## Bulletin of the Institute of Combinatorics and Its Applications, Volumes 37-39 |

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4-cycle system a-resolvable BIB design adjacent algorithm Anne Penfold blocks canonical pre-image chromatic polynomial claw-free clique polynomial coefficient color column Combinatorics complete graphs component Computer conference conjecture construction contains copy Corollary critical sets cubic graph defined Definition deleting denote Department of Mathematics disjoint dominating set elements exists Figure finite following result function graph G Graph Theory graphs of order grid graph Hamilton cycle Hedetniemi Hence induced induced subgraph Institute of Combinatorics Kirkman Medal latin trade least common multiple Lemma Let G linear code linear code modulo linear polygonal chain lower bound Math mod q mutually orthogonal latin nodes Note number of edges number of spanning orthogonal latin squares pair partition Petersen graph polygonal chain poset positive integer problem rectangular grid graph semi-Latin squares simple graphs spanning 2-connected subgraph spanning trees squares of order subsets Suppose system of order truncated rectangular grid University vertex vertices watchmen