line. ICC Bull. 4 (1965) 91-98
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Math. Bull. 8 (1965) 17-20, 373
- (R.Z. Norman, D. Cartwright)
Structural Models: An Introduction to the Theory of Directed Graphs.
Wiley, New York (1965) 415 pp.
1966
- Merton revisited: A new
classification for deviant behavior. American Sociological Review
31 (1966) 693-693
- Structural study of `A
Severed Head.' Psychological Reports 19 (1966) 473-474
- The theory of tournaments:
A miniature mathematical system. Colloq. Math. 15 (1966)
149-155
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matrices with equal determinant and permanent. Studia Sci. Math.
Hungar. 1 (1966) 179-183
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round-robin tournaments. Amer. Math. Monthly 73 (1966)
231-246
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structures: A description in terms of graph theory. Role Theory:
Concepts and Research (D. Biddle, E. Thomas, Eds.) Wiley, New York,
(1966) 92-102
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of locally restricted digraphs. Canad J. Math. 18 (1966)
853-860
- Enumeration of mixed graphs.
Proc. Amer. Math. Soc. 17 (1966) 682-687
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of self-converse digraphs. Mathematika 13 (1966) 151-157
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the small digraphs. J. Indian Statist Assoc. 4 (1966) 155-169
- (E.M. Palmer) On the number
of orientations of a given graph. Bull. Acad. Polon. Sci. Ser. Sci.
Math. Astronom. Phys. 14 (1966) 125-128
- (E.M. Palmer) The power
group enumeration theorem. J. Combin. Theory 1 (1966) 157-173
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reconstruction of a tree from its maximal subtrees. Canad. J. Math.
18 (1966) 803-810
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points of a graph. J. Math. Mech. 15 (1966) 623-630
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graph whose group is cyclic. Czech. Math. J. 16 (1966) 70-71;
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point-core of a graph. Math. Z. 94 (1966) 382-386
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block-cutpoint tree of a graph. Publ. Math Debrecen 13 (1966)
103-107
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of a given 1-choice structure. Psychometrika 31 (1966)
271-278
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of products of two directed graphs. SIAM J. Appl. Math. 14
(1966) 250-254
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of the group of a planar map. J. Combin. Theory 1 (1966)
394-395
1967
- Applications of Polya's
theorem to permutation groups. A Seminar on Graph Theory
Holt, Rinehart and Winston, New York (1967) 25-33
- Enumeration of graphs and
digraphs. A Seminar on Graph Theory Holt, Rinehart and
Winston, New York (1967) 34-41
- Graphical enumeration
problems. Graph Theory and Theoretical Physics (F. Harary,
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problems. (Russian Math. Surveys) Uspehi Mat. Nauk 24 (1967)
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18-20
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Winston, New York (1967) 1-12
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graphs IV: Dihedral groups and monocyclic aromatic compounds. Rev.
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connectivity function of a graph. Mathematika 14 (1967)
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Plummer) On the critical lines of a graph. Pacific J. Math.
22 (1967) 205-212
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permutation graphs. Ann. Inst. H. Poincare 3B (1967) 433-438
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the computer enumeration of fimite topologies. Comm. ACM
10 (1967) 295-298
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ladders. Canad. Math. Bull. 10 (1967) 493-496 .IP 15H. (R.K.
Guy) Mobius letrakrol. Mat. Lapok 18 (1967) 59-60 (in
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An interpolation theorem for graphical homomorphisms. Portugal.
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criterion for planarity of the square of a graph. J. Combin. Theory
2 (1967) 395-405
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of finite automata. Information and Control 10 (1967) 499-508
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The number of ways to label a structure. Psychometrika 32
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Which graphs have only self-converse orientations? Canad. Math.
Bull. 10 (1967) 425-429
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of a graph. Proc. London Math. Soc. 17 (1967) 305-314
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indecomposable graphs. Canad. J. Math. 19 (1967) 800-809
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1968
- The cell growth problem and
its attempted solutions. Beitrage zur Graphentheorie (H.
Sachs, Ed.) Teubner, Leipzig (1968) 49-60
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graphs V: Enumeration and proposed nomenclature of benzenoid
cata-condensed polycyclic aromatic compounds. Tetrahedron 24
(1968) 2505-2516
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colorings of signed graphs. Elem. Math. 23 (1968) 85-89
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with prescribed connectivities. Theory of Graphs. (P.Erdos
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1141-1145
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3 (1968) 263-270
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1969
- Determinants, permanents,
and bipartite graphs. Math. Mag. 42 (1969) 146-148
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(F. Harary, Ed.) Academic Press, New York (1969) 1-9
- The Greek alphabet of
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(W.T. Tutte, Ed.) Academic Press, New York (1969) 13-20
- On the intersection number
of a graph. Proof Techniques in Graph Theory (F. Harary, Ed.)
Academic Press, New York (1969) 109-110
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Robinson) Uniquely colorable graphs. J. Combin. Theory 6
(1969) 264-270; 9 (1970) 221
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Math. 28 (1969) 327-333
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Labeled trees with unlabeled end-points. J. Combin. Theory 6
(1969) 60-64
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of forests. Mat. Casopis Sloven. Akad. Vied. 19 (1969)
110-112
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versus graphs. Springer Lecture Notes Math. 110 (1969)
155-170
1970
- Covering and packing in
graphs I. Annals N.Y. Acad. Sci. 175 (1970) 198-205
- Enumeration under group
action: Unsolved problems in graphical enumeration IV. J. Combin.
Theory 8 (1970) 1-11; 9 (1970) 221
- Graph theory as a structural
model in the social sciences. Graph Theory and Its Applications.
(B. Harris, Ed.) Academic Press, New York
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- Problems involving graphical
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- Variations on a theorem by
Menger. SIAM Studies in Applied Mathematics 4 (1970) 112-121
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A. Hill, R. Westwick) Cubic identity graphs and planar graphs derived from
trees. J. Austral. Math. Soc. 11 (1970) 207-215
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Chemical graphs IX. Isotope-isomerism of multiply-labelled compounds. J.
Labelled Compounds 6 (1970) 211-223
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digraphs. Combinatorial Mathematics and Its Applications. (P.
Erd\*"os et al., Eds.) North-Holland, Amsterdam (1970) 135-198
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and indifference in generalizations of structural balance. Behavioral
Sci. 15 (1970) 497-513
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two graphs. Aequationes Math. 4 (1970) 322-325
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grafos. Scientia (Valparaiso) 36 (1970) 42-49 (in Spanish)
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achromatic number of a graph. J. Combin. Theory 8 (1970)
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13 (1970) 67-73
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matrix approach to nonstationary chains. Operations Research
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reconstruction conjecture for labeled graphs. Combinatorial
Structures and Their Applications. (R.K. Guy, Ed.) Gordon and
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1971
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1972
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