On Edge-Balance Index Sets of a Nested Graph with Infinite Paths and Power Circles

Hong Juan Tian; Yu Ge Zheng

doi:10.4028/www.scientific.net/AMM.340.561

Paper Titles

Research on a New Type of Integral Sum Graph with the Sequence Label Method
p.542

Study of Applying Dynamic Decision Process to Evaluation of Air Safety
p.546

Timing Acquisition Based on Cooperation Verification of Distributed Receive Antennas in Linear Cell
p.551

Design of DisplayPort Based High-Definition Video Monitor System
p.557

On Edge-Balance Index Sets of a Nested Graph with Infinite Paths and Power Circles
p.561

Measurement the Transmission Characteristics of the Power Line Communication Channel Based on Periodic PN Sequence
p.567

A Novel Fault Line Selection Method of Distribution Network Based on Wavelet Packet Energy
p.572

Optimized Vehicle Scheduling Algorithm of Distribution Center
p.581

Community Automatic Irrigation Control System Based on Zigbee
p.587

HomeApplied Mechanics and MaterialsApplied Mechanics and Materials Vol. 340On Edge-Balance Index Sets of a Nested Graph with...

On Edge-Balance Index Sets of a Nested Graph with Infinite Paths and Power Circles

Abstract:

We generalize the concept of edge-balanced labeling to the concept of edge-balance index set of graphs. In this article, we define all class of the nested graph with infinite for the integer and investigate the edge-balance index set of a class graph. In particular, we completely determine the edge-balance index sets of the class graph for the integer and solve formula proof and graphic tectonic methods.

You might also be interested in these eBooks

Green Manufacturing, Mechanical and Automation Engineering

View Preview

Info:

Periodical:

Applied Mechanics and Materials (Volume 340)

Pages:

561-566

DOI:

https://doi.org/10.4028/www.scientific.net/AMM.340.561

Citation:

Cite this paper

Online since:

July 2013

Authors:

Hong Juan Tian, Yu Ge Zheng

Keywords:

Edge-Balance Index Set, Edge-Friendly Labeling, Nested Graph

Export:

RIS, BibTeX

Price:

Permissions CCC:

Request Permissions

Permissions PLS:

Request Permissions

Сopyright:

Citation:

References

[1] Y. Zheng, J. Lu (2009) Sin-Ming and Wang Ying, 2009, On the perfect index sets of the chain-sum graphs of the first kind of K4-e, 2009 2nd International Conference on Intelligent Computing Technology and Autination, ICICTA 586-589.

DOI: 10.1109/icicta.2009.856

Google Scholar

[2] Y. Zheng and Y. Wang (2012) On the Edge-balance Index Sets of Cn x P2, 2010 International Conference on Networking and Digital Society 360-363.

Google Scholar

[3] Y. Zheng and H. Tian (2012) On the Edge-balance Index Sets of the power circle nested graphs, ASL l7: 534-536.

Google Scholar

[4] Alexander Nien-Tsu Lee, Sin-Min Lee and Ho Kuen Ng (2008) On the balance index set of graph, JCMCC 66: 133-138.

Google Scholar

[5] S. Lee (1995) On Edge-Balanced Graphs Graph Theory, Combinatorial and Algorit-hms 1: 711-722.

Google Scholar

[6] S. Kim, S. Lee and Ho Kuen Ng (2008) On Balancedness of Some Graph Constructions, Journal of Combinatorial Mathematics and Combinatorial Computing 6: 1-6.

Google Scholar