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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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Papers overview

Semantic Scholar uses AI to extract papers important to this topic.
2018
2018
We can define the adjacency algebra of an association scheme over an arbitrary field. It is not always semisimple over a field of… 
2017
2017
We are interested in the spectrum of matrices in the adjacency algebra of the Johnson scheme. In particular, we ask under what… 
2014
2014
We compare the duality theories of rank-metric codes proposed by Delsarte and Gabidulin, proving that the former generalizes the… 
2013
2013
A few properties of unitary Cayley graphs are explored using their eigenvalues. It is shown that the adjacency algebra of a… 
2010
2010
Forty years ago, Goethals and Seidel showed that if the adjacency algebra of a strongly regular graph X contains a Hadamard… 
2008
2008
It is well known that the adjacency algebra of an association scheme has the standard character. In this paper we first define… 
2005
2005
  • B. Curtin
  • 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… 
2004
2004
To each association scheme G and to each field R, there is associated naturally an associative algebra, the so-called adjacency… 
2002
2002
In the book entitled "Methods of Representation Theory" by Curtis and Reiner they discuss character tables of Hecke algebras… 
1986
1986
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…