## Abstract Let __P__~1~(__n__), __P__~2~(__n__), __P__~3~(__n__) denote the normβpolyhedra cube, crosspolytope and sphere in the Euclidean __n__βspace. We consider the polyhedra __D__~__i,j__~(__n__):=__P__~__i__~(__n__)β©__P__~__j__~(__n__) with 1 β¦ __i__ β __j__ β¦ 3. In [2] posed the question abo
On a problem of J. Csima
β Scribed by Liang Sun
- Publisher
- Elsevier Science
- Year
- 1991
- Tongue
- English
- Weight
- 88 KB
- Volume
- 87
- Category
- Article
- ISSN
- 0012-365X
No coin nor oath required. For personal study only.
β¦ Synopsis
A problem of J. Csima on the factorization of regular bipartite graphs is settled.
Let G be a k-regular bipartite graph with bipartition (X, Y). We say that G is a k-spread if IN(S)] 3 ]SI + k -1 for every S c X satisfying 1 s IS] s 1x1k + 1, where N(S) denotes the neighborhood of S. Note that a connected. Csima [l] posed the following conjecture.
π SIMILAR VOLUMES
At the problem session of the 14th British Combinatorial Conference, Cameron asked for a bijection between the set of permutations of { 1,2 ..... nl. with all cycles of even length and the set of permutations of { 1, 2 ..... n} with all cycles odd (where n is even). Here we give bijections between m
Let M m be a matching with m edges, n 2m. We prove that the smallest number of complete bipartite graphs which partition the edges of K n +M m is at least n&m+w-2mx&1.