Constructions of hamiltonian graphs with bounded degree and diameter
✍ Scribed by Aleksandar Ilić; Dragan Stevanović
- Book ID
- 108052485
- Publisher
- Elsevier Science
- Year
- 2009
- Tongue
- English
- Weight
- 437 KB
- Volume
- 22
- Category
- Article
- ISSN
- 0893-9659
No coin nor oath required. For personal study only.
📜 SIMILAR VOLUMES
There is considerable interest in constructing large networks with given diameter and maximum degree. In certain applications, there is a natural restriction for the networks to be planar. Thus, consider the problem of determining the maximum number of nodes in a planar network with maximum degree D
## Abstract Let __ex__ \* (__D__; __H__) denote the maximum number of edges in a connected graph with maximum degree __D__ and no induced subgraph isomorphic to __H.__ We prove that this is finite only when __H__ is a disjoint union of paths,m in which case we provide crude upper and lower bounds.