Graphs with small bandwidth and cutwidth

Discrete Mathematics, no. 1-3 (1989): 113-119

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We give counter-examples to the following conjecture which arose in the study of small bandwidth graphs. “For a graph G , suppose that | V ( G ')|≤ 1 + c 1 diameter ( G ') for any connected subgraph G ' of G , and that G does not contain any refinement of the complete binary tree of c 2 levels. Is it true that the bandwidth of G can be bo...更多

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