Hamiltonian properties of Toeplitz graphs
✍ Scribed by René van Dal; Gert Tijssen; Zsolt Tuza; Jack A.A. van der Veen; Christina Zamfirescu; Tudor Zamfirescu
- Book ID
- 103061437
- Publisher
- Elsevier Science
- Year
- 1996
- Tongue
- English
- Weight
- 524 KB
- Volume
- 159
- Category
- Article
- ISSN
- 0012-365X
No coin nor oath required. For personal study only.
✦ Synopsis
Conditions are given for the existence of hamiltonian paths and cycles in the so-called Toeplitz graphs, i.e. simple graphs with a symmetric Toeplitz adjacency matrix.
📜 SIMILAR VOLUMES
## Abstract In this paper we show that every connected, 3‐γ‐critical graph on more than 6 vertices has a Hamiltonian path.
Let G be a group generated by X. A Cayley graph ouer G is defined as a graph G(X) whose vertex set is G and whose edge set consists of all unordered pairs [a, b] with a, b E G and am'b E X U X-', where X-t denotes the set (x-t ( .x E X}. When X is a minimal generating set or each element of X is of