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The rank over a finite field of the adjacency matrix of a directed strongly regular graph is studied, with some applications to the construction of linear codes. Three techniques are used: code orthogonality, adjacency matrix determinant, and adjacency matrix spectrum.
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참고문헌 (10)
참고문헌 신청
/ / http://homepages.cwi.nl/? aeb/math/dsrg/dsrg.html
A. E. Brouwer / 1992 / On the p-rank of the adjacency matrices of strongly regular graphs / J. Algebraic Combin 1 (4) : 329 ~ 346
A. E. Brouwer / 2012 / Spectra of Graphs / Springer
A. M. Duval / 1988 / A directed graph version of strongly regular graphs / J. Comb. Th. Ser. A 47 (1) : 71 ~ 100
C. D. Godsil / 2007 / Representations of directed strongly regular graphs / European J. Combin 28 (7) : 1980 ~ 1993
A. E. Brouwer / 2012 / Spectra of Graphs / Springer
A. M. Duval / 1988 / A directed graph version of strongly regular graphs / J. Comb. Th. Ser. A 47 (1) : 71 ~ 100
C. D. Godsil / 2007 / Representations of directed strongly regular graphs / European J. Combin 28 (7) : 1980 ~ 1993
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