Connected graphs containing a given connected graph as a unique greatest common subgraph
โ Scribed by Gary Chartrand; Mark Johnson; Ortrud R. Oellermann
- Publisher
- Springer
- Year
- 1986
- Tongue
- English
- Weight
- 609 KB
- Volume
- 31
- Category
- Article
- ISSN
- 0001-9054
No coin nor oath required. For personal study only.
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A graph G is called uniquely hamiitonian-connected from a vertex v if, for every vertex u ยข: v, there is exactly one v-u hamiltonian path in G. The main results are that if [ V(G)[ = n 3, then (1) deg(v) is even (2) n is odd, and ( ) IE(G)[<~(3n-3)I2. Several constructions of graphs uniquely hamilto
## Abstract We examine the problem of embedding a graph __H__ as the center of a supergraph __G__, and we consider what properties one can restrict __G__ to have. Letting __A(H)__ denote the smallest difference โฃ__V(G)__โฃ โ โฃ__V(H)__โฃ over graphs __G__ having center isomorphic to __H__ it is demons