BibTex RIS Kaynak Göster

On Sum of Powers of the Signless Laplacian Eigenvalues of Graphs  ABSTRACT  |  FULL TEXT 

Yıl 2012, Cilt: 41 Sayı: 4, 527 - 536, 01.04.2012

Kaynakça

  • Akbari, S., Ghorbani, E., Koolen, J. H. and Oboudi, M. R. On sum of powers of the Lapla- cian and signless Laplacian eigenvalues of graphs, Electron. J. Combin. 17, R115, 2010.
  • Anderson, W. N. and Morley, T. D. Eigenvalues of the Laplacian of a graph, Linear Multi- linear Algebra 18, 141–145, 1985.
  • Chen, Y. Q. and Wang, L. G. Sharp bounds for the largest eigenvalue of the signless Lapla- cian of a graph, Linear Algebra Appl. 433, 908–913, 2010.
  • Cvetkovi´c, D., Rowlinson, P. and Simi´c, S. K. Signless Laplacians of finite graphs, Linear Algebra Appl. 423, 155–171, 2007.
  • Cvetkovi´c, D., Rowlinson, P. and Simi´c, S. K. Eigenvalue bounds for the signless Laplacian, Publ. Inst. Math. (Beograd), 81 (95), 11–27, 2007.
  • Cvetkovi´c, D. and Simi´c, S. K. Towards a spectral theory of graphs based on the signless Laplacian II, Linear Algebra Appl. 432, 2257–2272, 2010.
  • Gutman, I. The energy of a graph, Ber. Math Statist. Sekt. Forschungsz. Graz. 103, 1–22, Gutman, I. Total π-electron energy of benzenoid hydrocarbons, Topics Curr. Chem. 162, –63, 1992.
  • Gutman, I. The energy of a graph: odd and new results, in : A. Betten, A. Kohnert, R. Laue, A. Wassermann (Eds.) (Algebraic Combinatorics and Applications, Springer-Verlag, Berlin, 2001), 196–211.
  • Gutman, I., Kiani, D., Mirzakhah, M. and Zhou, B. On incidence energy of a graph, Linear Algebra Appl. 431, 1223–1233, 2009.
  • Gutman, I. and Mohar, B. The quasi-Wiener and the Kirchhoff indices coincide, J. Chem. Inf. Comput. Sci. 36, 982–985, 1996.
  • Gutman, I. and Trinajsti´c, N. Graph theory and molecular orbitals, Total π-electron energy of alternant hydrocarbons, Chem. Phys. Lett. 17, 535–538, 1972.
  • Gutman, I. and Zhou, B. Laplacian energy of a graph, Linear Algebra Appl. 414, 29–37, Jooyandeh, M. R., Kiani, D. and Mirzakhah, M. Incidence energy of a graph, MATCH Commun. Math. Comput. Chem. 62, 561–572, 2009.
  • Li, J. and Pan, Y. A note on the second largest eigenvalue of the Laplacian matrix of a graph, Linear Multilinear Algebra 48, 117–121, 2000.
  • Liu, J. P. and Liu, B. L. A Laplacian-energy-like invariant of a graph, MATCH Commun. Math. Comput. Chem. 59, 355–372, 2008.
  • Liu, M. H. and Liu, B. L. New sharp upper bounds for the first Zagreb index, MATCH Commun. Math. Comput. Chem. 62, 689–698, 2009.
  • Liu, M. H. and Liu, B. L. The signless Laplacian spread, Linear Algebra Appl. 432 (2-3), –514, 2010.
  • Li, X. L. and Zheng, J. A unified approach to the extremal trees for different indices, MATCH Commun. Math. Comput. Chem. 54, 195–208, 2005.
  • Marshall, A. W. and Olkin, I. Inequalities, Theory of Majorization and its Applications (Academic Press, New York, 1979).
  • Merris, R. Laplacian matrices of graphs: a survey, Linear Algebra Appl. 197-198, 143–176, Merris, R. Laplacian graph eigenvectors, Linear Algebra Appl. 278, 221–236, 1998.
  • Pavlovi´c, L. Maximal value of the zeroth-order Randi´c index, Discrete Appl. Math. 127, –626, 2003.
  • Stevanovi´c, D., Ili´c, A., Onisor, C. and Diudea, M. LEL–a newly designed molecular de- scriptor, Acta Chim. Slov. 56, 410–417, 2009.
  • Tian, G. X., Huang, T. Z. and Zhou, B. A note on sum of powers of the Laplacian eigenvalues of bipartite graphs, Linear Algebra Appl. 430, 2503–2510, 2009.
  • Zhou, B. On sum of powers of the Laplacian eigenvalues of graphs, Linear Algebra Appl. , 2239–2246, 2008.
  • Zhou, B. On sum of powers of Laplacian eigenvalues and Laplacian Estrada index of graphs, MATCH Commun. Math. Comput. Chem. 62, 611–619, 2009.

