Next Article in Journal
Numerical Study of Entropy Generation Within Thermoacoustic Heat Exchangers with Plane Fins
Previous Article in Journal
Permutation Entropy for Random Binary Sequences
Article Menu

Export Article

Open AccessArticle
Entropy 2015, 17(12), 8217-8227; doi:10.3390/e17127871

Some New Properties for Degree-Based Graph Entropies

1
School of Economics, Nankai University, No. 94 Weijin Road, Tianjin 300071, China
2
School of Finance, Nankai University, No. 94 Weijin Road, Tianjin 300071, China
3
School of Statistics and Mathematics, Zhongnan University of Economics and Law, No. 182 Nanhu Avenue, Wuhan 430073, China
*
Author to whom correspondence should be addressed.
Academic Editor: J. A. Tenreiro Machado
Received: 21 October 2015 / Revised: 4 December 2015 / Accepted: 10 December 2015 / Published: 16 December 2015
(This article belongs to the Section Complexity)
View Full-Text   |   Download PDF [270 KB, uploaded 16 December 2015]   |  

Abstract

The graph entropies inspired by Shannon’s entropy concept become the information-theoretic quantities for measuring the structural information of graphs and complex networks. In this paper, we continue studying some new properties of the graph entropies based on information functionals involving vertex degrees. We prove the monotonicity of the graph entropies with respect to the power exponent. Considering only the maximum and minimum degrees of the ( n , m ) -graph, we obtain some upper and lower bounds for the degree-based graph entropy. These bounds have different performances to restrict the degree-based graph entropy in different kinds of graphs. Moreover the degree-based graph entropy can be estimated by these bounds. View Full-Text
Keywords: Shannon’s entropy; graph entropy; degree powers; monotonicity; entropy bounds Shannon’s entropy; graph entropy; degree powers; monotonicity; entropy bounds
Figures

Figure 1

This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. (CC BY 4.0).

Scifeed alert for new publications

Never miss any articles matching your research from any publisher
  • Get alerts for new papers matching your research
  • Find out the new papers from selected authors
  • Updated daily for 49'000+ journals and 6000+ publishers
  • Define your Scifeed now

SciFeed Share & Cite This Article

MDPI and ACS Style

Lu, G.; Li, B.; Wang, L. Some New Properties for Degree-Based Graph Entropies. Entropy 2015, 17, 8217-8227.

Show more citation formats Show less citations formats

Related Articles

Article Metrics

Article Access Statistics

1

Comments

[Return to top]
Entropy EISSN 1099-4300 Published by MDPI AG, Basel, Switzerland RSS E-Mail Table of Contents Alert
Back to Top