On k-graceful, locally finite graphs
โ Scribed by Peter J Slater
- Publisher
- Elsevier Science
- Year
- 1983
- Tongue
- English
- Weight
- 207 KB
- Volume
- 35
- Category
- Article
- ISSN
- 0095-8956
No coin nor oath required. For personal study only.
๐ SIMILAR VOLUMES
Lee, S.M. and SC. Shee, On Skolem graceful graphs, Discrete Mathematics 93 (1991) 195-200. A Skolem graceful labelling of graphs is introduced. It is shown that a tree is Skolem graceful iff it is graceful. The Skolem deficiency of a graph is defined and Skolem deficiencies of some well-known graphs
We identify the locally finite graphs that are quantifier-eliminable and their first order theories in the signature of distance predicates.
An \((m, n)\)-separator of an infinite graph \(\Gamma\) is a smallest finite set of vertices whose deletion leaves at least \(m\) finite components and at least \(n\) infinite components. It is shown that a vertex of \(\Gamma\) of finite valence belongs to only finitely many \((0,2)\)-separators. Va
Su, J., On locally k-critically n-connected graphs, Discrete Mathematics 120 (1993) 183-190. Let 0 # W'g V(G). The graph G is called a W-locally k-critically n-connected graph or simply a W-locally (n, k)-graph, if for all V'G W with 1 V'I 6 k and each fragment F of G we have that K(G-V')=n-1 V' and
The automorphism-group of an infinite graph acts in a natural way on the set of d-fibers (components of the set of rays with respect to the Hausdorff metric). For connected, locally finite, almost transitive graphs the kernel of this action is proved to be the group of bounded automorphisms. This co