Factorizations of free monoids and unavoidable regularities
β Scribed by Stefano Varricchio
- Publisher
- Elsevier Science
- Year
- 1990
- Tongue
- English
- Weight
- 676 KB
- Volume
- 73
- Category
- Article
- ISSN
- 0304-3975
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
A set of integers is said to be symmetric if there is an integer g such that the mapping on β«ήβ¬ given by n Β¬ g y n carries the set bijectively onto its complement in β«.ήβ¬ A numerical monoid A is a submonoid of the additive Γ 4 monoid of natural numbers β«ήβ¬ s 0, 1, 2, . . . whose complement β«ήβ¬ y A i
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.