نتایج جستجو برای: with strong odd

تعداد نتایج: 9297465  

Journal: :Studia Mathematica 1972

Journal: :Discrete Mathematics 2009
Khurram Shafique Ronald D. Dutton

A strong defensive alliance in a graph G = (V, E) is a set of vertices A ⊆ V , for which every vertex v ∈ A has at least as many neighbors in A as in V − A. We call a partition A, B of vertices to be an alliance-free partition, if neither A nor B contains a strong defensive alliance as a subset. We prove that a connected graph G has an alliance-free partition exactly when G has a block that is ...

2008
Jon Grantham JON GRANTHAM

Monier and Rabin proved that an odd composite can pass the Strong Probable Prime Test for at most 1 4 of the possible bases. In this paper, a probable prime test is developed using quadratic polynomials and the Frobenius automor-phism. The test, along with a xed number of trial divisions, ensures that a composite n will pass for less than 1 7710 of the polynomials x 2 ? bx ? c with b 2 +4c n = ...

2013

Consider the group of integers Z under addition. Let H be the subgroup of even integers. Notice that if you take the elements of H and add one, then you get all the odd elements of Z. In fact if you take the elements of H and add any odd integer, then you get all the odd elements. On the other hand, every element of Z is either odd or even, and certainly not both (by convention zero is even and...

Journal: :Inf. Process. Lett. 2004
Manoel B. Campêlo Ricardo C. Corrêa Yuri Frota

Certain subgraphs of a given graph G restrict the minimum number χ(G) of colors that can be assigned to the vertices of G such that the endpoints of all edges receive distinct colors. Some of such subgraphs are related to the celebrated Strong Perfect Graph Theorem, as it implies that every graph G contains a clique of size χ(G), or an odd hole or an odd anti-hole as an induced subgraph. In thi...

Oppositional Defiant Disorder (ODD) is one of the most common behavioral disorders that severely damages a child’s interpersonal relationships with peers, friends, and family members. The family and the quality of its interrelationships, as the first and most enduring factor in the formation of the child’s personality and subsequent behaviors, is a determining factor in the development of menta...

Journal: :Ramanujan Journal 2022

For any distinct two primes \(p_1\equiv p_2\equiv 3\) \((\text {mod }4)\), let \(h(-p_1)\), \(h(-p_2)\) and \(h(p_1p_2)\) be the class numbers of quadratic fields \(\mathbb {Q}(\sqrt{-p_1})\), {Q}(\sqrt{-p_2})\) {Q}(\sqrt{p_1p_2})\), respectively. Let \(\omega _{p_1p_2}:=(1+\sqrt{p_1p_2})/2\) \(\varPsi (\omega _{p_1p_2})\) Hirzebruch sum _{p_1p_2}\). We show that \(h(-p_1)h(-p_2)\equiv h(p_1p_2...

2011
Ulrich Kohlenbach

We give quantitative versions of strong convergence results due to Baillon, Bruck and Reich for iterations of nonexpansive odd (and more general) operators in uniformly convex Banach spaces.

2005
Kazuhiko NISHIJIMA K. Nishijima

Based on the charge independence hypothesis the properties of V particles are theoretically investigated. It is found that the curious behaviours of these unstable particles are most simply interpreted in terms of the 1}-charge conservation law which directly results from the C. I. hypothesis and suitable isotopic spin assignments to these particles. The topics which are discussed in this paper...

Journal: :Advances in Applied Clifford Algebras 2016

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