共查询到20条相似文献,搜索用时 343 毫秒
1.
ForbiddenSubgraphs,Distance,andHamiltonicityHUZhiquanDepartmentofMathematics,HuazhongNormalUniversity,Wuhan430070Abstract:Agr... 相似文献
2.
LI Guojun 《系统科学与系统工程学报(英文版)》1994,(1)
TwoSufficientConditionsforHamiltonianGraphsLIGuojun(DepartmentofMathematics,YantaiTeacher'sCollege,Yantai264000,Shandong)LIUZ... 相似文献
3.
CAI Maocheng 《系统科学与复杂性》1995,(4)
ADEGREECONDITIONFORTHEEXISTENCEOFCONNECTED[k,k+1]-FACTORSADEGREECONDITIONFORTHEEXISTENCEOFCONNECTED[k,k+1]-FACTORS¥CAIMaochen... 相似文献
4.
GAO Jingzhen 《系统科学与复杂性》1996,(1)
PANCONNECTIVITYAND2-CONNECTEDCLAW-FREEGRAPHS¥GAOJingzhen(DepartmentofMathematics,ShaddockNormalUniversity,Jinan250014,China)Z... 相似文献
5.
SHI Minyong 《系统科学与复杂性》1999,(3)
1.IntroductionInthispaperweconsideronlyfiniteundirectedlooplessgraphs.ForasubgraphHofG,E(H)andP(H)denotethenumberofedgesandthenUmberofcyclesinHrespectively.GiventwodisjointsubsetsXandYofV(G),wewriteEG(X,Y)={acEE(G)IxEX,y6Y}.IfTisatreeinGande=acEG--E(T)with{u,v}CV(T),thenT econtainsauniquecycle.WedenotethiscyclebyC(T,e).Aforestiscalledak-tree-forestifitconsistsofexactlykpairwisedisjointtrees.ForagraphG,ifE(G)canbepartitionedilltoseveralpairwisedisjointsetsas{EI,EZ,...,EI}such… 相似文献
6.
XUBaogang ZHOUXinghe 《系统科学与复杂性》2005,18(3):340-346
The circular clique number of a graph G is the maximum fractional k/d such that G^kd admits a homomorphism to G. In this paper, we give some sufficient conditions for graphs whose circular clique number equal the clique number, we also characterize the K1,3-free graphs and planar graphs with the desired property. 相似文献
7.
LI Xiangwen 《系统科学与复杂性》1998,(4)
1.IntroductionWeconsideronlysimplefinitegraphs.OurbasicnotationandterminologynotdefinedherefollowthOSeofBondyandMurtyll].ForagraphG,letV(G)andE(G)(orjustVandE)deDOtelievertexsetandedgeset,respectively.Wedenoteapathandacyclecontaining8veniCesbyPaandCarespectively.ThecycleCaiscalledans-cycle.Denotebyg(G)(orbrieflybyg)thegirthofG1.SetNC=min{IN(u)UN(v)l:tv相似文献
8.
Journal of Systems Science and Complexity - This paper presents a quantum algorithm to decide whether a Boolean equation system $$\mathcal{F}$$ has a solution and to compute one if $$\mathcal{F}$$... 相似文献
9.
王江鲁 《系统工程理论与实践》1999,19(11):121-123
设G是一个图,B = {v ∈V(G)|〈N(v)〉不连通}.如果B是独立集,并且v ∈B,u ∈V(G), 使〈N(u) ∪{u}〉连通,则称G是几乎局部连通图.本文证明:连通、几乎局部连通无爪图是完全圈可扩的. 相似文献
10.
This paper is devoted to the study of semi-bent functions with several parameters flexible on the finite field F2n.Boolean functions defined on F2n of the form f(r)ab(x) =Trn1(axr(2m-1))+Tr41(bx(2n-1)/5) and the form g(rs)abcd(x)=Trn1(axr(2m-1))+Tr41(bx(2n-1)/5)+Trn1(cx(2m-1)1/2+1)+Trn1(dx(2m-1)s+1) where n = 2m,m = 2(mod 4),a,c ∈ F2n,and b ∈ F(16),d ∈ F2,are investigated in constructing new classes of semi-bent functions.Some characteristic sums such as Kloosterman sums and Weil sums are employed to determine whether the above functions are semi-bent or not. 相似文献
11.
In this paper,the MacWilliams type identity for the m-ply Lee weight enumerator for linear codes over F2 + uF2 is determined.As an application of this identity,the authors obtain a MacWilliams type identity on Lee weight for linear codes over F2m+ uF2m.Furthermore,the authors prove a duality for the m-ply Lee weight distributions by taking advantage of the Krawtchouk polynomials. 相似文献
12.
This paper introduces a Gray map from(Fp + uFp)n to Fp2n,and describes the relationship between codes over Fp + vFp and their Gray images.The authors prove that every cyclic code of arbitrary length n over Fp + vFp is principal,and determine its generator polynomial as well as the number of cyclic codes.Moreover,the authors obtain many best-known p-ary quasic-cyclic codes in terms of their parameters via the Gray map. 相似文献
13.
