%0 Journal Article %1 QUA:QUA21915 %A Zhou, Bo %A Trinajstić, Nenad %D 2009 %I Wiley Subscription Services, Inc., A Wiley Company %J International Journal of Quantum Chemistry %K chemistry effective.resistance eigenvalues graph.theory kirchhoff.index matching matrix no.pdf %N 13 %P 2978--2981 %R 10.1002/qua.21915 %T The Kirchhoff index and the matching number %U http://dx.doi.org/10.1002/qua.21915 %V 109 %X The Kirchhoff index of a connected (molecular) graph is the sum of the resistance-distances between all unordered pairs of vertices and may also be expressed by its Laplacian eigenvalues. We determine the minimum Kirchhoff index of connected (molecular) graphs in terms of the number of vertices and matching number and characterize the unique extremal graph. The results on the Kirchhoff index are compared with the corresponding results on the Wiener index. © 2009 Wiley Periodicals, Inc. Int J Quantum Chem, 2009

@article{QUA:QUA21915, abstract = {The Kirchhoff index of a connected (molecular) graph is the sum of the resistance-distances between all unordered pairs of vertices and may also be expressed by its Laplacian eigenvalues. We determine the minimum Kirchhoff index of connected (molecular) graphs in terms of the number of vertices and matching number and characterize the unique extremal graph. The results on the Kirchhoff index are compared with the corresponding results on the Wiener index. © 2009 Wiley Periodicals, Inc. Int J Quantum Chem, 2009}, added-at = {2017-02-15T11:27:59.000+0100}, author = {Zhou, Bo and Trinajsti\'{c}, Nenad}, biburl = {https://www.bibsonomy.org/bibtex/2ea42f5fd9aaf6f290c24e9545bd5bc0e/ytyoun}, description = {The Kirchhoff index and the matching number - Zhou - 2008 - International Journal of Quantum Chemistry - Wiley Online Library}, doi = {10.1002/qua.21915}, interhash = {cde4cac332477a43c53e2f86202d714b}, intrahash = {ea42f5fd9aaf6f290c24e9545bd5bc0e}, issn = {1097-461X}, journal = {International Journal of Quantum Chemistry}, keywords = {chemistry effective.resistance eigenvalues graph.theory kirchhoff.index matching matrix no.pdf}, number = 13, pages = {2978--2981}, publisher = {Wiley Subscription Services, Inc., A Wiley Company}, timestamp = {2017-02-15T11:46:47.000+0100}, title = {The Kirchhoff index and the matching number}, url = {http://dx.doi.org/10.1002/qua.21915}, volume = 109, year = 2009 }