On the maximal index of connected graphs
β Scribed by F.K. Bell
- Book ID
- 107826417
- Publisher
- Elsevier Science
- Year
- 1991
- Tongue
- English
- Weight
- 673 KB
- Volume
- 144
- Category
- Article
- ISSN
- 0024-3795
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π SIMILAR VOLUMES
## Abstract In this paper we obtain chromatic polynomials of connected 3β and 4βchromatic planar graphs that are maximal for positive integerβvalued arguments. We also characterize the class of connected 3βchromatic graphs having the maximum number of __p__βcolorings for __p__ β₯ 3, thus extending a
Generalizing a theorem of Moon and Moser. we determine the maximum number of maximal independent sets in a connected graph on n vertices for n sufficiently large, e.g., n > 50. = I .32. . .). Example 1.2. Let b, = i(C,), where C,z denotes the circuit of length n. Then b, = 3, 6, = 2, b, = 5, and b,
## 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__) β€ __c__~__i__~(__H__) holds for every __i__, __k__ β€ __i__ β€ __n__ and at least one inequality is