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… (More)
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Topic mentions per year

Topic mentions per year

1978-2018
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Papers overview

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2016
2016
The adjacency algebra of an association scheme is defined over an arbitrary field. In general, it is always semisimple over a… (More)
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2010
2010
It is well known that the complex adjacency algebra A of an association scheme has a specific module, namely the standard module… (More)
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2008
2008
It is well known that the adjacency algebra of an association scheme has the standard character. In this paper we first define… (More)
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2008
2008
In this paper, we investigate semisimplicity of cellular algebras over positive characteristic fields. Our main result shows that… (More)
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2005
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… (More)
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2004
2004
To each association scheme G and to each field R, there is associated naturally an associative algebra, the so-called adjacency… (More)
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1999
1999
Weisfeiler on the occasion of the 30th anniversary of their paper where the cellular algebra rst appeared. Abstract We deene and… (More)
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1998
1998
We define and study m-closed cellular algebras (coherent configurations) and m-isomorphisms of cellular algebras which can be… (More)
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1986
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… (More)
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Highly Cited
1978
Highly Cited
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… (More)
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