四角鏈與六角鏈關(guān)于最大特征根的極值問題.pdf

1、廈門大學(xué)碩士學(xué)位論文四角鏈與六角鏈關(guān)于最大特征根的極值問題姓名：郭漢英申請學(xué)位級別：碩士專業(yè)：應(yīng)用數(shù)學(xué)指導(dǎo)教師：張蓮珠20080501英文摘要llAbstractExtremalpolyominochainsandhexagonalchainsconcerninglargesteigenvaluearestudiedinthisthesisApolyominochainisakindofpolyominosystems，inwhichi

2、nnersurfacesareregu—larsquaresofunitedgelengthandeachvertexbelongstothreesquaresatmostDenotedby甲。thesetofthepolyominochainwith／／squaresandEthelinearchaininY。Ahexagonalchainisakindofhexagonalsystem，inwhichinnersurfacesare

3、regularhex—agonsofunitedgelength，eachvertexbelongstotwohexagonsatmostandeachhexagonisadjacenttotwohexagonsatmostDenotedbyLthesetofthehexagonalchainwith刀hexagons，L。thelinearchainandH。thehelicenechaininLThelargesteigenvalu

4、eofGisjustthelargesteigenvalueofthecharacteristicpolynomialofGanddenotedby五(oTherearefourchaptersRelatedbackgroundsandresultsarediscussedinthefirstchapterSomerelatedtermsandimportantresultsareintroducedinthesecondchapter

5、；AconclusionisverifiedinthethirdchapterthatforVn≥1andVB?！始?。，ifB。≠L：，then而慨)雨化)Thescopeofthechainwithsecondmaximal(orminimum)largesteigenv—alueisgiveninthefourthchapter：denotedby／)∈L一％and最∈C一溉，最，if而Q氣)而(q)forVn≥4，thenD?！蔘

6、。where①。=∞。=肚：露川∈LlQ。=沁。=肚：七州∈LI觚d色∈L一也，見，3i(2f，kt=7onlyhasai(2≤i≤，l—1)，sJk，=or(ory)andVj#i，kj=∥andktisthewaytoattachtheO1協(xié)hexagontoDi=肛2丘，accordingtothreedifferentpositionsofattachingwecallit伐。8andyfromthetopdownKeyword