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Computing graph invariants on rotagraphs using dynamic algorithm approach: the case of (2,1)-colorings and independence numbers

✍ Scribed by Sandi Klavžar; Aleksander Vesel


Book ID
104294151
Publisher
Elsevier Science
Year
2003
Tongue
English
Weight
571 KB
Volume
129
Category
Article
ISSN
0166-218X

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✦ Synopsis


Rotagraphs generalize all standard products of graphs in which one factor is a cycle. A computer-based approach for searching graph invariants on rotagraphs is proposed and two of its applications are presented. First, the -numbers of the Cartesian product of a cycle and a path are computed, where the -number of a graph G is the minimum number of colors needed in a (2; 1)-coloring of G. The independence numbers of the family of the strong product graphs C7 C7 C 2k+1 are also obtained.