For any positive integer s, an s-partition of a graph G = ( ! -( β¬I is a partition of E into El U E2 U U E k, where 14 = s for 1 I i 5 k -1 and 1 5 1 4 1 5 s and each β¬; induces a connected subgraph of G. We prove (i) if G is connected, then there exists a 2-partition, but not neces-(ii) if G is 2-e
β¦ LIBER β¦
The connectivity of the SEE-graph and AEE-graph for the connected spanning k-edge subgraphs of a graph
β Scribed by Xueliang Li
- Book ID
- 108316148
- Publisher
- Elsevier Science
- Year
- 1998
- Tongue
- English
- Weight
- 447 KB
- Volume
- 183
- Category
- Article
- ISSN
- 0012-365X
No coin nor oath required. For personal study only.
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## Abstract An (__n, q__) graph has __n__ labeled points, __q__ edges, and no loops or multiple edges. The number of connected (__n, q__) graphs is __f(n, q)__. Cayley proved that __f(n, n__^β1^) = __n__^nβ2^ and Renyi found a formula for __f(n, n)__. Here I develop two methods to calculate the exp