The number of nonseparable graphs on n labeled points and q lines is u(n, 9). In the second paper of this series an exact formula for u(n, n + k) was found for general n and successive (small) k. The method would give an asymptotic approximation for fixed k as n + 30. Here an asymptotic approximatio
On the Edge Independence Number of a Regular Graph with Large Edge Connectivity
β Scribed by IZAK BROERE; GARY CHARTRAND; ORTRUND R. OELLERMANN; CURTISS E. WALL
- Book ID
- 119862999
- Publisher
- John Wiley and Sons
- Year
- 1989
- Tongue
- English
- Weight
- 346 KB
- Volume
- 555
- Category
- Article
- ISSN
- 0890-6564
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
The graphs with exactly one, two or three independent edges are determined.
A graph G with maximum degree and edge chromatic number (G)> is edge--critical if (G -e) = for every edge e of G. It is proved here that the vertex independence number of an edge--critical graph of order n is less than 3 5 n. For large , this improves on the best bound previously known, which was ro
## 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