It is well-known that the largest cycles of a graph may have empty intersection. This is the case, for example, for any hypohamiltonian graph. In the literature, several important classes of graphs have been shown to contain examples with the above property. This paper investigates a (nontrivial) cl
On Center Cycles in Grid Graphs
✍ Scribed by Les R. Foulds; Horst W. Hamacher; Anita Schöbel; Tadashi Yamaguchi
- Book ID
- 111558471
- Publisher
- Springer US
- Year
- 2003
- Tongue
- English
- Weight
- 108 KB
- Volume
- 122
- Category
- Article
- ISSN
- 0254-5330
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📜 SIMILAR VOLUMES
A matrix method is used to determine the number of Hamiltonian cycles on \(P_{m} \times P_{n}, m=4\), 5. This provides an alternative to other approaches which had been used to solve the problem. The method and its more generalized version, transfer-matrix method, may give easier solutions to cases
Hartman I.B.-A., I. Newman and R. Ziv, On grid intersection graphs, Discrete Mathematics 87 (1991) 41-52. A bipartite graph G = (X, Y; E) has a grid representation if X and Y correspond to sets of horizontal and vertical segments in the plane, respectively, such that (xi, y,) E E if and only if segm
A cycle C in G is said to be locally geodesic at a vertex v if for each vertex u on C, the distance between v and u in C coincides with that in G. It will be shown that a self-centered graph of radius 2 contains a cycle of length 4 or 5 which is locally geodesic at each vertex and conversely that if