新疆大学数学与系统科学学院,新疆大学数学与系统科学学院,新疆大学数学与系统科学学院 新疆乌鲁木齐830046,新疆乌鲁木齐830046,新疆,乌鲁木齐,830046
纸质出版:2007
移动端阅览
[1]阿依古丽.马木提,艾尔肯.吾买尔,边红.一些特殊图类乘积的离散度(英文)[J].新疆大学学报(自然科学版),2007,No.106(02):159-165.
阿依古丽.马木提, 艾尔肯.吾买尔, 边红. 一些特殊图类乘积的离散度(英文)[J]. Journal of Xinjiang University (Natural Science Edition in Chinese and English), 2007, 106(2): 159-165.
连通图的离散度是用s(G)来表示的
s(G)=max{ω(G-S)-|S|:ω(G-S)>1
SV(G)}.给出了两个完全图乘积的和一个完全图与路的乘积的离散度.还给出了两个完全图乘积的坚韧度.
The scattering number s(G) of a noncomplete connected graph G is defined by s(G) =max ω(G-S)-|S|:ω(G-S)>1
SV(G)}.In this paper
we determine the scattering number of the product of two complete graphs and the product of a path and a complete graph.Moreover
we determine the toughness of the product of two complete graphs.
Bondy J A,Murty U S R.Graph Theory with applications,Macmillan[M].New York:London and Elsevier,1976.
Hendry G R T.Scattering number and extremal non-hamiltonian graphs[J].Discrete Math,1998,71:165-175.
Jamrozik J,Kalinowski R,Skupien Z.A catalogue of small maximal nonhamiltonian graphs[J].Discrete Math,1982,39:229-234.
Giakoumakis G,Roussel F,Thuillier H.Scattering number and modulor decomposition[J].Discrete Math,1997,165/166:321-342.
Giakoumakis G,Roussel F,Thuillier H.On P4-tidy graphs[J].Discrete Math and Theoretical Computer Science,1997,(1):17-41.
Hoschta。ttler W,Tinhofer G.Hamiltonicity in graphs with few P4s[J].Rutcor Research Report,RRR,1997:16-93.
Ouyang K,Yu W.Relative breaktivity of graphs[J].J Lanzhou University(Natural Sciences),1993,29(3):43-49.
Zhang S,Wang Z.Scattering Number in graphs[J].Networks,2001,37:102-106.
Bauer D,Morgana A,Schmeichel E F.On the complexity of recognizing tough graphs[J].Discrete Math,1994,124:13-17.
Kratsch D,Kloks T,Müuller H.Measuring the vulnerability for classes of intersection graphs[J].DiscreteApplied Math,1997,77(3):259-270.
Zhang S Li X,Han X.Computing the scattering number of graphs[J].Int J Comput Math,2002,79:179-187.
Imrich W,Klaz∨zar S.ProductGraphs:Structure and Reconition[M].USA:Wiely,2000.
0
浏览量
52
下载量
0
CSCD
关联资源
相关文章
相关作者
相关机构
京公网安备11010802024621
