## Abstract Let π» denote the family of simple undirected graphs on __v__ vertices having __e__ edges ((__v__, __e__)βgraphs) and __P__(__G__; Ξ») be the chromatic polynomial of a graph __G.__ For the given integers __v__, __e__, and Ξ», let __f__(__v__, __e__, Ξ») denote the greatest number of proper
β¦ LIBER β¦
Dynamic proper colorings of a graph
β Scribed by D. V. Karpov
- Book ID
- 106436600
- Publisher
- Springer US
- Year
- 2011
- Tongue
- English
- Weight
- 353 KB
- Volume
- 179
- Category
- Article
- ISSN
- 1573-8795
No coin nor oath required. For personal study only.
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## dedicated to professor w. t. tutte on the occasion of his eightieth birtday It is known that the chromatic number of a graph G=(V, E) with V= [1, 2, ..., n] exceeds k iff the graph polynomial f G => ij # E, i<j (x i &x j ) lies in certain ideals. We describe a short proof of this result, using