## Abstract Let __G__ be a simple graph of order __n__ with no isolated vertices and no isolated edges. For a positive integer __w__, an assignment __f__ on __G__ is a function __f__: __E__(__G__) โ {1, 2,โฆ, __w__}. For a vertex __v__, __f__(__v__) is defined as the sum __f__(__e__) over all edges
Irregularity strength of regular graphs of large degree
โ Scribed by D. Amar
- Publisher
- Elsevier Science
- Year
- 1993
- Tongue
- English
- Weight
- 437 KB
- Volume
- 114
- Category
- Article
- ISSN
- 0012-365X
No coin nor oath required. For personal study only.
๐ SIMILAR VOLUMES
A p-factor of a graph G is a regular spanning subgraph of degree p . For G regular of degree d ( G ) and order 2n, let ( p l , ..., p,) be a partition of d ( G ) , so that p i > 0 ( I S i S r ) and p , i i pr = d(G). If H I . ..., H, are edge-disjoint regular spanning subgraphs of G of degrees p I ,
## Abstract In 1960, Dirac posed the conjecture that __r__โconnected 4โcritical graphs exist for every __r__ โฅ 3. In 1989, Erdลs conjectured that for every __r__ โฅ 3 there exist __r__โregular 4โcritical graphs. In this paper, a technique of constructing __r__โregular __r__โconnected vertexโtransiti
## Abstract All planar connected graphs regular of degree four can be generated from the graph of the octahedron, using four operations.