Let G be a 2-connected graph, let u and v be distinct vertices in V (G), and let X be a set of at most four vertices lying on a common (u
On short paths through prescribed vertices of a graph
โ Scribed by Erhard Hexel
- Book ID
- 108113602
- Publisher
- Elsevier Science
- Year
- 2007
- Tongue
- English
- Weight
- 150 KB
- Volume
- 307
- Category
- Article
- ISSN
- 0012-365X
No coin nor oath required. For personal study only.
๐ SIMILAR VOLUMES
Notions and notations 1.1. Given an undirected graph G let V(G), E(G), K(G) and comp(G) denote the vertex-set, edge-set, vertex connectivity and number of components of G, respectively. Put P(G)={(X, Y): X~V(G), Tc\\_E(G--X)}. For X~V(G) let G(X) denote the induced suL\\*graph. For Y :\\_ E(G) let G
The main theorem of that paper is the following: let G be a graph of order n, of size at least (nZ -3n + 6 ) / 2 . For any integers k, n,, n2,. . . , nk such that n = n, + n2 + ... + nk and n, 2 3, there exists a covering of the vertices of G by disjoint cycles (C,),=,..,k with ICjl = n,, except whe