%0 Journal Article %1 QUA:QUA22725 %A Palacios, José Luis %A Renom, José Miguel %D 2011 %I Wiley Subscription Services, Inc., A Wiley Company %J International Journal of Quantum Chemistry %K chemistry eigenvalues graph.theory kirchhoff.index no.pdf %N 14 %P 3453--3455 %R 10.1002/qua.22725 %T Another look at the degree-Kirchhoff index %U http://dx.doi.org/10.1002/qua.22725 %V 111 %X Let G be an arbitrary graph with vertex set 1,2, …,N and degrees di ≤ D, for fixed D and all i, then for the index R′(G) = ∑i < jdidjRij we show that $$R' (G) 2Ełeft( N - 2 + 1 D + 1 \right).$$ We also show that the minimum of R′(G) over all N-vertex graphs is attained for the star graph and its value is 2N2 − 5N + 3. © 2010 Wiley Periodicals, Inc. Int J Quantum Chem, 2011

@article{QUA:QUA22725, abstract = {Let G be an arbitrary graph with vertex set {1,2, …,N} and degrees di ≤ D, for fixed D and all i, then for the index R′(G) = ∑i < jdidjRij we show that $$R' (G) \ge 2\vert E\vert \left( {N - 2 + {1 \over {D + 1}}} \right).$$ We also show that the minimum of R′(G) over all N-vertex graphs is attained for the star graph and its value is 2N2 − 5N + 3. © 2010 Wiley Periodicals, Inc. Int J Quantum Chem, 2011}, added-at = {2017-02-20T12:47:58.000+0100}, author = {Palacios, José Luis and Renom, José Miguel}, biburl = {https://www.bibsonomy.org/bibtex/2af2b824b76f5518a19b4af06dc2e2730/ytyoun}, description = {Another look at the degree-Kirchhoff index - Palacios - 2010 - International Journal of Quantum Chemistry - Wiley Online Library}, doi = {10.1002/qua.22725}, interhash = {5b2eea38a0cc2d4b3899f758f579a773}, intrahash = {af2b824b76f5518a19b4af06dc2e2730}, issn = {1097-461X}, journal = {International Journal of Quantum Chemistry}, keywords = {chemistry eigenvalues graph.theory kirchhoff.index no.pdf}, number = 14, pages = {3453--3455}, publisher = {Wiley Subscription Services, Inc., A Wiley Company}, timestamp = {2017-02-20T12:47:58.000+0100}, title = {Another look at the degree-{Kirchhoff} index}, url = {http://dx.doi.org/10.1002/qua.22725}, volume = 111, year = 2011 }