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Discrete Mathematics & Theoretical Computer Science |
In this paper, we give a lengthy proof of a small result! A graph is bisplit if its vertex set can be partitioned into three stable sets with two of them inducing a complete bipartite graph. We prove that these graphs satisfy the Chen-Chvátal conjecture: their metric space (in the usual sense) has a universal line (in an unusual sense) or at least as many lines as the number of vertices.
Source : ScholeXplorer
HasVersion DOI 10.48550/arxiv.1808.08710
Beaudou, Laurent ; Kahn, Giacomo ; Rosenfeld, Matthieu ; |