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678  Articles
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In this paper we improve the upper bound on the multi-color Ramsey numbers of paths and even cycles. More precisely, we prove the following. For every r=2r\geq 2 there exists an n0=n0(r)n_0=n_0(r) such that for n=n0n\geq n_0 we have Rr... see more

?We will classify all finite simple graphs whose 2-distance graph have large or small maximum valency?, ?specially when it is a path or a cycle?.

This is a survey of results obtained during the last 45 years regarding the intersection behaviour of all longest paths, or all longest cycles, in connected graphs. Planar graphs and graphs of higher connectivity receive special attention. Graphs embeddab... see more

?We will classify all finite simple graphs whose 2-distance graph have large or small maximum valency?, ?specially when it is a path or a cycle?.

Most road accidents occur in urban areas and notably at urban intersections, where cyclists and motorcyclists are the most vulnerable. In the last few years, cycling mobility has been growing; therefore, bike infrastructures should be designed to encourag... see more

In discrete mathematics, there are many problems that belong to the NP class of complexity. The solution of these problems has both theoretical and practical value. One of them is the problem of finding a Hamiltonian cycle on a graph. The aim of the work ... see more

Congenital malformations are pathology with a multifactorial etiology. Among their many endogenous, exogenous factors and hereditary predisposition are important. In particular a decrease in follicular enzymes (MTHFR, MTR, MTRR) activity at the genetic le... see more

Introduction. Sulfur-containing amino acids affect the vital processes of cells and methylation processes support the redox potential and integrity of cellular systems, incapacitate toxicants and free radicals. Disorders of sulfur-containing amino acids m... see more

BACKGROUND: Thyroid hormones are key regulators of essential cellular processes including proliferation, differentiation, and finally apoptosis.AIM: The aim of study was to detect changes in the expression of apoptosis and cell cycle pathway-focused genes... see more

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