NEPS operations on cordial graphs
โ Scribed by Walter W. Kirchherr
- Publisher
- Elsevier Science
- Year
- 1993
- Tongue
- English
- Weight
- 557 KB
- Volume
- 115
- Category
- Article
- ISSN
- 0012-365X
No coin nor oath required. For personal study only.
๐ SIMILAR VOLUMES
Zhu, Y.-J., F. Tian and X.-T. Deng, More powerful closure operations on graphs, Discrete Mathematics 87 (1991) 197-214. Bondy and Chvatal have observed the following result: G = (V, E) is a simple graph of order n. If uu $ E and d(u) + d(u) 2 n, then G is Hamiltonian iff G + uu is Hamiltonian. Thus,
For a given graph G and vertices u, v in G let ,,,~ ~(.,~) G(-,,o) G~, o) denote the graph Gm ~ Va , ~s :, obtained from G by merging vertices u, v, adding edge (u, v), subdividing edge (u, v), contracting edge (u, v) of G, respectively. We give upper and lower bounds for the bandwidth of ~'~ ~(~'~)
Shee, S.-C. and Y.-S. Ho, The cordiality of one-point union of n copies of a graph, Discrete Mathematics 117 (1993) 225-243. In this paper we give an equivalent definition of a cordial graph. The definition implies a previous result of Cahit (1986); it also enables us to find infinite families of n
The branching operation D, defined by Propp, assigns to any directed graph G another directed graph D(G) whose vertices are the oriented rooted spanning trees of the original graph G. We characterize the directed graphs G for which the sequence ฮด(G) = (G, D(G), D 2 (G), . . .) converges, meaning tha
We study Harper operators and the closely related discrete magnetic Laplacians (DML) on a graph with a free action of a discrete group, as defined by Sunada [Sun]. A main result in this paper is that the spectral density function of DMLs associated to rational weight functions on graphs with a free