简介:Inthispaper,HamiltoniancyclesanddecompositionsofCayleydigraphsareinvestigat-ed.Sufficientconditionsaregivenforthesetwoproblemsrespectively.Furthermore,theconditionsarealsonecesaaryfor2-regularCayleydisraphs,Inaddition,someknownresultsabouttheCartesianproductsoftwodirectedcyclesarealsodeduced.
简介:通过拟Abelian范畴的局部类构造出函子范畴的局部类,进一步研究函子范畴的局部化范畴与局部化范畴的函子范畴之间的关系.
简介:WeextendtheconceptofframemultiresolutionanalysistoalocallycompactabeliangroupanduseittodefinecertainweightedBanachspacesandthespacesoftheirantifunctionals.Wedefineanalysisandsynthesisoperatorsonthesespacesandestablishthecontinuityoftheircomposition.Also,weproveageneralresulttocharacterizeinfinitetreesintheaboveBanachspacesofantifunctionals.ThispaperpavesthewayforthestudyofcorrespondingproblemsassociatedwithsomeothertypesofBanachspacesonlocallycompactabeliangroupsincludingmodulationspaces.