A 2-coloring of a graph G is an assignment of 2 or fewer colors to the points of G so that no two adjacent points have the same color. The number of distinct 2-colorings of an n-point and e-edge graph G can be expressed by the chromatic polynomial P(G; 2) = ~7=1(-1 )"-iai(G)2i, where ai(G) are non-n
โฆ LIBER โฆ
Chromatic polynomials with least coefficients
โ Scribed by J. Rodriguez; A. Satyanarayana
- Book ID
- 104113786
- Publisher
- Elsevier Science
- Year
- 1997
- Tongue
- English
- Weight
- 275 KB
- Volume
- 172
- Category
- Article
- ISSN
- 0012-365X
No coin nor oath required. For personal study only.
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## ABSTRACC It is shown that a p +q node graph G, representation can be drawn for a chessboard C(p, q) i.e. an array of p rows and q columns. It is shown further that the coefficients of the rook polynomial for C(p, q) correspond 1: 1 inversely with the coefficients of the chromatic polynomial for
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