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Volumn 62, Issue 3, 2009, Pages 473-480

On the minimal energy of trees with a given number of vertices of degree two

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EID: 70049095455     PISSN: 03406253     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article
Times cited : (9)

References (38)
  • 3
    • 0000211438 scopus 로고
    • Acyclic conjugated molecules, trees and their energies
    • I. Gutman, Acyclic conjugated molecules, trees and their energies, J. Math. Chem. 1 (1987) 123-143.
    • (1987) J. Math. Chem. , vol.1 , pp. 123-143
    • Gutman, I.1
  • 4
    • 0002030267 scopus 로고
    • Acyclic systems with extremal Hückel π-electron energy
    • I. Gutman, Acyclic systems with extremal Hückel π-electron energy, Theor. Chim. Acta 45 (1977) 79-87.
    • (1977) Theor. Chim. Acta , vol.45 , pp. 79-87
    • Gutman, I.1
  • 6
    • 33644852197 scopus 로고    scopus 로고
    • Note on the Coulson integral formula
    • I. Gutman, M. Mateljević, Note on the Coulson integral formula, J. Math. Chem. 39 (2006) 259-266.
    • (2006) J. Math. Chem. , vol.39 , pp. 259-266
    • Gutman, I.1    Mateljević, M.2
  • 7
    • 39149114107 scopus 로고    scopus 로고
    • Note on the Coulson and Coulson-Jacobs integral formulas
    • M. Mateljević, I. Gutman, Note on the Coulson and Coulson-Jacobs integral formulas, MATCH Commun. Math. Comput. Chem. 59 (2008) 257-268.
    • (2008) MATCH Commun. Math. Comput. Chem. , vol.59 , pp. 257-268
    • Mateljević, M.1    Gutman, I.2
  • 8
    • 0002768528 scopus 로고    scopus 로고
    • Bipartite unicyclic graphs with greatest energy
    • I. Gutman, Y. Hou, Bipartite unicyclic graphs with greatest energy, MATCH Commun. Math. Comput. Chem. 43 (2001) 17-28.
    • (2001) MATCH Commun. Math. Comput. Chem. , vol.43 , pp. 17-28
    • Gutman, I.1    Hou, Y.2
  • 9
    • 84867932280 scopus 로고    scopus 로고
    • On acyclic systems with minimal Hosoya index
    • Y. Hou, On acyclic systems with minimal Hosoya index, Discrete Appl. Math. 119 (2002) 251-257.
    • (2002) Discrete Appl. Math. , vol.119 , pp. 251-257
    • Hou, Y.1
  • 10
    • 0035536421 scopus 로고    scopus 로고
    • Unicyclic graphs with minimal energy
    • Y. Hou, Unicyclic graphs with minimal energy, J. Math. Chem. 29 (2001) 163-168.
    • (2001) J. Math. Chem. , vol.29 , pp. 163-168
    • Hou, Y.1
  • 11
    • 26444469028 scopus 로고    scopus 로고
    • Bicyclic graphs with minimal energy
    • Y. Hou, Bicyclic graphs with minimal energy, Linear Multilinear Algebra 49 (2002) 347-354.
    • (2002) Linear Multilinear Algebra , vol.49 , pp. 347-354
    • Hou, Y.1
  • 12
    • 84969223228 scopus 로고    scopus 로고
    • Unicyclic graphs with maximal energy
    • Y. Hou, I. Gutman, C. W. Wou, Unicyclic graphs with maximal energy, Linear Algebra Appl. 356 (2002) 27-36.
    • (2002) Linear Algebra Appl. , vol.356 , pp. 27-36
    • Hou, Y.1    Gutman, I.2    Wou, C.W.3
  • 14
    • 0033211978 scopus 로고    scopus 로고
    • On minimal energy ordering of acyclic conjugated molecules
    • H. Li, On minimal energy ordering of acyclic conjugated molecules, J. Math. Chem. 25 (1999) 145-169.
