The minimum number of edges in graphs with prescribed paths
β Scribed by Nicholas Pippenger
- Publisher
- Springer
- Year
- 1978
- Tongue
- English
- Weight
- 919 KB
- Volume
- 12
- Category
- Article
- ISSN
- 1433-0490
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
Let H=(V H , E H ) be a graph, and let k be a positive integer. A graph G=(V G , E G ) is H-coverable with overlap k if there is a covering of the edges of G by copies of H such that no edge of G is covered more than k times. Denote by overlap(H, G) the minimum k for which G is H-coverable with over
A simple graph with n vertices is called Pi-connected if any two distinct vertices are connected by an elementary path of length i. In this paper, lower bounds of the number of edges in graphs that are both Pz-and Pi-connected are obtained. Namely if i ~j(n + I), then JE(G)I 3((4i -5)1(2i -2))(n -11