## Abstract Given a simple plane graph __G__, an edge‐face __k__‐coloring of __G__ is a function ϕ : __E__(__G__) ∪ __F__(G) → {1,…,__k__} such that, for any two adjacent or incident elements __a__, __b__ ∈ __E__(__G__) ∪ __F__(__G__), ϕ(__a__) ≠ ϕ(__b__). Let χ~e~(__G__), χ~ef~(__G__), and Δ(__G_
Numbers of edges in supermagic graphs
✍ Scribed by Svetlana Drajnová; Jaroslav Ivančo; Andrea Semaničová
- Publisher
- John Wiley and Sons
- Year
- 2006
- Tongue
- English
- Weight
- 109 KB
- Volume
- 52
- Category
- Article
- ISSN
- 0364-9024
No coin nor oath required. For personal study only.
✦ Synopsis
Abstract
A graph is called supermagic if it admits a labelling of the edges by pairwise different consecutive integers such that the sum of the labels of the edges incident with a vertex is independent of the particular vertex. In the paper we establish some bounds for the number of edges in supermagic graphs. © 2005 Wiley Periodicals, Inc. J Graph Theory 52: 15–26, 2006
📜 SIMILAR VOLUMES
Let F = {F,, . . .} be a given class of forbidden graphs. A graph G is called F-saturated if no F, E F is a subgraph of G but the addition of an arbitrary new edge gives a forbidden subgraph. In this paper the minimal number of edges in F-saturated graphs is examined. General estimations are given a
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