Optimal Graphs in the Enhanced Mesh Networks

Joint Authors

Imran, Muhammad
Shahzad Akhtar, Muhammad
Bokhary, Syed Ahtsham ul Haq

Source

Journal of Mathematics

Issue

Vol. 2020, Issue 2020 (31 Dec. 2020), pp.1-15, 15 p.

Publisher

Hindawi Publishing Corporation

Publication Date

2020-05-01

Country of Publication

Egypt

No. of Pages

15

Main Subjects

Mathematics

Abstract EN

The degree diameter problem explores the biggest graph (in terms of number of nodes) subject to some restrictions on the valency and the diameter of the graph.

The restriction on the valency of the graph does not impose any condition on the number of edges (apart from taking the graph simple), so the resulting graph may be thought of as being embedded in the complete graph.

In a generality of the said problem, the graph is taken to be embedded in any connected host graph.

In this article, host graph is considered as the enhanced mesh network constructed from the grid network.

This article provides some exact values for the said problem and also gives some bounds for the optimal graphs.

American Psychological Association (APA)

Shahzad Akhtar, Muhammad& Imran, Muhammad& Bokhary, Syed Ahtsham ul Haq. 2020. Optimal Graphs in the Enhanced Mesh Networks. Journal of Mathematics،Vol. 2020, no. 2020, pp.1-15.
https://search.emarefa.net/detail/BIM-1188291

Modern Language Association (MLA)

Shahzad Akhtar, Muhammad…[et al.]. Optimal Graphs in the Enhanced Mesh Networks. Journal of Mathematics No. 2020 (2020), pp.1-15.
https://search.emarefa.net/detail/BIM-1188291

American Medical Association (AMA)

Shahzad Akhtar, Muhammad& Imran, Muhammad& Bokhary, Syed Ahtsham ul Haq. Optimal Graphs in the Enhanced Mesh Networks. Journal of Mathematics. 2020. Vol. 2020, no. 2020, pp.1-15.
https://search.emarefa.net/detail/BIM-1188291

Data Type

Journal Articles

Language

English

Notes

Includes bibliographical references

Record ID

BIM-1188291