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THE ASCENDING SUBGRAPH DECOMPOSITION OF K_n-H_(2n-1)
引用本文:MA Kejie(Institute of Operations Research in Qufu Normal University,Qufu 273165,China)ZHANG Yuzhong(Institute of Applied Mathematics,Academia Sinica,Beijing 100080,China). THE ASCENDING SUBGRAPH DECOMPOSITION OF K_n-H_(2n-1)[J]. 系统科学与复杂性, 1997, 0(4)
作者姓名:MA Kejie(Institute of Operations Research in Qufu Normal University  Qufu 273165  China)ZHANG Yuzhong(Institute of Applied Mathematics  Academia Sinica  Beijing 100080  China)
作者单位:MA Kejie(Institute of Operations Research in Qufu Normal University,Qufu 273165,China)ZHANG Yuzhong(Institute of Applied Mathematics,Academia Sinica,Beijing 100080,China)
摘    要:
1.IntroductiollAlavi,Y.etal.presentedaconceptofsubgraphdecompositionin[1],whichiscalledascendingsubgraphdecomposition(abbreviatedASD).GivenagraphGwithqedges,C: ,5q5C: ,GissaidtohaveanASD,ifthereisnsuchthatGcanbedecomposedintonsubgraphsGIjGi,''3G.withouti…


THE ASCENDING SUBGRAPH DECOMPOSITION OF K_n-H_(2n-1)
MA Kejie. THE ASCENDING SUBGRAPH DECOMPOSITION OF K_n-H_(2n-1)[J]. Journal of Systems Science and Complexity, 1997, 0(4)
Authors:MA Kejie
Abstract:
A conjecture concerning a new kind of subgraph decomposition, the ascendingsubgraph decomposition, was proposed by Alavi Y. et al., as follows: Every graph ofpositive size has an ascending subgraph decomposition. In this paper it is proved thatG = Kn- H2n-1 has an ascending subgraph decomposition, where H2n-1 is any graphwith at most n venices and at most 2n - 1 edges (n > 6).
Keywords:Conjecture   ascending subgraph decomposition.
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