The enumeration of labeled graphs by number of cutpoints
β Scribed by S.M. Selkow
- Publisher
- Elsevier Science
- Year
- 1998
- Tongue
- English
- Weight
- 351 KB
- Volume
- 185
- Category
- Article
- ISSN
- 0012-365X
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
Let G be a graph, let R be a finite field and F a subgroup of the automorphism group Aut G of G. For a labeling of the vertices of G with elements of R, we consider labelings of the edges of G with elements of R such that the label on each edge is equal to the sum of labels on the two incident verti
## Abstract Several operations on 4βregular graphs and pseudographs are analyzed and equations are obtained relating the numbers of these graphs on given numbers of labeled points. These equations are used recursively to find the numbers of 4βregular graphs on up to 13 labeled points.
Let S be a finite set and u a permutation on S. The permutation u\* on the set of 2-subsets of S is naturally induced by u. Suppose G is a graph and V(G), β¬(G) are the vertex set, the edge set, respectively. Let V(G) = S. If β¬(G) and u\*(β¬(G)), the image of β¬(G) by u\*, have no common element, then