𝔖 Bobbio Scriptorium
✦   LIBER   ✦

σ-polynomials and graph coloring

✍ Scribed by Robert R Korfhage


Publisher
Elsevier Science
Year
1978
Tongue
English
Weight
781 KB
Volume
24
Category
Article
ISSN
0095-8956

No coin nor oath required. For personal study only.


📜 SIMILAR VOLUMES


A Note on Graph Colorings and Graph Poly
✍ Noga Alon; Michael Tarsi 📂 Article 📅 1997 🏛 Elsevier Science 🌐 English ⚖ 230 KB

## 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

On color polynomials of Fibonacci graphs
✍ Sherif El-Basil 📂 Article 📅 1987 🏛 John Wiley and Sons 🌐 English ⚖ 216 KB

A recursion exists among the coefficients of the color polynomials of some of the families of graphs considered in recent work of Balasubramanian and Ramaraj.' Such families of graphs have been called Fibonacci graphs. Application to king patterns of lattices is given. The method described here appl

Coloring graph bundles
✍ Sandi Klavžar; Bojan Mohar 📂 Article 📅 1995 🏛 John Wiley and Sons 🌐 English ⚖ 502 KB

## Abstract Graph bundles generalize the notion of covering graphs and products of graphs. Several results about the chromatic numbers of graph bundles based on the Cartesian product, the strong product and the tensor product are presented. © 1995 John Wiley & Sons, Inc.

Minimum Coloring k-Colorable Graphs in P
✍ C.R. Subramanian 📂 Article 📅 1999 🏛 Elsevier Science 🌐 English ⚖ 137 KB

We present algorithms for minimum G -coloring k-colorable graphs drawn from random and semi-random models. In both models, an adversary initially splits Ž . the vertices into k color classes V , . . . , V of sizes ⍀ n each. In the first model,

Maximal σ-polynomials of connected 3-chr
✍ Ioan Tomescu 📂 Article 📅 2003 🏛 John Wiley and Sons 🌐 English ⚖ 113 KB 👁 1 views

## Abstract In the set of graphs of order __n__ and chromatic number __k__ the following partial order relation is defined. One says that a graph __G__ is less than a graph __H__ if __c__~__i__~(__G__) ≤ __c__~__i__~(__H__) holds for every __i__, __k__ ≤ __i__ ≤ __n__ and at least one inequality is