In the paper two (a local and an expanding) inductive definitions of the class of all simple connected bipartite cubic graphs are given. ## 0. ~n~~uction We shall use the notions and notations from [l, 31. An inductive definition of a class Cn(S?'; 9) is local iff for each rule from 9 the part of
Maximal resonance of cubic bipartite polyhedral graphs
β Scribed by Wai Chee Shiu; Heping Zhang; Saihua Liu
- Publisher
- Springer
- Year
- 2010
- Tongue
- English
- Weight
- 801 KB
- Volume
- 48
- Category
- Article
- ISSN
- 0259-9791
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π SIMILAR VOLUMES
An even polyhedral decomposition of a finite cubic grap;'i G is defined a-, a sel of elem,:nlar~ cycles of even length ir~ G with the property that each edge of G lies in exactly two of them. l~" G has chromatic index three, then G has an e~en !polyhedral decomposition. We ~d~ow ~hat. contrary to a
The aim of this paper is to determine the maximal number of induced K(t, t) subgraphs in graphs of given order and in graphs of given size. Given a graph G and a natural number t, denote by ft(G) the number of induced subgraphs of G isomorphic to K(t, t). Our notation is that of ; in particular, K(
## Abstract A cubic triangleβfree graph has a bipartite subgraph with at least 4/5 of the original edges. Examples show that this is a best possible result.
## Abstract We consider the expected size of a smallest maximal matching of cubic graphs. Firstly, we present a randomized greedy algorithm for finding a small maximal matching of cubic graphs. We analyze the averageβcase performance of this heuristic on random __n__βvertex cubic graphs using diffe