منابع مشابه
Skew Products and Mod 2 Normal Numbersgeon
The mod 2 normality of a real number is defined with respect to measurable subsets in the unit interval and the coboundary condition is obtained. The relation with skew product transformation is also investigated. 1991 Mathematics Subject Classification. Primary 28D05, 58F11, 11K16.
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Let G be a subgraph of a complete bipartite graph Kn,n. Let N(G) be a 0-1 incidence matrix with edges of Kn,n against images of G under the automorphism group of Kn,n. A diagonal form of N(G) is found for every G, and whether the row space of N(G) over Zp contains the vector of all 1’s is determined. This re-proves Caro and Yuster’s results on zero-sum bipartite Ramsey numbers [3], and provides...
متن کاملThe characterization of zero-sum (mod 2) bipartite Ramsey numbers
Let G be a bipartite graph, with k | e(G). The zero-sum bipartite Ramsey number B(G,Zk) is the smallest integer t such that in every Zk-coloring of the edges of Kt,t, there is a zero-sum mod k copy of G in Kt,t. In this paper we give the first proof which determines B(G,Z2) for all possible bipartite graphs G. In fact, we prove a much more general result from which B(G,Z2) can be deduced: Let G...
متن کاملskew-spectra and skew energy of various products of graphs
given a graph $g$, let $g^sigma$ be an oriented graph of $g$ with the orientation $sigma$ and skew-adjacency matrix $s(g^sigma)$. then the spectrum of $s(g^sigma)$ consisting of all the eigenvalues of $s(g^sigma)$ is called the skew-spectrum of $g^sigma$, denoted by $sp(g^sigma)$. the skew energy of the oriented graph $g^sigma$, denoted by $mathcal{e}_s(g^sigma)$, is defined as the sum of the n...
متن کاملSkew Products and Crossed Products by Coactions
Given a labeling c of the edges of a directed graph E by elements of a discrete group G, one can form a skew-product graph E ×c G. We show, using the universal properties of the various constructions involved, that there is a coaction δ of G on C∗(E) such that C∗(E ×c G) is isomorphic to the crossed product C ∗(E) ×δ G. This isomorphism is equivariant for the dual action δ̂ and a natural action ...
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ژورنال
عنوان ژورنال: Studia Mathematica
سال: 2004
ISSN: 0039-3223,1730-6337
DOI: 10.4064/sm165-1-4