一些納米分子圖的Szeged指標(biāo).pdf

1、新疆師范大學(xué)碩士學(xué)位論文一些納米分子圖的Szeged指標(biāo)姓名：向春麗申請(qǐng)學(xué)位級(jí)別：碩士專業(yè)：基礎(chǔ)數(shù)學(xué)指導(dǎo)教師：王國(guó)平20110610AbstractAC4C8isatrivalentdecationmadebyalternatingsquaresC4octagonsC8.Itcancovereitheracylinderatus.TheC4C8iscalledTUC4C8(R)nanotusifitcancoveratus.TheC4C

2、8iscalledTUC4C8(R)nanotusifitcancoveracylinder.Somegraphtheyresearcherchemisthavedefinedsometopologicalindex.In1947TheWienerindexasthefirsttopologicalindexwasmentionedbychemistHaroldWiener.In1994thetopologicalindexW?(G)w

3、asmentionedbyI.GutmanattheAttilaJozsefUniversityinSzeged。LaterputitnamedSzegedindexabbreviatedasSz(G).IntheacyclicgraphtheValueisequalfSz(G)W(G).ButinthecyclicgraphtherelationshipoftheSz(G)W(G)hasnotgivenconclusion.Theed

4、geSzegedindexSze(G)isanalogoustotheSzegedindex.InthispapertheSzegedindexedgeSzegedindexofsomeC4C8moleculararecomputed.Thepaperconsistsoffivesections.Inthefirstsectionweintroducedtheresearchbackgroundofnanomolecular.Thenw

5、eintroducedsomecrelativedefinitionsnotationsoftopologicalindex.InthesecondsectionweacterizedtherelationsbetweentheSzegedindexthevertexconnectionobtainanotherfmulaofSzegedindex.BesidesInthissectionwecomputedTUC4C8(S)nanot

6、usgetthesameconclusionbythedefinitionofSzegedindex.InthethirdsectionwecomputetheSzegedindexofTUC4C8(R)nanotube.InthefthsectionweintroducedtheedgeSzegedindexgivenafomulaoftheSze(G)computedtheedgeSzegedindexoftheTUC4C8(S)n