Presentation | 1999/10/25 A Linear Algorithm for Finding Total Colorings of Partial k-Trees Shuji Isobe, Xiao Zhou, Takao Nishizeki, |
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Abstract(in Japanese) | (See Japanese page) |
Abstract(in English) | A total coloring of a graph G is to color all vertices and edges of G in a way that no two adjacent or incident elements receive the same color. The total coloring problem is to find a total coloring of a given graph with the minimum number of colors. Many combinatorial problems can be efficiently solved for partial k-trees, that is, graphs with bounded treewidth. However, no efficient algorithm has been known for the total coloring problem on partial k-trees although a polynomial-time algorithm of very high order has been known. In this paper, we give a linear-time algorithm for the total coloring problem on partial k-trees. |
Keyword(in Japanese) | (See Japanese page) |
Keyword(in English) | total coloring / total coloring problem / generalized coloring / superimpose / s-degenerated graph |
Paper # | COMP99-41 |
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Conference Information | |
Committee | COMP |
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Conference Date | 1999/10/25(1days) |
Place (in Japanese) | (See Japanese page) |
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Paper Information | |
Registration To | Theoretical Foundations of Computing (COMP) |
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Language | ENG |
Title (in Japanese) | (See Japanese page) |
Sub Title (in Japanese) | (See Japanese page) |
Title (in English) | A Linear Algorithm for Finding Total Colorings of Partial k-Trees |
Sub Title (in English) | |
Keyword(1) | total coloring |
Keyword(2) | total coloring problem |
Keyword(3) | generalized coloring |
Keyword(4) | superimpose |
Keyword(5) | s-degenerated graph |
1st Author's Name | Shuji Isobe |
1st Author's Affiliation | Graduate School of Information Sciences, Tohoku University() |
2nd Author's Name | Xiao Zhou |
2nd Author's Affiliation | Graduate School of Information Sciences, Tohoku University |
3rd Author's Name | Takao Nishizeki |
3rd Author's Affiliation | Graduate School of Information Sciences, Tohoku University |
Date | 1999/10/25 |
Paper # | COMP99-41 |
Volume (vol) | vol.99 |
Number (no) | 388 |
Page | pp.pp.- |
#Pages | 8 |
Date of Issue |