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Spectral Graph Theory

Aref Jeribi
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Aref Jeribi: University of Sfax, Department of Mathematics

Chapter Chapter 12 in Spectral Theory and Applications of Linear Operators and Block Operator Matrices, 2015, pp 413-439 from Springer

Abstract: Abstract The concept of the line graph of a given graph is so natural that it has been independently discovered by many authors. Of course, each author gave it a different name: It was called the interchange graph by Ore [272], derivative by H. Sachs [297], derived graph by L. W. Beineke [52], edge-to-vertex dual by M. Reed [291], coverning graph by G. Kirchhoff [189], and adjoint by V. Menon [247].

Keywords: Line Graph; Graphics Interchange; Low Local Complexity; Riesz-Markov Theorem; Essential Self-adjointness (search for similar items in EconPapers)
Date: 2015
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DOI: 10.1007/978-3-319-17566-9_12

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