In this paper, we consider a bipartite distance-regular graph = (X, E) with diameter d β₯ 3. We investigate the local structure of , focusing on those vertices with distance at most 2 from a given vertex x. To do this, we consider a subalgebra R = R(x) of Mat X (C), where X denotes the set of vertice
The A4-structure of a graph
β Scribed by Michael D. Barrus; Douglas B. West
- Publisher
- John Wiley and Sons
- Year
- 2011
- Tongue
- English
- Weight
- 215 KB
- Volume
- 71
- Category
- Article
- ISSN
- 0364-9024
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π SIMILAR VOLUMES
A minimal point disconnecting set S of a graph G is a nontrivial m-separator, where m = IS I, if the connected components of G -S can be partitioned into two subgraphs each of which has at least two points. A 3-connected graph is quasi 4-connected if it has no nontrivial 3separators. This paper prov
The hamiltonian path graph H(F) of a graph F is that graph having the same vertex set as F and in which two vertices u and u are adjacent if and only if F contains a hamiltonian u -u path. First, in response to a conjecture of Chartrand, Kapoor and Nordhaus, a characterization of nonhamiltonian grap
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