Preprint Article Version 1 Preserved in Portico This version is not peer-reviewed

Complexity of some of Pyramid Graphs Created from a Gear Graph

Version 1 : Received: 8 November 2018 / Approved: 9 November 2018 / Online: 9 November 2018 (15:17:44 CET)

A peer-reviewed article of this Preprint also exists.

Liu, J.-B.; Daoud, S.N. The Complexity of Some Classes of Pyramid Graphs Created from a Gear Graph. Symmetry 2018, 10, 689. Liu, J.-B.; Daoud, S.N. The Complexity of Some Classes of Pyramid Graphs Created from a Gear Graph. Symmetry 2018, 10, 689.

Abstract

In mathematics, one always aims to obtain new frameworks from specific ones. This also stratified to the regality of graphs, where one can produce numerous new graphs from a specific set of graphs. In this work we define some classes of pyramid graphs created by a gear graph and we derive straightforward formulas of the complexity of these graphs, using linear algebra matrix analysis techniques and employing knowledges of Chebyshev polynomials.

Keywords

Complexity; Chebyshev Polynomials; Gear graph; Pyramid graphs.

Subject

Computer Science and Mathematics, Computer Vision and Graphics

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