Split-critical and uniquely split-colorable graphs
Ekim, Tinaz, Ries, Bernard and de Werra, Dominique. (2010) Split-critical and uniquely split-colorable graphs. Discrete Mathematics & Theoretical Computer Science, Vol.12 (No.5). pp. 1-24. ISSN 1365-8050Full text not available from this repository.
Official URL: http://www.dmtcs.org/dmtcs-ojs/index.php/dmtcs/art...
The split-coloring problem is a generalized vertex coloring problem where we partition the vertices into a minimum number of split graphs. In this paper, we study some notions which are extensively studied for the usual vertex coloring and the cocoloring problem from the point of view of split-coloring, such as criticality and the uniqueness of the minimum split-coloring. We discuss some properties of split-critical and uniquely split-colorable graphs. We describe constructions of such graphs with some additional properties. We also study the effect of the addition and the removal of some edge sets on the value of the split-chromatic number. All these results are compared with their cochromatic counterparts. We conclude with several research directions on the topic.
|Item Type:||Journal Article|
|Subjects:||Q Science > QA Mathematics > QA76 Electronic computers. Computer science. Computer software
Q Science > QA Mathematics
|Divisions:||Faculty of Social Sciences > Warwick Business School|
|Journal or Publication Title:||Discrete Mathematics & Theoretical Computer Science|
|Publisher:||D M T C S|
|Number of Pages:||24|
|Page Range:||pp. 1-24|
|Access rights to Published version:||Open Access|
|Funder:||B.U. Research Fund, Centre for Discrete Mathematics and Its Applications (DIMAP), University of Warwick, FNR|
|Grant number:||09A302P, TR-PDR BFR08-17|
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