The concepts of strongly vertex triangle regular graphs and strongly edge triangle regular graphs are introduced. An expression for the triangle number of a vertex in the composition of two graphs is obtained. It is proved that a self-complementary graph is strongly regular if and only if it is stro
A conjecture on triangles of graphs
β Scribed by Zsolt Tuza
- Publisher
- Springer Japan
- Year
- 1990
- Tongue
- English
- Weight
- 563 KB
- Volume
- 6
- Category
- Article
- ISSN
- 0911-0119
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
Let K~ ) be the umon of two complete graphs on n vertices which have preosely one vertex in common. Graham and Sloane have shown that K~ ~ is not harmomous for n od:~, /(~,~ is harmonious, and K~62~ is not harmonious. They also conjecture that K~' t,, not h,~rmomous except for n = 4. Here, it Is sho
Zs. Tuza conjectured that if a simple graph G does not contain more than k pairwise edge disjoint triangles, then there exists a set of at most 2k edges which meets all triangles in G. We prove this conjecture for K,, 3 -free graphs (graphs that do not contain a homeomorph of K,. 3). Two fractional