We characterize bipartite Steinhaus graphs in three ways by partitioning them into four classes and we describe the color sets for each of these classes. An interesting recursion had previously been given for the number of bipartite Steinhaus graphs and we give two fascinating closed forms for this
Disconnected Complements of Steinhaus graphs
✍ Scribed by Wayne M. Dymàček; Matthew Koerlin; Jean-Guy Speton; Tom Whaley; Jennifer Yanulavich
- Publisher
- Elsevier Science
- Year
- 2002
- Tongue
- English
- Weight
- 548 KB
- Volume
- 11
- Category
- Article
- ISSN
- 1571-0653
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📜 SIMILAR VOLUMES
Let µ be an eigenvalue of the graph G with multiplicity k. A star complement for µ in G is an induced subgraph H = G -X such that |X| = k and µ is not an eigenvalue of G -X. Various graphs related to (generalized) line graphs or their complements are characterized by star complements corresponding t
Andreae, T., M. Schughart and Z. Tuza, Clique-transversal sets of line graphs and complements of line graphs, Discrete Mathematics 88 (1991) 11-20. A clique-transversal set T of a graph G is a set of vertices of G such that T meets all maximal cliques of G. The clique-transversal number, denoted t,(
If X is a geodesic metric space and x 1 , x 2 , x 3 ∈ X , a geodesic triangle T = {x 1 , x 2 , x 3 } is the union of the three geodesics [x 1 x 2 ], [x 2 x 3 ] and [x 3 x 1 ] in X . The space X is δ-hyperbolic (in the Gromov sense) if any side of T is contained in a δ-neighborhood of the union of th