It is known that the class of line graphs of linear 3-uniform hypergraphs cannot be characterized by a finite list of forbidden induced subgraphs (R. N.
On subpancyclic line graphs
β Scribed by Xiong, Liming
- Publisher
- John Wiley and Sons
- Year
- 1998
- Tongue
- English
- Weight
- 160 KB
- Volume
- 27
- Category
- Article
- ISSN
- 0364-9024
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β¦ Synopsis
We give a best possible Dirac-like condition for a graph G so that its line graph L(G) is subpancyclic, i.e., L(G) contains a cycle of length l for each l between 3 and the circumference of G. The result verifies the conjecture posed by Xiong (Pancyclic results in hamiltonian line graphs, in:
π SIMILAR VOLUMES
In this paper all connected line graphs whose second largest eigenvalue does not exceed 1 are characterized. Besides, all minimal line graphs with second largest eigenvalue greater than 1 are determined.
graph designs on friendship graphs.
An edge in a graph G is called a wing if it is one of the two nonincident edges of an induced P 4 (a path on four vertices) in G. For a graph G, its winggraph W (G) is defined as the graph whose vertices are the wings of G, and two vertices in W (G) are connected if the corresponding wings in G belo
A perfect graph is critical, if the deletion of any edge results in an imperfect graph. We give examples of such graphs and prove some basic properties. We relate critically perfect graphs to well-known classes of perfect graphs, investigate the structure of the class of critically perfect graphs, a