简介:设G(V,E)是简单连通图,T(G)为图G的所有顶点和边构成的集合,并设C是k-色集(k是正整数),若T(G)到C的映射f满足:对任意uv∈E(G),有f(u)≠f(v),f(u)≠f(uv),f(v)≠f(uv),并且C(u)≠C(v),其中C(u)={f(u)}∪{f(uv)|uv∈E(G)}.那么称f为图G的邻点可区别E-全染色(简记为k-AVDETC),并称χ_(at)~e(G)=min{k|图G有k-邻点可区别E-全染色}为G的邻点可区别E-全色数.图G的中间图M(G)就是在G的每一个边上插入一个新的顶点,再把G上相邻边上的新的顶点相联得到的.探讨了路、圈、扇、星及轮的中间图的邻点可区别E-全染色,并给出了这些中间图的邻点可区别E-全色数.
简介:Monoammoniumphosphate(1molL^-1),monopotassiumphosphate(1molL^-1)andaluminumchloride(5×10^-3molL^-1)wereusedtoinvestigatetheinfluenceofpHontheformationofNH4-taranakiteandK-taranakiteinsystemswithahighNH4H2PO4orKH2PO4concentration.TheexperimentaldataindicatedthatthereactionproductsofaluminumwithNH4H2PO4orKH2PO4changedwiththepHinthesystems.InapHrangeof2.5to10.0,asthepHincreased,theproductsineitherammoniumorpotassiumsystemfollowedthesequence:taranakite,amorphous(NH4,K)2AIH(PO4)2.4H2O,andthencrystalline(NH4,K)AlPO4OH.2H2O.However,thepHrangesoftheformationoftheseproductsinammoniumsystemweredifferentfrompotassiumsystem.NH4-taranakiteformedfrompH2.75topH5.75,whereasK-taranakiteformedinthepHrangeof3.00to5.0,Fromthetheoreticalcalcuationbyacomputerprogram(GEOCHEMversion2.0),NH4-taranakteandK-taranakitecouldformatthepHfrom1.50to8.30andfrom1.25to8.45,respectively.ThesepHrangesweremuchwiderthantheexperimentalresults.Thedifferencebetweentheexperimentaldataandtheoreticaldatawasattributedtothelackofkineticdataand/ortheincompletenessandinaccuracyofthethermodynamicdatainthedatabaseoftheprogram.ThepHrangesoftheformationofthetaranakitesindicatedthatthetaranakitescouldexistintheimmediatevicinityofphosphateferilizerzoneasreactionproductsofphosphatefertilizerswithsoils,especiallyacideicsoils,resultinginthefixationofnotonlyphosphatebutalsonitrogenand/orpotassiuminsoils.