Median and quasi-median direct products of graphs
Copyright policy )Median and quasi-median direct products of graphs
Summary: Median graphs are characterized among direct products of graphs on at least three vertices. Beside some trivial cases, it is shown that one component of \(G\times P_3\) is median if and only if \(G\) is a tree in that the distance between any two vertices of degree at least 3 is even. In addition, some partial results considering median graphs of the form \(G\times K_2\) are proved, and it is shown that the only nonbipartite quasi-median direct product is \(K_3\times K_3\).
- St. Cloud State University United States
- University of Maribor Slovenia
kvazimedianski graf, convexity, Distance in graphs, mathematics, direct product, graph theory, quasi-median graph, isometric embeddings, median graph, info:eu-repo/classification/udc/519.17, tree, medianski graf, konveksnost, teorija grafov, matematika, direktni produkt, izometrične vložitve, Structural characterization of families of graphs, distance
kvazimedianski graf, convexity, Distance in graphs, mathematics, direct product, graph theory, quasi-median graph, isometric embeddings, median graph, info:eu-repo/classification/udc/519.17, tree, medianski graf, konveksnost, teorija grafov, matematika, direktni produkt, izometrične vložitve, Structural characterization of families of graphs, distance
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