Frucht and Giudici classified all graphs having quadratic a-polynomials. Here w e classify all chromatically unique graphs having quadratic (Tpolynomials.
Classification of Graphs Having Cubic σ-Polynomials
✍ Scribed by NIAN-ZU LI; EARL GLEN WHITEHEAD JR.
- Book ID
- 119862783
- Publisher
- John Wiley and Sons
- Year
- 1989
- Tongue
- English
- Weight
- 342 KB
- Volume
- 576
- Category
- Article
- ISSN
- 0890-6564
No coin nor oath required. For personal study only.
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## 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
Du, Q., On o-polynomials and a class of chromatically unique graphs, Discrete Mathematics 115 (1993) 153-165. Let cr(G)=C:,,aicr '-' be the u-polynomial of a graph G. We ask the question: When k and a, are given, what is the largest possible value of ai(O < i < k) for any graph G? In this paper, thi