A p-factor of a graph G is a regular spanning subgraph of degree p . For G regular of degree d ( G ) and order 2n, let ( p l , ..., p,) be a partition of d ( G ) , so that p i > 0 ( I S i S r ) and p , i i pr = d(G). If H I . ..., H, are edge-disjoint regular spanning subgraphs of G of degrees p I ,
On a problem of a. kotzig concerning factorizations of 4-regular graphs
β Scribed by Bohdan Zelinka
- Publisher
- John Wiley and Sons
- Year
- 1984
- Tongue
- English
- Weight
- 247 KB
- Volume
- 8
- Category
- Article
- ISSN
- 0364-9024
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
It can easily be seen that a conjecture of RUNGE does not hold for a class of graphs whose members will be called "almost regular". This conjecture is replaced by a weaker one, and a classification of almost regular graphs is given.
Let T and S be two number theoretical transformations on the n-dimensional unit cube B, and write TtS if there exist positive integers m and n such that T m =S n . F. Schweiger showed in [1969, J. Number Theory 1, 390 397] that TtS implies that every T-normal number x is S-normal. Furthermore, he co
## Abstract In 1960, Dirac posed the conjecture that __r__βconnected 4βcritical graphs exist for every __r__ β₯ 3. In 1989, ErdΕs conjectured that for every __r__ β₯ 3 there exist __r__βregular 4βcritical graphs. In this paper, a technique of constructing __r__βregular __r__βconnected vertexβtransiti