Certain problems involving the coloring the edges or vertices of infinite graphs are shown to be undecidable. In particular, let G and H be finite 3-connected graphs, or triangles. Then a doubly-periodic infinite graph F is constructed such that the following problem is undecidable: For a coloring o
Maximizing the number of unused colors in the vertex coloring problem
โ Scribed by Refael Hassin; Shlomo Lahav (Haddad)
- Publisher
- Elsevier Science
- Year
- 1994
- Tongue
- English
- Weight
- 321 KB
- Volume
- 52
- Category
- Article
- ISSN
- 0020-0190
No coin nor oath required. For personal study only.
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## Abstract Given a __list of boxes L__ for a graph __G__ (each vertex is assigned a finite set of colors that we call a box), we denote by __f__(__G, L__) the number of Lโ__colorings__ of __G__ (each vertex must be colored wiht a color of its box). In the case where all the boxes are identical and