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一類圖及其線圖的Wiener指數(shù)

2014-03-13 16:20:25羅宇王力工
關(guān)鍵詞:線圖

羅宇 王力工

關(guān)鍵詞Wiener指數(shù);線圖;圍長

中圖分類號O157.5文獻標(biāo)識碼A文章編號10002537(2014)01008105

參考文獻:

[1]WIENER H. Structural determination of paraffin boiling points[J]. J Am Chem Soc, 1947,69(1):1720.

[2]DEVILLERS J, BALABAN A T. Topological indices and related descriptors in QSAR and QSPR[M]. Amsterdam: Gordon and Breach Science Publishers, 1999.

[3]DOBRYNIN A A, ENTRINGER R, GUTMAN I. Wiener index of trees: theory and applications[J].Acta Appl Math, 2001,66(3):211249.

[4]BERTZ S H, WRIGHT W F. The graph theory approach to synthetic analysis: definition and application of molecular complexity and synthetic complexity[J]. Graph Theory Notes New York, 1998,35:3248.

[5]BUCKLY F. Mean distance of line graphs[J]. Congr Numer, 1981,32(4):153162.

[6]GUTMAN I. Distance of line graphs[J]. Graph Theory Notes New York, 1996,31:4952.

[7]GUTMAN I, PAVLOVIC' L. More on distance of line graphs[J]. Graph Theory Notes New York, 1997,33:1418.

[8]DOBRYNIN A A, GUTMAN I, JOVAEVIC' V. Bicyclic graphs and its line graphs with the same Wiener index[J]. Diskretn Analiz Issled Oper Ser 2, 1997,4(2):39(in Russian).

[9]鄧漢元. 一類化學(xué)圖及其線圖的Wiener指數(shù)[J]. 湖南師范大學(xué)自然科學(xué)學(xué)報, 2009,32(3):2326.

[10]DOBRYNIN A A, MELNIKOV L S. Wiener index for graphs and their line graphs with arbitrary large cyclomatic numbers[J]. Appl Math Lett, 2005,18(3):307312.

[11]DOBRYNIN A A, MELNIKOV L S. Wiener index, line graphs and the cyclomatic number[J].MATCH Commun Math Comput Chem, 2005,53(1):209214.

[12]DOBRYNIN A A, MELNIKOV L S. Some results on the Wiener index of iterated line graphs[J].Electron Notes Discrete Math, 2005, 22:469475.

[13]COHEN N, DIMITROV D, KRAKOVSKI R, et al. On Wiener index of graphs and their line graphs[J].MATCH Commun Math Comput Chem, 2010,64(3):683698.

[14]蘇曉海,王力工. 兩類圖及其線圖的Wiener指數(shù)[J]. 山西大學(xué)學(xué)報:自然科學(xué)版, 2011,34(3):397401.

[15]潘承洞,潘承彪. 初等數(shù)論[M]. 北京:北京大學(xué)出版社, 1994.

(編輯沈小玲)

關(guān)鍵詞Wiener指數(shù);線圖;圍長

中圖分類號O157.5文獻標(biāo)識碼A文章編號10002537(2014)01008105

參考文獻:

[1]WIENER H. Structural determination of paraffin boiling points[J]. J Am Chem Soc, 1947,69(1):1720.

[2]DEVILLERS J, BALABAN A T. Topological indices and related descriptors in QSAR and QSPR[M]. Amsterdam: Gordon and Breach Science Publishers, 1999.

[3]DOBRYNIN A A, ENTRINGER R, GUTMAN I. Wiener index of trees: theory and applications[J].Acta Appl Math, 2001,66(3):211249.

[4]BERTZ S H, WRIGHT W F. The graph theory approach to synthetic analysis: definition and application of molecular complexity and synthetic complexity[J]. Graph Theory Notes New York, 1998,35:3248.

[5]BUCKLY F. Mean distance of line graphs[J]. Congr Numer, 1981,32(4):153162.

[6]GUTMAN I. Distance of line graphs[J]. Graph Theory Notes New York, 1996,31:4952.

[7]GUTMAN I, PAVLOVIC' L. More on distance of line graphs[J]. Graph Theory Notes New York, 1997,33:1418.

