Network Properties Revealed through Matrix Functions

By Ernesto Estrada, Desmond John Higham. SIAM Review, 2010

331 citations recorded by the source corpus.

Subfields: Geometry and Topology, Statistical and Nonlinear Physics

View Paper: https://www.semanticscholar.org/paper/d76b8ff6c94a03aa34dba2deccd5054100800167

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Geometry and Topology

1. David F. Gleich
2. Ernesto Estrada

In Statistical and Nonlinear Physics

1. David F. Gleich
2. Ernesto Estrada
3. Michele Benzi
4. Naomichi Hatano
5. Nicholas John Higham

Citations in the corpus

• The ABC Matrix (2016, methodology): “In a subsequent critical evaluation of this descriptive capacity of the ABC index for the heat of formation of alkanes Gutman et al. (2012b) con rmed that it reproduces the heat of formation with an accuracy comparable to that of high-level ab initio and DFT (MP2, B3LYP) quantum chemical calculation”
• PageRank beyond the Web (2014, background): “…arises from the matrix exponential, or heat kernel: Such functions arose in a wide variety of domains that would be tangential to review here [Estrada, 2000; Miller et al., 2001; Kondor and Lafferty, 2002; Farahat et al., 2006; Chung, 2007; Kunegis and Lommatzsch, 2009; Estrada and Higham, 2010].”
• The Physics of Communicability in Complex Networks (2011, unknown): “(6) (Estrada and Higham, 2010).”