玛尔哈巴·霍加, 艾尔肯·吾买尔. 完全图Kronecker积的一些点脆弱性参数(英文)[J]. Journal of Xinjiang University (Natural Science Edition in Chinese and English), 2010, 27(3): 276-279.
玛尔哈巴·霍加, 艾尔肯·吾买尔. 完全图Kronecker积的一些点脆弱性参数(英文)[J]. Journal of Xinjiang University (Natural Science Edition in Chinese and English), 2010, 27(3): 276-279.DOI:
Let G1 and G2 be two graphs.The Kronecker product G1 ×G2 of G1 and G2 has vertex set V(G1 ×G2) = V(G1)×V(G2) and edge set E(G1 ×G2) = {(u1
v1)(u2
v2) : u1u2 ∈ E(G1) and v1v2 ∈ E(G2)}.In this paper
we determine some vertex vulnerability parameters of the Kronecker product of complete graphs Km ×Kn for n ≥ m ≥ 2 and n ≥ 3.
关键词
Keywords
references
West D B.Introduction on Graph Theory[M].2001,second ed,Prentice-Hall,Upper Saddle River,NJ.
Jung H A.On maximal circuits in finite graphs[J].Ann Discrete Math,1978,3:129-144.
Barefoot C A,Entringer R,Swart H.Vulnerability in graphs-a comparative survey[J].J Combin Math Combin Comp,1987,1:13-22.
Barefoot C A,Entringer R,Swart H.Integrity of trees and powers of cycles[J].Congr Numer,1987,58:103-114.
Cozzens B,Wu Y.Vertex-neighbor-integrity of trees[J].Ars Combin,1996,43:169-180.
Cozzens B,Wu Y.Vertex-neighbor-integrity of powers of cycles[J].Ars Combin,1998,48:257-270.
Gambrell M J.Vertex-neighbor-integrity of magnifiers,expanders,and hyper-cubes[J].Discrete Math,2000,216:257-266.
Li Y,Zhang S,Li X.Rupture degree of graphs[J].Int J Comput Math,2005,82:793-803.
Alon N,Lubetzky E.Independent set in tensor graph powers[J].J Graph Theory,2007,54:73-87.
Bresar B,Imrich W,Klavzˇar S,et al.Hypercubes as directproducts[J].Discrete Math,2005,18:778-786.
Lammprey R H,Barnes B H.Products of graphs and applications[J].Modeling and Simulation,1974,5:1119-1123.
Ghozati S A.A finite automata approach to modeling the cross product of interconnection networks[J].Mathematical and Computer Modeling,1999,30:185-200.
Li F,Li X.Computing the rupture degrees of graphs[J].ISPAN,2004,368-373.
Zhang S,Li X,Han X.Computing the scattering number of graphs[J].Int J Comput.Math,2002,79:179-187.
Choudum S,Priya N.Tenacity of complete graph products and grids[J].Networks,1999,34:192-196.
Mamut A,Vumar E.Vertex vulnerability parameters of Kronecker products of complete graphs[J].Inf Proces Lett,2008,106:258-262.