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Feasibility conditions on the parameters of a strongly regular graph
Martins, Enide Andrade; Mano, Vasco Moço; Vieira, Luís António de AlmeidaWe consider a strongly regular graph, G, and associate a three dimensional Euclidean Jordan algebra, V, to the adjacency matrix A of G. Then, by considering convergent series of Hadamard powers of the idempotents of the unique complete system of orthogonal idempotents of V, we establish new feasibility conditions for the existence of strongly regular graphs.
Face counting on an Acyclic Birkhoff polytope
Costa, Liliana; Fonseca, C. M. da; Martins, Enide Andradehttp://www.sciencedirect.com/science/article/B6V0R-4V5GD2H-1/2/5a4ab2f05e5a55a500bf0fc93554003a
The diameter of the acyclic Birkhoff polytope
Costa, Liliana; Fonseca, C. M. da; Martins, Enide AndradeIn this work we give an interpretation of vertices and edges of the acyclic Birkhoff polytope, , where T is a tree with n vertices, in terms of graph theory. We generalize a recent result relatively to the diameter of the graph . ; http://www.sciencedirect.com/science/article/B6V0R-4R70RHM-1/1/4f38cb080e47b5fa8e0d6c36588d41a8
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