简介:Itisprovedthatisa(Δ+1)-colorablegraph,soarethegraphsG×PnandC×Cn,wherePnandCnarerespectivelythepathandcyclewithnvertices,andΔthemaximumedgedegreeofthegraph.TheexactchromaticnumbersoftheproductgraphsPr1×Pr2×…×PrnandC3k×C2m1×C2m2×…×C2mnarealsopresented.Thusthetltalcoloringconjectureisprovedtobetrueformanyothergraphs.
简介:Muellermatrixelementsarepresentedrepresentingscatterto90°fromanincidentpolarizedlaserbeam.Thecasedsconsideredincludefiveparticlesizes(suchas1.24μm,0.494μm,0.36μm,0.123μm,and0.065μm),twconcentrations(suchas0.0025%and0.005%byvolume),andthreedetectordepths(suchas0,1.5cm,and3cmintothescateringvolume).Ifthemagnitudesoftheelementscanberoundedofftothenearest0.01,aparticlesizedependenceisdescribedbytheresultingaveragematrices,whichisonlytwomatricesford>0.22μmandd<0.22μmwhicharenonsingularandasymmetric,respectively.
简介:Inthispaper,buildingtogrid(B2G)andvehicletogrid(V2G)havebeendefinedwithclearandpracticalunderstanding.Bothofthemarenewgenerationtechnologieswhicharetheessentialpartofsmartcitylivingandcrowdenergyclustering.Firstly,anin-detailedoverviewhasbeenprovidedwithanintroductiontoB2GandV2Gfollowedbyahistoricaloverviewandtheoreticalanalysisinrespecttosmartcityplanning.Next,areviewisconductedoncurrentandprevioussmartlivingresearch,whichdealswithB2GandV2G.EfficientB2GandV2Gimplementationsinpracticalcasesthenhavebeendiscussed.Lastly,bothofthesetechnicalprospectshavebeenanalyzedincrowdenergydiagram.