Let {Hi}i,2 ..... k be an isomorphic factorization of K. where k >/2 and k divides Β½n(n -1). If there is a permutation fl on V(K.) such that fl: V(Ht)---~ V(Ht,.,) is an isomorphism for i = 1, 2 ..... k -1 where {Ht,}i = 1,2 ..... k is a rearrangement of {H~}i = 1,2 ..... k then a graph G of order n
On cyclically K-complementary graphs
β Scribed by Jose M. Bernaldez
- Publisher
- Elsevier Science
- Year
- 1994
- Tongue
- English
- Weight
- 313 KB
- Volume
- 127
- Category
- Article
- ISSN
- 0012-365X
No coin nor oath required. For personal study only.
β¦ Synopsis
Let {HiL,.,,,.
,x be an isomorphic factorization of K,. If there is a permutation p on V(K.) such that /j': V(H,)+ V(H,+ ,) is an isomorphism for i= 1,2,
, k-1, then a graph isomorphic to Hi is called a cyclically k-complementary graph. In this paper, some theorems are presented to prove the existence of cyclically k-complementary graphs. It will also give some characterizations of the said graphs and of their permutations.
π SIMILAR VOLUMES
McCuaig, W., Cycles through edges in cyclically k-connected cubic graphs
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A regular self-complementary graph is presented which has no complementing permutation consisting solely of cycles of length four. This answers one of Kotzig's questions.
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