Combinatorial Mathematics: Proceedings of the International Conference on Combinatorial Theory, Canberra, August 16 - 27, 1977 (Lecture Notes in Mathematics)

Edited By D.a. Holton And Jennifer Seberry. Conference Held August 16-27, 1977. Includes Bibliographical References. Reflections on the legitimate deck problem....Pages 1-12 Some extremal problems on families of graphs and related problems....Pages 13-21 Integral properties of combinatorial matrices....Pages 22-33 A class of three-designs....Pages 34-46 Isomorphic factorisations III: Complete multipartite graphs....Pages 47-54 Biplanes and semi-biplanes....Pages 55-58 Near-self-complementary designs and a method of mixed sums....Pages 59-67 Recent progress and unsolved problems in dominance theory....Pages 68-78 On the linear independence of sets of 2 q columns of certain (1, −1) matrices with a group structure, and its connection with finite geometries....Pages 79-88 The doehlert-klee problem: Part I, statistical background....Pages 89-100 On the cayley index of a group....Pages 101-105 A survey of extremal (r, λ )-systems and certain applications....Pages 106-110 On the enumeration of certain graceful graphs....Pages 111-115 Fixing subgraphs of K m,n ....Pages 116-125 Hadamard equivalence....Pages 126-135 A note on equidistant permutation arrays....Pages 136-147 The combinatorics of algebraic graph theory in theoretical physics....Pages 148-156 Graphs, groups and polytopes....Pages 157-164 Decompositions of complete symmetric digraphs into the four oriented quadrilaterals....Pages 165-173 Brick packing....Pages 174-183 Colour symmetry in crystallographic space groups....Pages 184-192 Generation of a frequency square orthogonal to a 10×10 latin square....Pages 193-198 Factorization in the monoid of languages....Pages 199-205 On graphs as unions of eulerian graphs....Pages 206-209 The analysis of colour symmetry....Pages 210-222 Computing automorphisms and canonical labellings of graphs....Pages 223-232 On a result of bose and shrikhande....Pages 233-239 Further results on a problem in the design of electrical circuits....Pages 240-247 Transversals and finite topologies....Pages 248-254 Asymptotic number of self-converse oriented graphs....Pages 255-266 Some correspondences involving the schröder numbers and relations....Pages 267-274 A computer listing of hadamard matrices....Pages 275-281 A class of codes generated by circulant weighing matrices....Pages 282-289 An application of maximum-minimum distance circuits on hypercubes....Pages 290-299 Decompositions of graphs and hypergraphs....Pages 300-307 Some extremal problems in combinatorial geometry....Pages 308-312 Distance-regular graphs....Pages 313-323 A note on baxter's generalization of the temperley-lieb operators....Pages 324-328 Autocorrelation of (+1,−1) sequences....Pages 329-336 Triangles in labelled cubic graphs....Pages 337-345 Problems....Pages 346-349