A linear algorithm for finding total colorings of partial fc-trees

Shuji Isobe; Xiao Zhou; Takao Nishizeki

doi:10.1007/3-540-46632-0_35

A linear algorithm for finding total colorings of partial fc-trees

Shuji Isobe, Xiao Zhou, Takao Nishizeki

INF - System Information Sciences

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

3 Citations (Scopus)

Abstract

A total coloring of a graph G is a coloring of all elements of G, i.e. vertices and edges, in such 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, i.e., graphs with bounded tree-width. However, no efficient algorithm has been known for the total coloring problem on partial fc-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 fc-trees with bounded fc.

Original language	English
Title of host publication	Algorithms and Computation - 10th International Symposium, ISAAC 1999, Proceedings
Editors	C. Pandu Rangan, Alok Aggarwal
Publisher	Springer-Verlag
Pages	347-356
Number of pages	10
ISBN (Print)	3540669167, 9783540669166
DOIs	https://doi.org/10.1007/3-540-46632-0_35
Publication status	Published - 1999 Jan 1
Event	10th Annual International Symposium on Algorithms and Computation, ISAAC 1999 - Chennai, India Duration: 1999 Dec 16 → 1999 Dec 18

Publication series

Name	Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)
Volume	1741
ISSN (Print)	0302-9743
ISSN (Electronic)	1611-3349

Other

Other	10th Annual International Symposium on Algorithms and Computation, ISAAC 1999
Country	India
City	Chennai
Period	99/12/16 → 99/12/18

ASJC Scopus subject areas

Theoretical Computer Science
Computer Science(all)

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Isobe, S., Zhou, X., & Nishizeki, T. (1999). A linear algorithm for finding total colorings of partial fc-trees. In C. P. Rangan, & A. Aggarwal (Eds.), Algorithms and Computation - 10th International Symposium, ISAAC 1999, Proceedings (pp. 347-356). (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics); Vol. 1741). Springer-Verlag. https://doi.org/10.1007/3-540-46632-0_35

A linear algorithm for finding total colorings of partial fc-trees. / Isobe, Shuji ; Zhou, Xiao; Nishizeki, Takao.

Algorithms and Computation - 10th International Symposium, ISAAC 1999, Proceedings. ed. / C. Pandu Rangan; Alok Aggarwal. Springer-Verlag, 1999. p. 347-356 (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics); Vol. 1741).

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

Isobe, S , Zhou, X & Nishizeki, T 1999, A linear algorithm for finding total colorings of partial fc-trees. in CP Rangan & A Aggarwal (eds), Algorithms and Computation - 10th International Symposium, ISAAC 1999, Proceedings. Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics), vol. 1741, Springer-Verlag, pp. 347-356, 10th Annual International Symposium on Algorithms and Computation, ISAAC 1999, Chennai, India, 99/12/16. https://doi.org/10.1007/3-540-46632-0_35

Isobe S , Zhou X, Nishizeki T. A linear algorithm for finding total colorings of partial fc-trees. In Rangan CP, Aggarwal A, editors, Algorithms and Computation - 10th International Symposium, ISAAC 1999, Proceedings. Springer-Verlag. 1999. p. 347-356. (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)). https://doi.org/10.1007/3-540-46632-0_35

Isobe, Shuji ; Zhou, Xiao ; Nishizeki, Takao. / A linear algorithm for finding total colorings of partial fc-trees. Algorithms and Computation - 10th International Symposium, ISAAC 1999, Proceedings. editor / C. Pandu Rangan ; Alok Aggarwal. Springer-Verlag, 1999. pp. 347-356 (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)).

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