

浏览全部资源
扫码关注微信
漳州师范学院数学系,福建,漳州,363000
Published:2005
移动端阅览
[1]黄琴.蕴含K_5-e图的度序列[J].新疆大学学报(自然科学版),2005(03):276-284.
黄琴. 蕴含K5-e图的度序列[J]. Journal of Xinjiang University (Natural Science Edition in Chinese and English), 2005, (3).
设σ(G
n)是具有下述性质的最小正偶数
每一项和至少为σ(G
n)的n项可图序列π都有一个实现包含G作为子图.本文给出σ(K5-e
7)=32
σ(K5-e
8)=36
以及当n≥9时
σ(K5-e
n)=2[5n2-6].
A sequence π is potentially K -5-e graphical if it has a realization containing a K -5-e. Let σ(K -5-e
n) denote the smallest degree sum such that every graphical sequence π with σ(π)≥σ(K -5-e
n) is potentially K -5-e graphical. In this paper
we prove that σ(K -5-e
7)=32
σ(K -5-e
8)=36
and for n≥9
σ(K -5-e
n)=2[[SX(]5n-6[]2[SX)]].
Erdo's P,Jacobson M S and Lehel J.Graphs realizing the same degree sequences and their respective clique numbers[M],in Graph Theory,Combinatorics Applications,Vol.l(Y.Alavietal.ed.)John Wiley Sons,Inc,New York,1991,439-449.
Li Jiong-Sheng and Song Zi-Xia An extemal problem on the potentially Pk-graphical sequences[J].Discrete Math,2000,212:223-231.
Li Jiong-Sheng and Song Zi-Xia.The smallest degree sum that yields potintially Pk-graphical sequences[J].J Graph Theory,1998,29:63-72.
Jiong-Sheng and Song Zi-Xia.On the potetially Pk-raphic sequences[J].Discrete Math,1999,195:255-262.
Li Jiong-Sheng,Song Zi-Xia,Lou Rong.The Erdos-Jacobson-Lehel conjecture on potentiallyPk-graphical sequences[J].Science in China,1998,41(5):510-520.
RMJR.J.Gould,Jacobson M S and Lehel.J Potentially,G-graphical degree sequences[C].in:Y.Alavi,D.R.Lick and A.Schwenk,eds,Combinatoncs,graph theory and algorithms,Vol2,New Issues Press,Kalamazoo,MI,1999,451-460.
Lai1Lai Chunhui.Potentially Ck-graphical degree sequences[J].J ZhangZhou Teachers College,1997,11(4):27-31.
Lai Chunhui.The smallest degree sum that yields potentially Ckgraphical sequences[J].Journal of Combinatorial Mathematics and Combinatorial Computing,2004,49:57-64.
Lai Chunhui.A note on potentially K4-egraphical sequences[J].Australasian J of Combinatorics,2001,24:123-127.
QinHuang Qin.Potentially Km-e-graphical degree sequences[J].J ZhangZhou Teachers College,2002,15(4):26-28.
Kleitman D J,Wang D L.Algorithm for constructing graphs and digraphs with given valences and factors[J].Discrete Math,1973,6(1):79-88.
ErdErdo∨s P,Gallai T.Graphs with given degree of vertices[J].Math Lapok,1960,(11):264-274.
Rao A R.The clique number of a graph with a given degree sequence[C],in Proc.Symposium on Graph Theory(A.R.Rao ed.).MacMillan and Co India Ltd,I Lecture Note Series,1979,4:251-267.
0
Views
34
下载量
0
CSCD
Publicity Resources
Related Articles
Related Author
Related Institution
京公网安备11010802024621