A Sufficient Condition for Planar Graphs with Maximum Degree 8 to Be 9-totally Colorable
A Sufficient Condition for Planar Graphs with Maximum Degree 8 to Be 9-totally Colorable
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Heidelberg: Institute of Mathematics, Chinese Academy of Sciences and Chinese Mathematical Society
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English
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Heidelberg: Institute of Mathematics, Chinese Academy of Sciences and Chinese Mathematical Society
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A total k-coloring of a graph G is a coloring of V(G) ∪ E(G) using k colors such that no two adjacent or incident elements receive the same color. The total chromatic number χ''(G) is the smallest integer k such that G has a total k-coloring. It is known that if a planar graph G has maximum degree △≥ 9, then )χ″(G) =△+ 1. In this paper, we prove th...
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Full title
A Sufficient Condition for Planar Graphs with Maximum Degree 8 to Be 9-totally Colorable
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TN_cdi_proquest_miscellaneous_1541436065
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https://devfeature-collection.sl.nsw.gov.au/record/TN_cdi_proquest_miscellaneous_1541436065
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ISSN
1439-8516
E-ISSN
1439-7617
DOI
10.1007/s10114-014-3170-z