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On the kernel of integral circulant graphs

Article ID Journal Published Year Pages File Type
8897839 Linear Algebra and its Applications 2018 8 Pages PDF
Abstract
In this note we examine the role of the eigenvalue 0 and clarify the interrelation between the dimension of the kernel of ICG(n,D) and the graph itself for all prime powers n=pk and for all positive integers n in case D is a multiplicative divisor set.
Keywords
05C5011L03primarysecondaryGraph spectrumEigenvalueIntegral graphCirculant graphCayley graphKernel
Related Topics
Physical Sciences and Engineering Mathematics Algebra and Number Theory
Preview
On the kernel of integral circulant graphs
Authors
J.W. Sander,
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Journal
Linear Algebra and its Applications
Journal: Linear Algebra and its Applications
Related Categories
05C50
11L03
primary
secondary
Graph spectrum
Eigenvalue
Integral graph
Circulant graph
Cayley graph
Kernel
Algebra and Number Theory
Analysis
Applied Mathematics
Computational Mathematics
Control and Optimization
Discrete Mathematics and Combinatorics
Geometry and Topology
Logic
Mathematical Physics
Mathematics (General)
Modelling and Simulation
Numerical Analysis
Statistics and Probability
Theoretical Computer Science
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Journal of Symbolic Computation
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