Given a simple directed graph D = (V,A), let the size of the largest induced directed acyclic graph (dag) be denoted by mas(D). Let D ∈ D(n, p) be a random instance, obtained by choosing each of the ( n 2 ) possible undirected edges independently with probability 2p and then orienting each chosen edge independently in one of two possible directions with probabibility 1/2. We obtain improved bou...

The asymptotic distribution of sample quantiles in the classical definition is well-known to be normal for absolutely continuous distributions. However, this is no longer true for discrete distributions or sampleswith ties.We show that the definition of sample quantiles based on mid-distribution functions resolves this issue and provides a unified framework for asymptotic properties of sample q...

Recently, a variety of non-systematic satisfiability studies on Discrete Hopfield Neural Networks have been introduced to overcome lack interpretation. Although flexible structure was established assist in the generation wide range spatial solutions that converge global minima, fundamental problem is existing logic completely ignores probability dataset’s distribution and features, as well lite...

The acyclic orientation graph, AO(G), of an undirected graph, G, is the graph whose vertices are the acyclic orientations of G and whose edges are the pairs of orientations di ering only by the reversal of one edge. Edelman (1984) has observed that it follows from results on polytopes that when G is simple, the connectivity of AO(G) is at least n − c, where n is the number of vertices and c is ...

Every connected simple graph G has an acyclic orientation. Define a graph AO(G) whose vertices are the acyclic orientations of G and whose edges join orientations that differ by reversing the direction of a single edge. It was known previously that AO(G) is connected but not necessarily Hamiltonian. However, Squire [3] proved that the square AO(G) is Hamiltonian. We prove the slightly stronger ...

A graph is an opposition graph, respectively, a coalition graph, if it admits an acyclic orientation which puts the two end-edges of every chordless 4-vertex path in opposition, respectively, in the same direction. Opposition and coalition graphs have been introduced and investigated in connection to perfect graphs. Recognizing and characterizing opposition and coalition graphs still remain lon...

This research was conducted to study the follicular dynamics, hormonal, biochemical profile and fertility response in acyclic and norgestomet+PMSG treated acyclic buffaloes in summer. The study animals were divided into two groups: group I [control (n=8): no treatment] and II [treatment group (n=15)]. In group II, seven animals were used for follicular biochemical and hormonal profile and eight...

In this paper, we present a system partitioning technique in which the input system specification is based on C++ language. The proposed technique processes data and precedence dependencies simultaneously in one graph representation DADGP, which is an extension of Directed Acyclic Graph (DAG). The DADGP (Directed Acyclic Data dependency Graph with Precedence) based partitioning technique minimi...