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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…Â
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1978-2018
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5 relations
Adjacency matrix
Graph (discrete mathematics)
Polynomial
Spectral graph theory
Broader (1)
Algebraic graph theory
Related mentions per year
Related mentions per year
1938-2018
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Adjacency algebra
Polynomial
Graph (discrete mathematics)
Adjacency matrix
Spectral graph theory
Algebraic graph theory
Papers overview
Semantic Scholar uses AI to extract papers important to this topic.
2016
2016
Modular adjacency algebras of Grassmann graphs
Osamu Shimabukuro
,
Masayoshi Yoshikawa
2016
The adjacency algebra of an association scheme is defined over an arbitrary field. In general, it is always semisimple over a…Â
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2010
2010
Standard Character Condition for Table Algebras
Amir Rahnamai Barghi
,
Javad Bagherian
Electr. J. Comb.
2010
It is well known that the complex adjacency algebra A of an association scheme has a specific module, namely the standard module…Â
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2008
2008
Standard Character Condition for C-algebras
Javad Bagherian
,
Amir Rahnamai Barghi
2008
It is well known that the adjacency algebra of an association scheme has the standard character. In this paper we first define…Â
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2008
2008
Semisimplicity of Cellular Algebras over Positive Characteristic Fields
Reza Sharafdini
2008
In this paper, we investigate semisimplicity of cellular algebras over positive characteristic fields. Our main result shows that…Â
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2005
2005
Algebraic Characterizations of Graph Regularity Conditions
Brian Curtin
Des. Codes Cryptography
2005
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…Â
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2004
2004
Modular Adjacency Algebras of Hamming Schemes
Masayoshi Yoshikawa
2004
To each association scheme G and to each field R, there is associated naturally an associative algebra, the so-called adjacency…Â
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1999
1999
On Highly Closed Cellular Algebras and Highly Closed Isomorphisms
Sergei Evdokimov
,
Ilia N. Ponomarenko
Electr. J. Comb.
1999
Weisfeiler on the occasion of the 30th anniversary of their paper where the cellular algebra rst appeared. Abstract We deene and…Â
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1998
1998
On highly closed cellular algebras
Sergei Evdokimov
,
Ilia Ponomarenko
1998
We define and study m-closed cellular algebras (coherent configurations) and m-isomorphisms of cellular algebras which can be…Â
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1986
1986
Adjacency Matrices *
ADJACENCY MATRICES
,
Colin D. Walter
1986
For a graph Γ with vertex set V an algebra of adjacency matrices is defined and viewed as an equivalence relation on V × V with…Â
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Highly Cited
1978
Highly Cited
1978
Bilinear Forms over a Finite Field, with Applications to Coding Theory
Philippe Delsarte
J. Comb. Theory, Ser. A
1978
Let 0 be the set of bilinear forms on a pair of finite-dimensional vector spaces over GF(q). If two bilinear forms are associated…Â
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