Author pages are created from data sourced from our academic publisher partnerships and public sources.

- Publications
- Influence

Laplacian energy of a graph

Let G be a graph with n vertices and m edges. Let λ1, λ2, … , λn be the eigenvalues of the adjacency matrix of G, and let μ1, μ2, … , μn be the eigenvalues of the Laplacian matrix of G. An earlier… Expand

On a novel connectivity index

- B. Zhou, N. Trinajstic
- Mathematics
- 6 January 2009

We present a novel connectivity index for (molecular) graphs, called sum-connectivity index and give several basic properties for this index, especially lower and upper bounds in terms of graph… Expand

On general sum-connectivity index

- B. Zhou, N. Trinajstic
- Mathematics
- 2010

We report some properties especially lower and upper bounds in terms of other graph invariants for the general sum-connectivity index which generalizes both the ordinary sum-connectivity index and… Expand

A connection between ordinary and Laplacian spectra of bipartite graphs

Let G be a bipartite graph with n vertices and m edges. Let S(G) be the subdivision of G, obtained by inserting a new vertex on each edge of G. The ordinary characteristic polynomial of S(G) and the… Expand

On sum of powers of the Laplacian eigenvalues of graphs

- B. Zhou
- Mathematics
- 16 October 2008

Abstract For a graph G and a real α ≠ 0 , we study the graph invariant s α ( G ) – the sum of the α th power of the non-zero Laplacian eigenvalues of G . The cases α = 2 , 1 2 and - 1 have appeared… Expand

On Atom-Bond Connectivity Index

- B. Zhou, Rundan Xing
- Chemistry
- 1 February 2011

The atom-bond connectivity (ABC) index, introduced by Estrada et al. in 1998, displays an excellent correlation with the formation heat of alkanes. We give upper bounds for this graph invariant using… Expand

On the revised Szeged index

- Rundan Xing, B. Zhou
- Mathematics, Computer Science
- Discret. Appl. Math.
- 2011

We give bounds for the revised Szeged index, and determine the n-vertex unicyclic graphs with the smallest, the second-smallest and the third-smallest revised Szeged indices for n>=5, and the… Expand

On reformulated Zagreb indices

The first and second reformulated Zagreb indices are defined respectively in terms of edge-degrees as EM"1(G)=@?"e"@?"Edeg(e)^2 and EM"2(G)=@?"e"~"fdeg(e)deg(f), where deg(e) denotes the degree of… Expand

ON ECCENTRIC CONNECTIVITY INDEX

The eccentric connectivity index, proposed by Sharma, Goswami and Madan, has been employed successfully for the development of numerous mathematical models for the prediction of biological activities… Expand

Spectra of graph operations based on R-graph

For a regular graph and an arbitrary graph , we determine the adjacency (respectively, Laplacian and signless Laplacian) spectra of four types of graph operations on and involving the R-graph of ,… Expand