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JavaScript is disabled for your browser. Some features of this site may not work without it. On symmetric association schemes and associated quotient-polynomial graphs. Mostra el registre d'ítem complet. Fiol Mora, Miquel Àngel. Penjic, Safet. Tipus de document Article. Data publicació Condicions d'accés Accés obert. Tots els drets reservats. Abstract Let denote an undirected, connected, regular graph with vertex setadjacency matrixand distinct eigenvalues.

Let denote the subalgebra of generated by. We refer to as the adjacency algebra of. In this symbiotic relationship in the tundra examples we investigate algebraic and combinatorial structure of for which the adjacency algebra is closed under Hadamard multiplication.

In particular, under this simple assumption, we show the following: i has a standard basis ; ii for every vertex there exists identical distance-faithful intersection diagram of with cells; iii the graph is quotient-polynomial; and iv if we pick then has distinct what is association in algebra if and only if. We describe the combinatorial structure of quotient-polynomial graphs with diameter and distinct eigenvalues.

What is association in algebra a consequence of the techniques used in the paper, some simple algorithms allow us to decide whether is distance-regular or not and, more generally, which distance- matrices are polynomial ingiving also these polynomials. Citació Fiol, M. DOI ISSN Cerca a UPCommons.

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