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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

https://devfeature-collection.sl.nsw.gov.au/record/TN_cdi_proquest_miscellaneous_1541436065

A Sufficient Condition for Planar Graphs with Maximum Degree 8 to Be 9-totally Colorable

About this item

Full title

A Sufficient Condition for Planar Graphs with Maximum Degree 8 to Be 9-totally Colorable

Publisher

Heidelberg: Institute of Mathematics, Chinese Academy of Sciences and Chinese Mathematical Society

Journal title

Acta mathematica Sinica. English series, 2014-06, Vol.30 (6), p.993-1006

Language

English

Formats

Publication information

Publisher

Heidelberg: Institute of Mathematics, Chinese Academy of Sciences and Chinese Mathematical Society

More information

Scope and Contents

Contents

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...

Alternative Titles

Full title

A Sufficient Condition for Planar Graphs with Maximum Degree 8 to Be 9-totally Colorable

Authors, Artists and Contributors

Identifiers

Primary Identifiers

Record Identifier

TN_cdi_proquest_miscellaneous_1541436065

Permalink

https://devfeature-collection.sl.nsw.gov.au/record/TN_cdi_proquest_miscellaneous_1541436065

Other Identifiers

ISSN

1439-8516

E-ISSN

1439-7617

DOI

10.1007/s10114-014-3170-z

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