On the Euler genus of a 2-connected graph
β Scribed by R.Bruce Richter
- Book ID
- 107884254
- Publisher
- Elsevier Science
- Year
- 1987
- Tongue
- English
- Weight
- 475 KB
- Volume
- 43
- Category
- Article
- ISSN
- 0095-8956
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
We find an upper bound on the algebraic connectivity of graphs of various genus. We begin by showing that for fixed k 1, the graph of genus k of largest algebraic connectivity is a complete graph. We then find an upper bound for noncomplete graphs of a fixed genus k 1 and we determine the values of
## Abstract The eulericity Ο΅(__G__) of a bridgeless graph __G__ is defined as the least number of eulerian subgraphs of __G__ which together cover the lines of __G__. A 1β1 correspondence is shown to exist between the __k__βtuples of eulerian subgraphs of __G__ and the proper flows (mod2^__k__^) on