We show that a graph G on n I 9 + 1 vertices (where 9 z 2) has the chromatic polynomial P(G; A) = A(A -1) ... (Aq + 2) (A -9 + 1)' (Aq)n-4-1 if and only if G can be obtained from a q-tree Ton n vertices by deleting an edge contained in exactly q -1 triangles of T: Furthermore, we prove that these gr
Classification of certain subgraphs of the 3-dimensional grid
β Scribed by Jan Kristian Haugland
- Publisher
- John Wiley and Sons
- Year
- 2002
- Tongue
- English
- Weight
- 190 KB
- Volume
- 42
- Category
- Article
- ISSN
- 0364-9024
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β¦ Synopsis
Abstract
We prove by βtrialβ andβerrorβ that up to isometry, there are exactly four different nonβempty cubic induced subgraphs of the 3βdimensional grid with girth β₯ 10. Β© 2002 Wiley Periodicals, Inc. J Graph Theory 42: 34β60, 2003
π SIMILAR VOLUMES
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