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Adjacency algebra
In algebraic graph theory, the adjacency algebra of a graph G is the algebra of polynomials in the adjacency matrix A(G) of the graph. It is an…
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Related topics
Related topics
5 relations
Adjacency matrix
Graph (discrete mathematics)
Polynomial
Spectral graph theory
Broader (1)
Algebraic graph theory
Papers overview
Semantic Scholar uses AI to extract papers important to this topic.
2018
2018
Title Modular adjacency algebras of dual polar schemes
Osamu Shimabukuro
2018
Corpus ID: 73639393
We can define the adjacency algebra of an association scheme over an arbitrary field. It is not always semisimple over a field of…
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2017
2017
JOHNSON SCHEMES AND CERTAIN MATRICES WITH INTEGRAL EIGENVALUES
Amanda Burcroff
2017
Corpus ID: 51753094
We are interested in the spectrum of matrices in the adjacency algebra of the Johnson scheme. In particular, we ask under what…
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2014
2014
Rank-metric codes and their MacWilliams identities
A. Ravagnani
arXiv.org
2014
Corpus ID: 9341734
We compare the duality theories of rank-metric codes proposed by Delsarte and Gabidulin, proving that the former generalizes the…
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2013
2013
Adjacency Algebra of Unitary Cayley Graph
A. Reddy
2013
Corpus ID: 117716468
A few properties of unitary Cayley graphs are explored using their eigenvalues. It is shown that the adjacency algebra of a…
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2010
2010
Complex Hadamard Matrices and Combinatorial Structures
Ada Chan
2010
Corpus ID: 10717494
Forty years ago, Goethals and Seidel showed that if the adjacency algebra of a strongly regular graph X contains a Hadamard…
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2008
2008
Standard Character Condition for C-algebras
J. Bagherian
,
A. Barghi
2008
Corpus ID: 17185937
It is well known that the adjacency algebra of an association scheme has the standard character. In this paper we first define…
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2005
2005
Algebraic Characterizations of Graph Regularity Conditions
B. Curtin
Des. Codes Cryptogr.
2005
Corpus ID: 5210217
It is well-known that a connected finite simple graph is regular if and only if the all-ones matrix spans an ideal of its…
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2004
2004
Modular Adjacency Algebras of Hamming Schemes
Masayoshi Yoshikawa
2004
Corpus ID: 42290259
To each association scheme G and to each field R, there is associated naturally an associative algebra, the so-called adjacency…
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2002
2002
Theory of Hecke algebras to association schemes
A. Hanaki
,
M. Hirasaka
SUT Journal of Mathematics
2002
Corpus ID: 117777069
In the book entitled "Methods of Representation Theory" by Curtis and Reiner they discuss character tables of Hecke algebras…
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1986
1986
Adjacency Matrices
C. D. Walter
1986
Corpus ID: 14761837
In order to study graphs, the notion of graph must first be defined. A graph is a set of points (called vertices, or nodes) and a…
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