王江鲁 《系统工程理论与实践》1997,17(9):69-71
图G中的一个与K1,3同构的导出子图叫做G的一个爪。爪中的3次顶点叫该爪的爪心。B表示G中所有爪心构成的集合。本文将证明:设G是顶点数≥3的连通、局部连通图,如果G的爪心集合B是点独立集,且G-B是局部连通的,则G是完全圈可扩的。 相似文献
14.
GUO Da chang 《系统科学与复杂性》2000,(1)
1.IntroductionLetGbeafinitegroup.ForaCayleysubsetSofGnotcontainingtheidentityelement1,theCayley(di)graphX~Cay(G,S)ofGwithrespecttoSisdefinedasthedirectedgraphwithvertexsetV(X)=GandedgesetE(X)={(g,sg)IgEG,s6S}.IfS=S--',thentheadjacencyrelationissymmet... 相似文献
15.
MA Kejie 《系统科学与复杂性》1997,(4)
1.IntroductiollAlavi,Y.etal.presentedaconceptofsubgraphdecompositionin[1],whichiscalledascendingsubgraphdecomposition(abbreviatedASD).GivenagraphGwithqedges,C: ,5q5C: ,GissaidtohaveanASD,ifthereisnsuchthatGcanbedecomposedintonsubgraphsGIjGi,''3G.withouti… 相似文献
16.
LONG DOMINATING CYCLES IN GRAPHS 总被引:1,自引:0,他引:1
SUN Zhiren 《系统科学与复杂性》1998,(4)
1.IntroductionAllgraphsconsideredinthispaperwillbefiniteandsimple.WeuseBondyandMurty[1]forterminologyandnotationsnotdefinedhere.LetG=(V,E)beagraphofordernandCbeacycleinG.Ciscalledadominatingcycle,orbrieflyaD--cycle,ifV(G)\V(C)isanindependentsetinG.ForavertexvinG,theneighborhoodofvisdenotedbyN(v),andthedegreeofvisdenotedbyd(v).FortwosubsetsSandTofV(G),wesetNT(S)~{vET\S:N(v)nS/0}.WewriteN(u,v)insteadofNV(G)({u,v})foranyu,vEV(G).IfFandHaretwosubgraphsofG,wealsowriteNF(H)insteado… 相似文献
17.
The purpose of this paper is to present a general iterative scheme as below:
and to prove that, if {α
n
} and {r
n
} satisfy appropriate conditions, then iteration sequences {x
n
} and {u
n
} converge strongly to a common element of the set of solutions of an equilibrium problem and the set of fixed points of a
nonexpansive mapping and the set of solution of a variational inequality, too. Furthermore, by using the above result, we
can also obtain an iterative algorithm for solution of an optimization problem , where h(x) is a convex and lower semicontinuous functional defined on a closed convex subset C of a Hilbert space H. The results presented in this paper extend, generalize and improve the results of Combettes and Hirstoaga, Wittmann, S.Takahashi,
Giuseppe Marino, Hong-Kun Xu, and some others.
This research is supported by the National Natural Science Foundation of China under Grant No. 10771050. 相似文献
18.
DUHong 《系统科学与复杂性》2004,17(1):143-146
Let F be a field of characteristic zero. W_n =is the Witt algebra over F, W_n~ =is Lie subalgebra of W_n. It is well known both W_n and W_n~ are simple infinite dimensional Lie algebra. In Zhao's paper, it was conjectured thatEnd(W_n~ ) - {0} = Aut(W_n~ ) and it was proved that the validity of this conjecture im-plies the validity of the well-known Jacobian conjecture. In this short note, we check theconjecture above for n = 1. We show End(W_1~ ) - {0} = Aut(W_1~ ). 相似文献
19.
Let be the set of trees on 2k+1 vertices with nearly perfect matchings, and let be the set of trees on 2k + 2 vertices with perfect matchings. The largest Laplacian spectral radii of trees in and and the corresponding trees were given by Guo (2003). In this paper, the authors determine the second to the sixth largest Laplacian spectral radii among all trees in and give the corresponding trees.
This research is supported by the National Natural Science Foundation of China under Grant No. 10331020. 相似文献
20.
<正> Carvalho,Lucchesi and Murty proved that any 1-extendable graph G different from K_2and C_(2n)has at least Δ(G)edge-disjoint removable ears,and any brick G distinct from K_4 and■hasat least Δ(G)-2 removable edges,where Δ(G)denotes the maximum degree of G.In this paper,weimprove the lower bounds for numbers of removable ears and removable edges of 1-extendable graphs.It is proved that any 1-extendable graph G different from K_2 and C_(2n)has at least χ′(G)edge-disjointremovable ears,and any brick G distinct from K_4 and■has at least χ′(G)-2 removable edges,whereχ′(G)denotes the edge-chromatic number of G. 相似文献