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Coloring squares of graphs via vertex orderings

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dc.creator Yetim, Mehmet Akif
dc.date 2021-02-01T00:00:00Z
dc.date.accessioned 2021-12-03T12:03:38Z
dc.date.available 2021-12-03T12:03:38Z
dc.identifier dbc1e9d9-3d7a-4788-8da9-6ebb160b2b35
dc.identifier 10.1142/s1793830920500937
dc.identifier https://avesis.sdu.edu.tr/publication/details/dbc1e9d9-3d7a-4788-8da9-6ebb160b2b35/oai
dc.identifier.uri http://acikerisim.sdu.edu.tr/xmlui/handle/123456789/95276
dc.description We provide upper bounds on the chromatic number of the square of graphs, which have vertex ordering characterizations. We prove that G(2) is (3 Delta - 2)-colorable when G is a cocomparability graph, (Delta + mu)-colorable when G is a strongly orderable graph and (Delta + 1)-colorable when G is a dually chordal graph, where Delta(G) is the maximum degree and mu(G) = max{vertical bar N-G(x) boolean AND N-G(y)vertical bar: x, y is an element of V (G)} is the multiplicity of the graph G. This improves the currently known upper bounds on the chromatic number of squares of graphs from these classes.
dc.language eng
dc.rights info:eu-repo/semantics/closedAccess
dc.title Coloring squares of graphs via vertex orderings
dc.type info:eu-repo/semantics/article


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