[8]DOBRYNIN A A, GUTMAN I, JOVAEVIC' V. Bicyclic graphs and its line graphs with the same Wiener index[J]. Diskretn Analiz Issled Oper Ser 2, 1997,4(2):39(in Russian).

[9]鄧漢元. 一類化學(xué)圖及其線圖的Wiener指數(shù)[J]. 湖南師范大學(xué)自然科學(xué)學(xué)報, 2009,32(3):2326.

[10]DOBRYNIN A A, MELNIKOV L S. Wiener index for graphs and their line graphs with arbitrary large cyclomatic numbers[J]. Appl Math Lett, 2005,18(3):307312.

[11]DOBRYNIN A A, MELNIKOV L S. Wiener index, line graphs and the cyclomatic number[J].MATCH Commun Math Comput Chem, 2005,53(1):209214.

[12]DOBRYNIN A A, MELNIKOV L S. Some results on the Wiener index of iterated line graphs[J].Electron Notes Discrete Math, 2005, 22:469475.

[13]COHEN N, DIMITROV D, KRAKOVSKI R, et al. On Wiener index of graphs and their line graphs[J].MATCH Commun Math Comput Chem, 2010,64(3):683698.

[14]蘇曉海,王力工. 兩類圖及其線圖的Wiener指數(shù)[J]. 山西大學(xué)學(xué)報:自然科學(xué)版, 2011,34(3):397401.

[15]潘承洞,潘承彪. 初等數(shù)論[M]. 北京:北京大學(xué)出版社, 1994.

(編輯沈小玲)

關(guān)鍵詞Wiener指數(shù);線圖;圍長

中圖分類號O157.5文獻標(biāo)識碼A文章編號10002537(2014)01008105

參考文獻:

[1]WIENER H. Structural determination of paraffin boiling points[J]. J Am Chem Soc, 1947,69(1):1720.

[2]DEVILLERS J, BALABAN A T. Topological indices and related descriptors in QSAR and QSPR[M]. Amsterdam: Gordon and Breach Science Publishers, 1999.

[3]DOBRYNIN A A, ENTRINGER R, GUTMAN I. Wiener index of trees: theory and applications[J].Acta Appl Math, 2001,66(3):211249.

[4]BERTZ S H, WRIGHT W F. The graph theory approach to synthetic analysis: definition and application of molecular complexity and synthetic complexity[J]. Graph Theory Notes New York, 1998,35:3248.

[5]BUCKLY F. Mean distance of line graphs[J]. Congr Numer, 1981,32(4):153162.

[6]GUTMAN I. Distance of line graphs[J]. Graph Theory Notes New York, 1996,31:4952.

[7]GUTMAN I, PAVLOVIC' L. More on distance of line graphs[J]. Graph Theory Notes New York, 1997,33:1418.

[8]DOBRYNIN A A, GUTMAN I, JOVAEVIC' V. Bicyclic graphs and its line graphs with the same Wiener index[J]. Diskretn Analiz Issled Oper Ser 2, 1997,4(2):39(in Russian).

[9]鄧漢元. 一類化學(xué)圖及其線圖的Wiener指數(shù)[J]. 湖南師范大學(xué)自然科學(xué)學(xué)報, 2009,32(3):2326.

[10]DOBRYNIN A A, MELNIKOV L S. Wiener index for graphs and their line graphs with arbitrary large cyclomatic numbers[J]. Appl Math Lett, 2005,18(3):307312.

[11]DOBRYNIN A A, MELNIKOV L S. Wiener index, line graphs and the cyclomatic number[J].MATCH Commun Math Comput Chem, 2005,53(1):209214.

[12]DOBRYNIN A A, MELNIKOV L S. Some results on the Wiener index of iterated line graphs[J].Electron Notes Discrete Math, 2005, 22:469475.

[13]COHEN N, DIMITROV D, KRAKOVSKI R, et al. On Wiener index of graphs and their line graphs[J].MATCH Commun Math Comput Chem, 2010,64(3):683698.

[14]蘇曉海,王力工. 兩類圖及其線圖的Wiener指數(shù)[J]. 山西大學(xué)學(xué)報:自然科學(xué)版, 2011,34(3):397401.

[15]潘承洞,潘承彪. 初等數(shù)論[M]. 北京:北京大學(xué)出版社, 1994.

(編輯沈小玲)

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