Universal maximal packing functions of graphs
β Scribed by E.J. Cockayne; O. Favaron; C.M. Mynhardt
- Publisher
- Elsevier Science
- Year
- 1996
- Tongue
- English
- Weight
- 502 KB
- Volume
- 159
- Category
- Article
- ISSN
- 0012-365X
No coin nor oath required. For personal study only.
β¦ Synopsis
A packing function
N[v]
denotes the closed neighbourhood of vertex v). We consider the existence of universal maximal packing functions, i.e. maximal packing functions (MPFs) whose convex combinations with all other MPFs are themselves MPFs.
π SIMILAR VOLUMES
Seyffarth, K., Packings and perfect path double covers of maximal planar graphs, Discrete Mathematics 117 (1993) 1833195. A maximal planar graph is a simple planar graph in which every face is a triangle, and a perfect packing of such a graph by 2-cliques and facial triangles corresponds to a parti
We define the class of undirected graphs associated with the feedback functions. Next, we construct a mapping which transforms a given feedback function into the circuit matrix of the corresponding graph. This mapping establishes some linear dependences between the nonlinear feedback functions, so i
## Abstract The center of a graph is defined to be the subgraph induced by the set of vertices that have minimum eccentricities (i.e., minimum distance to the most distant vertices). It is shown that only seven graphs can be centers of maximal outerplanar graphs.