Binding number and minimum degree for the existence of (g,f,n)-critical graphs
โ Scribed by Hongxia Liu; Guizhen Liu
- Book ID
- 107619774
- Publisher
- Springer-Verlag
- Year
- 2008
- Tongue
- English
- Weight
- 292 KB
- Volume
- 29
- Category
- Article
- ISSN
- 1598-5865
No coin nor oath required. For personal study only.
๐ SIMILAR VOLUMES
A graph is called K1,.-free if it contains no K l , n as an induced subgraph. Let n ( r 3), r be integers (if r is odd, r 2 n -1). We prove that every Kl,,-free connected graph G with rlV(G)I even has an r-factor if its minimum degree is at least This degree condition is sharp.
## Reseirrch problems Problem 142. The symmetric genus of a group G is the minimum genus of a surface on which G acts. Let A, denote the alternating group of degree n, y(G) denote the genus of the group G, and a(G) the symmetric genus of G. Is the following conjecture true? Conjecture: For at leas