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2013•Journal of Shaoyang UniversityRequires access

The Energy Formulas of Integral Circulant Graphs

Zhou Hou-qin

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Abstract

Circulant graphs are an important class of interconnection networks in parallel and distributed computing. A graph is called circulant if it is Cayley graph on the circulant group,i. e. its adjacency matrix is circulant. A graph is called integral if all eigenvalues of its adjacency matrix are integers. The energy is defined as the sum of absolute values of its eigenvalues. In this paper,we show here that the energy calculation formulas.

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What this paper is about

Circulant graphs are an important class of interconnection networks in parallel and distributed computing. A graph is called circulant if it is Cayley graph on the circulant group,i. e. its adjacency matrix is circulant. A graph is called integral if all eigenvalues of its adjacency matrix are integers. The energy is defined as the sum of absolute values of its eigenvalues. In this paper,we show here that the energy calculation formulas.

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Available abstract

Circulant graphs are an important class of interconnection networks in parallel and distributed computing. A graph is called circulant if it is Cayley graph on the circulant group,i. e. its adjacency matrix is circulant. A graph is called integral if all eigenvalues of its adjacency matrix are integers. The energy is defined as the sum of absolute values of its eigenvalues. In this paper,we show here that the energy calculation formulas.

Key concepts: Circulant matrix, Graph energy, Circulant graph, Adjacency matrix, Eigenvalues and eigenvectors, Mathematics, Adjacency list, Cayley graph

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