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 anâ€¦Â (More)

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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 aâ€¦Â (More)

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2010

2010

- 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 moduleâ€¦Â (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 defineâ€¦Â (More)

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2008

2008

- Reza Sharafdini
- 2008

In this paper, we investigate semisimplicity of cellular algebras over positive characteristic fields. Our main result shows thatâ€¦Â (More)

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2005

2005

- 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 itsâ€¦Â (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 adjacencyâ€¦Â (More)

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1999

1999

- 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 andâ€¦Â (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 beâ€¦Â (More)

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1986

1986

- ADJACENCY MATRICES, Colin D. Walter
- 1986

For a graph Î“ with vertex set V an algebra of adjacency matrices is defined and viewed as an equivalence relation on V Ã— V withâ€¦Â (More)

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Highly Cited

1978

Highly Cited

1978

- 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 associatedâ€¦Â (More)

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