Results 31 to 40 of about 16,356,505 (288)
Totally Critical Even Order Graphs
Journal of Combinatorial Theory, Series B, 1999 A connected graph \(G\) is totally critical if its total chromatic number is at least two more than its maximum degree and is reduced by the removal of an arbitrary edge. Let \(G(p,q)\) have maximum degree \(\Delta(G)\); the deficiency of \(G\) is given by \(\text{def}(G)= \Delta(G)p- 2q\).
G. M. Hamilton +2 more
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Latin cubes of even order with forbidden entries [PDF]
European Journal of Combinatorics, 2020 We consider the problem of constructing Latin cubes subject to the condition that some symbols may not appear in certain cells. We prove that there is a constant $γ> 0$ such that if $n=2t$ and $A$ is a $3$-dimensional $n\times n\times n$ array where every cell contains at most $γn$ symbols, and every symbol occurs at most $γn$ times in every line of
Casselgren, Carl Johan, Anh Pham, Lan
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Even Order Half-Linear Differential Equations with Regularly Varying Coefficients
Mathematics, 2020 We establish nonoscillation criterion for the even order half-linear differential equation (−1)nfn(t)Φx(n)(n)+∑l=1n(−1)n−lβn−lfn−l(t)Φx(n−l)(n−l)=0, where β0,β1,…,βn−1 are real numbers, n∈N, Φ(s)=sp−1sgns for s∈R, p∈(1,∞) and fn−l is a regularly varying (
Vojtěch Růžička
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Some Oscillation Results for Even-Order Differential Equations with Neutral Term
Fractal and Fractional, 2021 The objective of this work is to study some new oscillation criteria for even-order differential equation with neutral term rxzn−1xγ′+qxyγζx=0. By using the Riccati substitution and comparison technique, several new oscillation criteria are obtained for ...
Maryam Al-Kandari, Omar Bazighifan
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Affine difference sets of even order
Journal of Combinatorial Theory, Series A, 1989 Let G be a direct sum of a group of order \(n+1\) and of an Abelian group N of order n-1. If n is even (different from 2), and G admits an affine difference set relative to N then \(n=4k\) and N admits a \((4k-1,4k-1,k-1)\) difference set. Proofs, variations and corollaries are very interesting; for brevity we quote only that there is no nilpotent ...
Arasu, K.T., Jungnickel, Dieter
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Oscillation results for even order functional dynamic equations on time scales
Electronic Journal of Qualitative Theory of Differential Equations, 2014 By employing a generalized Riccati type transformation and the Taylor monomials, some new oscillation criteria for the even order functional dynamic equation \begin{equation*} \left( r(t)\left\vert x^{\Delta ^{n-1}}(t)\right\vert ^{\alpha -1}x^{\Delta ...
Ercan Tunç
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Conjugacy of Self-Adjoint Difference Equations of Even Order
Abstract and Applied Analysis, 2011 We study oscillation properties of 2n-order Sturm-Liouville difference equations. For these equations, we show a conjugacy criterion using the p-criticality (the existence of linear dependent recessive solutions at ∞ and -∞).
Petr Hasil
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On regular handicap graphs of even order
Electronic Notes in Discrete Mathematics, 2017 Abstract Let G = ( V , E ) be a simple graph of order n. A bijection f : V → { 1 , 2 , … , n } is a handicap labeling of G if there exists an integer l such that ∑ u ∈ N ( v ) f ( u ) = l + f ( v ) for all v ∈ V , where N(v) is the set of all vertices adjacent to v.
Dalibor Froncek +6 more
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On the Oscillation of Solutions of Differential Equations with Neutral Term
Mathematics, 2021 In this work, new criteria for the oscillatory behavior of even-order delay differential equations with neutral term are established by comparison technique, Riccati transformation and integral averaging method.
Fatemah Mofarreh +4 more
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Products of elements of even order
Journal of Algebra, 2014 It is known that the product of two non-conjugate elements of order two in a finite group has even order. In the paper under review, the author generalizes this result for the product of two suitable elements of even order. The following consequence (Corollary) is evident from the main result (Theorem 1): Suppose \(u\) and \(v\) are involutions in a ...
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