𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Necessary condition for a chromatic polynomial

✍ 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

No coin nor oath required. For personal study only.


πŸ“œ SIMILAR VOLUMES


A chromatic partition polynomial
✍ Einar SteingrΓ­msson πŸ“‚ Article πŸ“… 1998 πŸ› Elsevier Science 🌐 English βš– 618 KB

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

A Matrix Method for Chromatic Polynomial
✍ Norman Biggs πŸ“‚ Article πŸ“… 2001 πŸ› Elsevier Science 🌐 English βš– 111 KB

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