A polynomial in two variables is defned by C,(x,t)= ~-~cn,, Z( a~,x)tl~l, where Hn is the lattice of partitions of the set { I, 2 ..... n}, G~ is a certain interval graph defined in terms of the partition 7r, z(G~,x) is the chromatic polynomial of G~ and Inl is the number of blocks in n. It " t ~-~i
β¦ LIBER β¦
Necessary condition for a chromatic polynomial
β Scribed by B. D. Kotlyar
- Book ID
- 110611586
- Publisher
- Springer US
- Year
- 1998
- Tongue
- English
- Weight
- 207 KB
- Volume
- 34
- Category
- Article
- ISSN
- 1573-8337
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The chromatic polynomials of certain families of graphs can be expressed in terms of the eigenspaces of a linear operator. The operator is represented by a matrix, which is referred to here as the compatibility matrix. In this paper complete sets of eigenfunctions are obtained for several related fa