%0 Journal Article %1 grone91 %A Grone, Robert %D 1991 %J Linear Algebra and its Applications %K eigenvalues laplacian matrix spectrum %P 167--178 %R 10.1016/0024-3795(91)90167-U %T On the geometry and Laplacian of a graph %V 150 %X Let G be a simple graph on n vertices, and let L be the Laplacian matrix of G. We point out some connections between the geometric properties of G and the spectrum of L. The multiplicities and eigenspaces as well as the eigenvalues of L are of geometric interest. Some historical information and relations of L to other matrices associated with G are also described.

@article{grone91, abstract = {Let G be a simple graph on n vertices, and let L be the Laplacian matrix of G. We point out some connections between the geometric properties of G and the spectrum of L. The multiplicities and eigenspaces as well as the eigenvalues of L are of geometric interest. Some historical information and relations of L to other matrices associated with G are also described.}, added-at = {2016-05-06T14:10:52.000+0200}, author = {Grone, Robert}, biburl = {https://www.bibsonomy.org/bibtex/2ad381fc9441c5de07042bdc4ee2442e1/ytyoun}, doi = {10.1016/0024-3795(91)90167-U}, interhash = {7d08aaf67b914d431ccdb66435c77080}, intrahash = {ad381fc9441c5de07042bdc4ee2442e1}, issn = {0024-3795}, journal = {Linear Algebra and its Applications}, keywords = {eigenvalues laplacian matrix spectrum}, pages = {167--178}, timestamp = {2016-05-06T14:10:52.000+0200}, title = {On the geometry and {Laplacian} of a graph}, volume = 150, year = 1991 }