On quadrilaterals in a graph
β Scribed by Bert Randerath; Ingo Schiermeyer; Hong Wang
- Book ID
- 108316351
- Publisher
- Elsevier Science
- Year
- 1999
- Tongue
- English
- Weight
- 105 KB
- Volume
- 203
- Category
- Article
- ISSN
- 0012-365X
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
## Abstract Let __D__ be a directed graph of order 4__k__, where __k__ is a positive integer. Suppose that the minimum degree of __D__ is at least 6__k__βββ2. We show that __D__ contains __k__ disjoint directed quadrilaterals with only one exception. Β© 2005 Wiley Periodicals, Inc. J Graph Theory
note on minimal order of a bipartite graph with exactly 4 quadrilaterals, Discrete Mathematics 121 (1993) 229-233. We show that the minimal order of a bipartite graph having exactly 4 quadrilaterals is asymptotically equal to 2fl $j (as 4 tends to infinity).
Letf(n, H, 5) be the maximal number of edges in a graph with n vertices not containing a subgraph H compatible with a transition system X in the family of transition systems !T. Here we will use a family of transition systems X,, defined through local edge colourings. At each vertex the edge set is