A bipartite graph G = ( V , E ) with 1 ∪ 2 is biregular if all the vertices of a stable set i have same degree r for . In this paper, we give an improved new Moore bound infinite family such graphs odd diameter. This problem was introduced in 1983 by Yebra, Fiol, and Fàbrega. Besides, propose some constructions diameter d large number N ; together their spectra. cases diameters 3 4, 5, attainin...

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Almost any reasonable class of finite relational structures has the Ramsey property or a precompact expansion. In contrast to that, list classes algebras with expansion is surprisingly short. this paper we show that nontrivial variety (that is, equationally defined algebras) enjoys various dual properties. We develop completely new set strategies rely on fact left adjoints preserve property, an...

The problem of estimating the scale matrix ? in a multivariate additive model, with elliptical noise, is considered from decision-theoretic point view. As natural estimators form ˆ = S (where sample covariance and positive constant) perform poorly, we propose general , G ( + Z ) where Moore–Penrose inverse correction matrix. We provide conditions on such that improves over under quadratic loss ...

In this article I consider the convergence of the Eilenberg– Moore spectral sequence for Morava K-theory. This spectral sequence can be constructed by applying Morava K-theory to D. L. Rector’s geometric cobar construction of the Eilenberg–Moore spectral sequence. I have shown that the Eilenberg–Moore spectral sequence for Morava Ktheory converges if the Eilenberg–Moore spectral sequence for or...

The nonexistence of digraphs with order equal to the Moore bound Md;k = 1+d+: : :+d k for d; k > 1 has lead to the study of the problem of the existence ofàlmost' Moore digraphs, namely digraphs with order close to the Moore bound. In 1], it was shown that almost Moore digraphs of order Md;k ? 1, degree d, diameter k (d; k 3) contain either no cycle of length k or exactly one such cycle. In thi...