On Sum of Powers of the Signless Laplacian Eigenvalues of Graphs  ABSTRACT  |  FULL TEXT 

Yıl 2012, Cilt: 41 Sayı: 4, 527 - 536, 01.04.2012

Kaynakça

  • Akbari, S., Ghorbani, E., Koolen, J. H. and Oboudi, M. R. On sum of powers of the Lapla- cian and signless Laplacian eigenvalues of graphs, Electron. J. Combin. 17, R115, 2010.
  • Anderson, W. N. and Morley, T. D. Eigenvalues of the Laplacian of a graph, Linear Multi- linear Algebra 18, 141–145, 1985.
  • Chen, Y. Q. and Wang, L. G. Sharp bounds for the largest eigenvalue of the signless Lapla- cian of a graph, Linear Algebra Appl. 433, 908–913, 2010.
  • Cvetkovi´c, D., Rowlinson, P. and Simi´c, S. K. Signless Laplacians of finite graphs, Linear Algebra Appl. 423, 155–171, 2007.
  • Cvetkovi´c, D., Rowlinson, P. and Simi´c, S. K. Eigenvalue bounds for the signless Laplacian, Publ. Inst. Math. (Beograd), 81 (95), 11–27, 2007.
  • Cvetkovi´c, D. and Simi´c, S. K. Towards a spectral theory of graphs based on the signless Laplacian II, Linear Algebra Appl. 432, 2257–2272, 2010.
  • Gutman, I. The energy of a graph, Ber. Math Statist. Sekt. Forschungsz. Graz. 103, 1–22, Gutman, I. Total π-electron energy of benzenoid hydrocarbons, Topics Curr. Chem. 162, –63, 1992.
  • Gutman, I. The energy of a graph: odd and new results, in : A. Betten, A. Kohnert, R. Laue, A. Wassermann (Eds.) (Algebraic Combinatorics and Applications, Springer-Verlag, Berlin, 2001), 196–211.
  • Gutman, I., Kiani, D., Mirzakhah, M. and Zhou, B. On incidence energy of a graph, Linear Algebra Appl. 431, 1223–1233, 2009.
  • Gutman, I. and Mohar, B. The quasi-Wiener and the Kirchhoff indices coincide, J. Chem. Inf. Comput. Sci. 36, 982–985, 1996.
  • Gutman, I. and Trinajsti´c, N. Graph theory and molecular orbitals, Total π-electron energy of alternant hydrocarbons, Chem. Phys. Lett. 17, 535–538, 1972.
  • Gutman, I. and Zhou, B. Laplacian energy of a graph, Linear Algebra Appl. 414, 29–37, Jooyandeh, M. R., Kiani, D. and Mirzakhah, M. Incidence energy of a graph, MATCH Commun. Math. Comput. Chem. 62, 561–572, 2009.
  • Li, J. and Pan, Y. A note on the second largest eigenvalue of the Laplacian matrix of a graph, Linear Multilinear Algebra 48, 117–121, 2000.
  • Liu, J. P. and Liu, B. L. A Laplacian-energy-like invariant of a graph, MATCH Commun. Math. Comput. Chem. 59, 355–372, 2008.
  • Liu, M. H. and Liu, B. L. New sharp upper bounds for the first Zagreb index, MATCH Commun. Math. Comput. Chem. 62, 689–698, 2009.
  • Liu, M. H. and Liu, B. L. The signless Laplacian spread, Linear Algebra Appl. 432 (2-3), –514, 2010.
  • Li, X. L. and Zheng, J. A unified approach to the extremal trees for different indices, MATCH Commun. Math. Comput. Chem. 54, 195–208, 2005.
  • Marshall, A. W. and Olkin, I. Inequalities, Theory of Majorization and its Applications (Academic Press, New York, 1979).
  • Merris, R. Laplacian matrices of graphs: a survey, Linear Algebra Appl. 197-198, 143–176, Merris, R. Laplacian graph eigenvectors, Linear Algebra Appl. 278, 221–236, 1998.
  • Pavlovi´c, L. Maximal value of the zeroth-order Randi´c index, Discrete Appl. Math. 127, –626, 2003.
  • Stevanovi´c, D., Ili´c, A., Onisor, C. and Diudea, M. LEL–a newly designed molecular de- scriptor, Acta Chim. Slov. 56, 410–417, 2009.
  • Tian, G. X., Huang, T. Z. and Zhou, B. A note on sum of powers of the Laplacian eigenvalues of bipartite graphs, Linear Algebra Appl. 430, 2503–2510, 2009.
  • Zhou, B. On sum of powers of the Laplacian eigenvalues of graphs, Linear Algebra Appl. , 2239–2246, 2008.
  • Zhou, B. On sum of powers of Laplacian eigenvalues and Laplacian Estrada index of graphs, MATCH Commun. Math. Comput. Chem. 62, 611–619, 2009.
Toplam 24 adet kaynakça vardır.

