Combinatorial Mathematics: Proceedings of the International Conference on Combinatorial Theory, Canberra, August 16 - 27, 1977

ISBN-13: 9783540089537 / Angielski / Miękka / 1978 / 353 str.

D. A. Holton; J. Seberry

Spis treści

Reflections on the legitimate deck problem.- Some extremal problems on families of graphs and related problems.- Integral properties of combinatorial matrices.- A class of three-designs.- Isomorphic factorisations III: Complete multipartite graphs.- Biplanes and semi-biplanes.- Near-self-complementary designs and a method of mixed sums.- Recent progress and unsolved problems in dominance theory.- On the linear independence of sets of 2q columns of certain (1, ?1) matrices with a group structure, and its connection with finite geometries.- The doehlert-klee problem: Part I, statistical background.- On the cayley index of a group.- A survey of extremal (r,?)-systems and certain applications.- On the enumeration of certain graceful graphs.- Fixing subgraphs of Km,n.- Hadamard equivalence.- A note on equidistant permutation arrays.- The combinatorics of algebraic graph theory in theoretical physics.- Graphs, groups and polytopes.- Decompositions of complete symmetric digraphs into the four oriented quadrilaterals.- Brick packing.- Colour symmetry in crystallographic space groups.- Generation of a frequency square orthogonal to a 10×10 latin square.- Factorization in the monoid of languages.- On graphs as unions of eulerian graphs.- The analysis of colour symmetry.- Computing automorphisms and canonical labellings of graphs.- On a result of bose and shrikhande.- Further results on a problem in the design of electrical circuits.- Transversals and finite topologies.- Asymptotic number of self-converse oriented graphs.- Some correspondences involving the schröder numbers and relations.- A computer listing of hadamard matrices.- A class of codes generated by circulant weighing matrices.- An application of maximum-minimum distance circuits on hypercubes.- Decompositions of graphs and hypergraphs.- Some extremal problems in combinatorial geometry.- Distance-regular graphs.- A note on baxter's generalization of the temperley-lieb operators.- Autocorrelation of (+1,?1) sequences.- Triangles in labelled cubic graphs.- Problems.