Combinatorial Mathematics III

A partial census of trivalent generalized Moore networks.- A note on balanced weighing matrices.- The theory of left-right paths.- The graph of the chromial of a graph.- An alternative to the round robin tournament.- Host-parasite relationships.- Computer assisted generation of difference blocks.- Maximal sets of one-factors.- Comparing the shapes of trees.- An amusing proof in fluctuation theory.- "Combination of events" made easy.- Stability and operations on graphs.- Decomposition of complete graphs into 6-stars and into 10-stars.- Some problems in permutation graphs.- On the matrices used to construct baumert-hall arrays.- A conjecture about circuits in planar graphs.- Stability and cacti.- An algorithm for finding the shortest terminal strings which can be produced from non-terminals in context-free grammars.- Some translation planes with elations which are not translations.- All erections of a combinatorial geometry and their automorphism groups.- Nested designs from sum-free sets.- Non-colourable trivalent graphs.