The total chromatic number of an arbitrary graph is the smallest number of colours needed to colour the edges and vertices of the graph so that no two adjacent or incident elements of the graph receive the same colour. In this paper we prove that the problem of determining the total chromatic number
✦ LIBER ✦
String graphs. II. recognizing string graphs is NP-hard
✍ Scribed by Jan Kratochvíl
- Publisher
- Elsevier Science
- Year
- 1991
- Tongue
- English
- Weight
- 712 KB
- Volume
- 52
- Category
- Article
- ISSN
- 0095-8956
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An induced path-cycle double cover (IPCDC) of a simple graph G is a family F Å {F 1 , . . . , F k } of induced paths and cycles of G such that if F i ʝ F j x M, then F i ʝ F j is a vertex or an edge, for i x j, each edge of G appears in precisely two of the F i 's, and each vertex of G appears in pr