简介:Itisprovedthatisa(Δ+1)-colorablegraph,soarethegraphsG×PnandC×Cn,wherePnandCnarerespectivelythepathandcyclewithnvertices,andΔthemaximumedgedegreeofthegraph.TheexactchromaticnumbersoftheproductgraphsPr1×Pr2×…×PrnandC3k×C2m1×C2m2×…×C2mnarealsopresented.Thusthetltalcoloringconjectureisprovedtobetrueformanyothergraphs.
简介:十多年前苹果发布首款笔记本以来,PowerBook就一直是苹果高端笔记本的代名词,2001年推出的PowerBook钛系列更是给人们留下了深刻的印象。在很多人的心中,钛本已经成为了一个永恒的经典,收藏在记忆中。最新推出的PowerBook15成为了钛本的升级版,初见PowerBook15的时候(以下简称PB15)也许还不太习惯,或许是钛本的记忆犹在。但深入体验后,你会发现,PB15带来的惊喜同样有很多很多。
简介:Inthispaper,buildingtogrid(B2G)andvehicletogrid(V2G)havebeendefinedwithclearandpracticalunderstanding.Bothofthemarenewgenerationtechnologieswhicharetheessentialpartofsmartcitylivingandcrowdenergyclustering.Firstly,anin-detailedoverviewhasbeenprovidedwithanintroductiontoB2GandV2Gfollowedbyahistoricaloverviewandtheoreticalanalysisinrespecttosmartcityplanning.Next,areviewisconductedoncurrentandprevioussmartlivingresearch,whichdealswithB2GandV2G.EfficientB2GandV2Gimplementationsinpracticalcasesthenhavebeendiscussed.Lastly,bothofthesetechnicalprospectshavebeenanalyzedincrowdenergydiagram.