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On the Maximum Matching Graph of a Graph
作者姓名:SHIYING WANG  JINJIANG YUAN  YAN LIU  YIXUN LIN
作者单位:SHIYING WANG; JINJIANG YUAN; YAN LIU; YIXUN LIN (Institute of Economics,Xinjiang University,Urumqi 830046)(Department of Mathematics,Zhengzhou University,Zhengzhou 450052)
摘    要:1IntroductionMatchingtheory,aswellastheassignmentprobleminlinearprogramming,hasawiderangeofapplicationinthetheoryandpracticeofoperationsresearch.Bysomepracticalmotivations,e.g.,forfindingalloptimalsolutions,peoplewanttoknowthestructurepropertiesofallmaximummatchingsofagraphG.InthecasethatGhasperfectmatchings,extensiveworkhasbeendoneontheso-calledperfectmatChinggrape(or1-factorgraph),inwhichtwoperfectmatchingsMIandMZaresaidtobeadjacentifMI~MZ@E(C)whereCisanMI-alternatingcycleofG.Therewer…


On the Maximum Matching Graph of a Graph
SHIYING WANG, JINJIANG YUAN, YAN LIU, YIXUN LIN.On the Maximum Matching Graph of a Graph[J].OR Transactions,1998(2).
Authors:SHIYING WANG  JINJIANG YUAN  YAN LIU  YIXUN LIN
Abstract:
Keywords:maximum matching graphs  maximum matchings  factor-critical graphs
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