Fibonacci index and stability number of graphs: a
✍ Scribed by Véronique Bruyère; Hadrien Mélot
- Publisher
- Springer US
- Year
- 2009
- Tongue
- English
- Weight
- 668 KB
- Volume
- 18
- Category
- Article
- ISSN
- 1382-6905
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## Abstract A spanning subgraph whose vertices have degrees belonging to the interval [__a,b__], where __a__ and __b__ are positive integers, such that __a__ ≤ __b__, is called an [__a,b__]‐factor. In this paper, we prove sufficient conditions for existence of an [__a,b__]‐factor, a connected [__a,
## Abstract We describe a new class of graphs for which the stability number can be obtained in polynomial time. The algorithm is based on an iterative procedure that, at each step, builds from a graph __G__ a new graph __G^l^__ that has fewer nodes and has the property that α(__G^l^__) = α(__G__)
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