Upper and lower bounds for the energy of bipartite graphs
By Juan Rada, Antonio Tineo. 2004
72 citations recorded by the source corpus.
Subfields: Discrete Mathematics and Combinatorics, Electrical and Electronic Engineering, Geometry and Topology
View Paper: https://www.semanticscholar.org/paper/cd6c220c1d180e69f5c3cea8e9fc24642f63867d
How researchers see this paper
The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.
In Discrete Mathematics and Combinatorics
- Richard A. Brualdi
- Vladimir Nikiforov
- Bo Zhou
- Ivan Gutman
- Burcu Bozkurt
- Igor E. Shparlinski
- A. Güngör
- L. Lov'asz
In Electrical and Electronic Engineering
In Geometry and Topology
- Richard A. Brualdi
- Vladimir Nikiforov
- Bo Zhou
- Ivan Gutman
- A. Güngör
- A. Cevik
- Igor E. Shparlinski
- Burcu Bozkurt
Citations in the corpus
- The energy of graphs and matrices (2006, unknown): “, [2], [8], [10], [11], [12], [13], and [14]).”
- On the energy of some circulant graphs (2006, background): “4 of [15] generalises a result of [7].”
- ON SPECTRAL MOMENTS AND ENERGY OF GRAPHS (2007, background): “For bipartite graphs it has been reported in [13, 25], whereas for all (both bipartite and non-bipartite) graphs in [16, 41].”
- Energy of a Graph (2006, background): “In [8] and [10], high energy bipartite graphs are investigated with results similar to those for the non-bipartite case.”
- Randic Matrix and Randic Energy (2010, background): “Results analogous to Theorem 5 were earlier reported for the ordinary graph energy [38–41].”
- On sum of powers of the Laplacian eigenvalues of graphs (2008, unknown): “Lemma 8 [14,17].”
- Beyond graph energy: norms of graphs and matrices (2015, background): “33 was proved by Rada and Tineo in [42], and by Zhou in [50], and later rediscovered several times:”
- On graphs whose energy exceeds the number of vertices (2008, methodology): “Our starting point is the inequality E(G) √ (M2)3 M4 (4) that seems to be first given by Rada and Tineo [11], and has recently been utilized also in [13].”