    • (1999) J. Math. Chem. , vol.25 , pp. 145-169
    • Li, H.1
  • 15
    • 29344441292 scopus 로고    scopus 로고
    • Minimal energy of bipartite unicyclic graphs of a given bipartition
    • F. Li, B. Zhou, Minimal energy of bipartite unicyclic graphs of a given bipartition, MATCH Commun. Math. Comput. Chem. 54 (2005) 379-388.
    • (2005) MATCH Commun. Math. Comput. Chem. , vol.54 , pp. 379-388
    • Li, F.1    Zhou, B.2
  • 16
    • 29344440529 scopus 로고    scopus 로고
    • On the extremal energies of trees with a given maximum degree
    • W. Lin, X. Guo, H. Li, On the extremal energies of trees with a given maximum degree, MATCH Commun. Math. Comput. Chem. 54 (2005) 363-378.
    • (2005) MATCH Commun. Math. Comput. Chem. , vol.54 , pp. 363-378
    • Lin, W.1    Guo, X.2    Li, H.3
  • 17
    • 0142229617 scopus 로고    scopus 로고
    • Polygonal chains with minimal energy
    • J. Rada, A. Tineo, Polygonal chains with minimal energy, Linear Algebra Appl. 372 (2003) 333-344.
    • (2003) Linear Algebra Appl. , vol.372 , pp. 333-344
    • Rada, J.1    Tineo, A.2
  • 18
    • 33644870192 scopus 로고    scopus 로고
    • Unicyclic Hückel molecular graphs with minimal energy
    • W.-H. Wang , A. Chang , L. Z. Zhang, D. Q. Lu , Unicyclic Hückel molecular graphs with minimal energy, J. Math. Chem. 39 (2006) 231-241.
    • (2006) J. Math. Chem. , vol.39 , pp. 231-241
    • Wang, W.-H.1    Chang, A.2    Zhang, L.Z.3    Lu, D.Q.4
  • 19
    • 20444486195 scopus 로고    scopus 로고
    • On the minimal energy of trees with a given diameter
    • W. Yan , L. Ye , On the minimal energy of trees with a given diameter, Appl. Math. Lett. 18 (2005) 1046-1052.
    • (2005) Appl. Math. Lett. , vol.18 , pp. 1046-1052
    • Yan, W.1    Ye, L.2
  • 20
    • 27544454176 scopus 로고    scopus 로고
    • On the maximal energy and the Hosoya index of a type of trees with many pendent vertices
    • W. Yan , L. Ye, On the maximal energy and the Hosoya index of a type of trees with many pendent vertices, MATCH Commun. Math. Comput. Chem. 53 (2005) 449-459.
    • (2005) MATCH Commun. Math. Comput. Chem. , vol.53 , pp. 449-459
    • Yan, W.1    Ye, L.2
  • 21
    • 7644228086 scopus 로고    scopus 로고
    • Ordering of trees with a given bipartition by their energies and Hosoya indices
    • L. Ye , R. Chen, Ordering of trees with a given bipartition by their energies and Hosoya indices, MATCH Commun. Math. Comput. Chem. 52 (2004) 193-208.
    • (2004) MATCH Commun. Math. Comput. Chem. , vol.52 , pp. 193-208
    • Ye, L.1    Chen, R.2
  • 22
    • 33847638093 scopus 로고    scopus 로고
    • On the minimal energy of trees with a given number of pendent vertices
    • L. Ye , Yuan X., On the minimal energy of trees with a given number of pendent vertices. MATCH Commun. Math. Comput. Chem. 57 (2007) 193-201.
    • (2007) MATCH Commun. Math. Comput. Chem. , vol.57 , pp. 193-201
    • Ye, L.1    Yuan, X.2
  • 23
    • 0002035485 scopus 로고    scopus 로고
    • On acyclic conjugated molecules with minimal energies
    • F. Zhang , H. Li, On acyclic conjugated molecules with minimal energies, Discrete Appl. Math. 92 (1999) 71-84.
    • (1999) Discrete Appl. Math. , vol.92 , pp. 71-84
    • Zhang, F.1    Li, H.2
  • 24
    • 0042319134 scopus 로고    scopus 로고
    • Hexagonal chains with minimal total π-energy
    • F. Zhang , Z. Li, Li. Wang, Hexagonal chains with minimal total π-energy, Chem. Phys. Lett. 337 (2001) 125-130.
