Frucht and Giudici classified all graphs having quadratic a-polynomials. Here w e classify all chromatically unique graphs having quadratic (Tpolynomials.
On σ-polynomials and a class of chromatically unique graphs
✍ Scribed by Qingyan Du
- Publisher
- Elsevier Science
- Year
- 1993
- Tongue
- English
- Weight
- 655 KB
- Volume
- 115
- Category
- Article
- ISSN
- 0012-365X
No coin nor oath required. For personal study only.
✦ Synopsis
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, this question is answered and the extremal graphs are characterized.
So, the results in are generalized.
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