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Neighborhood Union of Essential Sets and Hamiltonicity of Claw-Free Graphs
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作者 徐新萍 《Journal of Southeast University(English Edition)》 EI CAS 2002年第2期184-187,共4页
Let G be a graph, an independent set Y in G is called an essential independent set (or essential set for simplicity), if there is {y 1,y 2} Y such that dist (y 1,y 2)=2. In this paper, we wi... Let G be a graph, an independent set Y in G is called an essential independent set (or essential set for simplicity), if there is {y 1,y 2} Y such that dist (y 1,y 2)=2. In this paper, we will use the technique of the vertex insertion on l connected ( l=k or k+1,k≥2 ) claw free graphs to provide a unified proof for G to be hamiltonian or 1 hamiltonian, the sufficient conditions are expressed by the inequality concerning ∑ki=0N(Y i) and n(Y) for each essential set Y={y 0,y 1,...,y k} of G , where Y i={y i,y i-1 ,...,y i-(b-1) }Y for i∈{0,1,...,k} (the subscriptions of y j ’s will be taken modulo k+1 ), b ( 0【b【k+1 ) is an integer, and n(Y)={v∈V(G): dist (v,Y)≤2 }. 展开更多
关键词 HAMILTONICITY claw free graph neighborhood union vertex insertion essential set
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MINIMAL ESSENTIAL SETS AND ESSENTIAL COMPONENTS OF THE EQUILIBRIA OF PRODUCTION ECONOMIES
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作者 向淑文 《Applied Mathematics and Mechanics(English Edition)》 SCIE EI 2000年第8期909-914,共6页
The purpose of this paper is to give a further study on the stability of production economies. The new results were given by considering the 'set-valued' stability of equilibria. It is proved that there exists... The purpose of this paper is to give a further study on the stability of production economies. The new results were given by considering the 'set-valued' stability of equilibria. It is proved that there exists at least one minimal essential set of equilibrium points of the economy and every minimal essential set is connected. Based on these results, it is easy to prove that there is at least one essential component of the set of equilibrium points. 展开更多
关键词 production economy minimal essential set essential component
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Polarity for a Class of Levy Processes 被引量:2
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作者 Wu Chuan ju 1,2 , Liu Lu qin 1 1. School of Mathematics and Statistics, Wuhan University, Wuhan 430072, Hubei, China 2. College of Urban Construction, Wuhan University of Science and Technology, Wuhan 430070, Hubei, China 《Wuhan University Journal of Natural Sciences》 EI CAS 2002年第4期394-398,共5页
Polar set of Markov processes is an important concept in probabilistic potential theory, but it is not easy to judge the polarity of the sets. In this paper, we give some results which can be easily used to examine th... Polar set of Markov processes is an important concept in probabilistic potential theory, but it is not easy to judge the polarity of the sets. In this paper, we give some results which can be easily used to examine the polarity of the sets whenX t belongs to a special class of Levy processes. We also give a result about polar functions of symmetric stable processes. 展开更多
关键词 Levy process SUBORDINATOR (essentially) polar set polar function
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ON THE HITTING PROBABILITY AND POLARITY FOR A CLASS OF SELF-SIMILAR MARKOV PROCESSES 被引量:1
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作者 熊双平 刘禄勤 《Acta Mathematica Scientia》 SCIE CSCD 1999年第2期226-233,共8页
The anthem investigate the hitting probability, polarity and the relationship between the polarity and Hausdorff dimension for self-similar Markov processes with state space (0, infinity) and increasing path.
关键词 self-similar Markov process hitting probability polar set essential polar set Hausdorff dimension
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