Ayrıntılar

Birincil Dil Türkçe
Bölüm Matematik
Yazarlar

Muhuo Liu Bu kişi benim

 bolian Liu Bu kişi benim

Yayımlanma Tarihi 1 Nisan 2012
Yayımlandığı Sayı Yıl 2012 Cilt: 41 Sayı: 4

Kaynak Göster

APA Liu, M., & Liu, . (2012). On Sum of Powers of the Signless Laplacian Eigenvalues of Graphs  ABSTRACT  |  FULL TEXT . Hacettepe Journal of Mathematics and Statistics, 41(4), 527-536.
AMA Liu M, Liu . On Sum of Powers of the Signless Laplacian Eigenvalues of Graphs  ABSTRACT  |  FULL TEXT . Hacettepe Journal of Mathematics and Statistics. Nisan 2012;41(4):527-536.
Chicago Liu, Muhuo, ve  bolian Liu. “On Sum of Powers of the Signless Laplacian Eigenvalues of Graphs  ABSTRACT  |  FULL TEXT ”. Hacettepe Journal of Mathematics and Statistics 41, sy. 4 (Nisan 2012): 527-36.
EndNote Liu M, Liu  (01 Nisan 2012) On Sum of Powers of the Signless Laplacian Eigenvalues of Graphs  ABSTRACT  |  FULL TEXT . Hacettepe Journal of Mathematics and Statistics 41 4 527–536.
IEEE M. Liu ve  . Liu, “On Sum of Powers of the Signless Laplacian Eigenvalues of Graphs  ABSTRACT  |  FULL TEXT ”, Hacettepe Journal of Mathematics and Statistics, c. 41, sy. 4, ss. 527–536, 2012.
ISNAD Liu, Muhuo - Liu, bolian. “On Sum of Powers of the Signless Laplacian Eigenvalues of Graphs  ABSTRACT  |  FULL TEXT ”. Hacettepe Journal of Mathematics and Statistics 41/4 (Nisan 2012), 527-536.
JAMA Liu M, Liu . On Sum of Powers of the Signless Laplacian Eigenvalues of Graphs  ABSTRACT  |  FULL TEXT . Hacettepe Journal of Mathematics and Statistics. 2012;41:527–536.
MLA Liu, Muhuo ve  bolian Liu. “On Sum of Powers of the Signless Laplacian Eigenvalues of Graphs  ABSTRACT  |  FULL TEXT ”. Hacettepe Journal of Mathematics and Statistics, c. 41, sy. 4, 2012, ss. 527-36.
Vancouver Liu M, Liu . On Sum of Powers of the Signless Laplacian Eigenvalues of Graphs  ABSTRACT  |  FULL TEXT . Hacettepe Journal of Mathematics and Statistics. 2012;41(4):527-36.