On distance matrices and Laplacians
By Ravindra B. Bapat, S. Kirkland, M. Neumann. 2005
143 citations recorded by the source corpus.
Subfields: Computational Theory and Mathematics, Geometry and Topology
View Paper: https://www.semanticscholar.org/paper/75ef38ace90dbf9fde2c89d30a8a0b6b2bde75ac
How researchers see this paper
The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.
In Computational Theory and Mathematics
- Aleksandar Ilić
- Bo Zhou
- Johannes Berg
- R. Balaji
- Ravindra B. Bapat
- Riccardo Zecchina
- H. C. Nguyen
- Nenad Trinajstic
In Geometry and Topology
- Aleksandar Ilić
- Bo Zhou
- Nenad Trinajstic
- Ivan Gutman
- Vladimir Nikiforov
- Bo Ning
- Zhibin Du
- Boris Furtula
Citations in the corpus
- A q-analogue of the distance matrix of a tree (2006, unknown): “Mathematics Subject Classification: Primary: 05C50 Secondary: 15A15.”
- On Euclidean distance matrices (2007, background): “If L is the Laplacian matrix of an arbitrary connected graph, then it was shown in [1] that (D − L) is a nonnegative matrix.”
- Inverse statistical problems: from the inverse Ising problem to data science (2017, background): “In graph theory, this formula can be related to the expression for the distance in a tree whose links carry weights specified by pair correlations between spin pairs [15].”
- On Distance Spectral Radius and Distance Energy of Graphs (2011, background): “Recall that trees [24], connected unicyclic graphs [25], and Kn have exactly one positive D-eigenvalue.”
- Distance spectral radius of trees with fixed maximum degree (2010, unknown): “Let T be a tree with n > 2 vertices, and let Λ1 ≥ Λ2 ≥ · · · ≥ Λn be the eigenvalues of D = D(T ) arranged in a non-increasing order.”