    • (2001) Chem. Phys. Lett. , vol.337 , pp. 125-130
    • Zhang, F.1    Li, Z.2    Wang, Li.3
  • 25
    • 0041818290 scopus 로고    scopus 로고
    • Hexagonal chains with maximal total π-energy
    • F. Zhang , Z. Li, L. Wang, Hexagonal chains with maximal total π-energy, Chem. Phys. Lett. 337 (2001) 131-137.
    • (2001) Chem. Phys. Lett. , vol.337 , pp. 131-137
    • Zhang, F.1    Li, Z.2    Wang, L.3
  • 26
    • 39149110935 scopus 로고    scopus 로고
    • Minimum energy of bicyclic graphs of a given diameter
    • Y. Yang , B. Zhou, Minimum energy of bicyclic graphs of a given diameter. MATCH Commun. Math. Comput. Chem. 59 (2008) 321-342.
    • (2008) MATCH Commun. Math. Comput. Chem. , vol.59 , pp. 321-342
    • Yang, Y.1    Zhou, B.2
  • 27
    • 33748137733 scopus 로고    scopus 로고
    • Minimum energy on trees with k pendent vertices
    • A. Yu , X. Lv , Minimum energy on trees with k pendent vertices, Linear Algebra Appl. 418 (2006) 625-633.
    • (2006) Linear Algebra Appl. , vol.418 , pp. 625-633
    • Yu, A.1    Lv, X.2
  • 28
    • 33746909472 scopus 로고    scopus 로고
    • On minimal energies of trees of a prescribed diameter
    • B. Zhou , F. Li, On minimal energies of trees of a prescribed diameter. J. Math. Chem. 39 (2006) 465-473.
    • (2006) J. Math. Chem. , vol.39 , pp. 465-473
    • Zhou, B.1    Li, F.2
  • 29
    • 0001806442 scopus 로고
    • Permanent of the Laplacian matrix of trees and bipartite graphs
    • E. A. Brualdi, J. L. Goldwasser, Permanent of the Laplacian matrix of trees and bipartite graphs, Discrete Math. 48 (1984) 1-12.
    • (1984) Discrete Math. , vol.48 , pp. 1-12
    • Brualdi, E.A.1    Goldwasser, J.L.2
  • 31
    • 38049178513 scopus 로고    scopus 로고
    • Hypoenergetic molecular graphs
    • I. Gutman, S. Radenković, Hypoenergetic molecular graphs, Indian J. Chem. 46A (2007) 1733-1736.
    • (2007) Indian J. Chem. , vol.46 A , pp. 1733-1736
    • Gutman, I.1    Radenković, S.2
  • 34
    • 41549152043 scopus 로고    scopus 로고
    • 4-free graphs of bounded degree
    • 4-free graphs of bounded degree, Lin. Algebra Appl. 428 (2008) 2569-2573.
    • (2008) Lin. Algebra Appl. , vol.428 , pp. 2569-2573
    • Nikiforov, V.1
  • 37
    • 50649088218 scopus 로고    scopus 로고
    • On the minimal energy ordering of trees with perfect matchings
    • J. M. Guo, On the minimal energy ordering of trees with perfect matchings, Discr. Appl. Math. 156 (2008) 2598-2605.
    • (2008) Discr. Appl. Math. , vol.156 , pp. 2598-2605
    • Guo, J.M.1
  • 38
    • 84889768519 scopus 로고    scopus 로고
    • Graph energy
    • M. Dehmer, F. Emmert-Streib (Eds.), From Biology to Linguistics, Wiley-VCH, Weinheim
    • I. Gutman, X. Li, J. Zhang, Graph energy, in: M. Dehmer, F. Emmert-Streib (Eds.), Analysis of Complex Networks. From Biology to Linguistics, Wiley-VCH, Weinheim, 2009, 145-174.
    • (2009) Analysis of Complex Networks , pp. 145-174
    • Gutman, I.1    Li, X.2    Zhang, J.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.