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E LAZUKA AND J ZURAWIECKI
FlTZPATRICK AND R J NOWAKOWSKI
B Zmazek and J Zerovnik
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adjacent algorithm antimagic assume C-edge called cardinality chromatic number colouring complete bipartite graph complete graph condition conjecture connected graph consider contradiction Corollary cycle of length cyclic block defined denote diam(G digraph Discrete Math disjoint dominating set domination number e-mail Figure function G Co(a G contains G E(G G V(G geodetic number graph bundle graph G graph of order Graph Theory Graph Theory 20 h.c. triangle half-convex Halin graph Hamilton cycle hamiltonian Hence hull graph hypergraph implies independent set induced path induced subgraph isomorphic least Lemma Let G Mathematics Subject Classification minimal minimum geodetic set minimum hull set neighbor obtain odd dominating set orgraph pair pancyclic partition perfect graphs planar graph polynomial positive integer problem properties of graphs Proposition prove result set of G strongly multiplicative Subcase suborgraph subset Suppose to-circle tree vertex set weakly connected component