In 2020 Bang-Jensen et. al. generalized the Haj\'os join of two graphs to class digraphs and several results for vertex colorings in digraphs. Although, as a consequence these results, digraph can be obtained by constructions (directed identifying non-adjacent vertices), determining obtain is complex problem. particular, et posed problem operations construct symmetric 5-cycle from complete orde...

A graph G is said to have property Pm if it contains no subdivision of Km+1 and no subdivision of Kdm=2e+1;bm=2c+1. Chartrand et al. (J. Combin Theory 10 (1971) 12–41) (see also Problem 6.3 in Jensen and Toft (Graph Coloring Problems, Wiley, New York, 1995) conjectured that the set of vertices (respectively, edges) of any graph with property Pm can be partitioned into m−n+1 subsets such that ea...

Let G be a simple graph with vertex set V (G). The common neighborhood graph or congraph of G, denoted by con(G), is a graph with vertex set V (G), in which two vertices are adjacent if and only if they have at least one common neighbor in G. We compute the congraphs of some composite graphs. Using these results, the congraphs of several special graphs are determined.

Efficient evaluation of spatial join is an important issue in spatial databases. The traditional evaluation strategy is to perform a join of “minimum bounding rectangles” (mbr) of the spatial objects (mbr-filter) and evaluate the actual join of the objects using the results of the join on approximations. Improvements to add additional filtering using more accurate approximations were also consi...

Language resources are important for those working on computational methods to analyse and study languages. These resources are needed to help advancing the research in fields such as natural language processing, machine learning, information retrieval and text analysis in general. We describe the creation of useful resources for languages that currently lack them, taking resources for Arabic s...

Haj is one of the five cardinal components of Islam commonly known as the five pillars of Islam. Approximately two million Muslims perform it each year. Haj involves travel to the holy sites in and around Mecca and Medina during a specified short period of time in a limited space, not usually inhabited by such a large number of people. This article deals with the effects of this event on diabet...

The notes kept during the pilgrimage journeys and observations, impressions determinations of authors provided formation type called travelnames. Many examples this species have been written both in outside Anatolian area. Tatar Turks are one societies which writing works with content Anatolia has turned into a literary tradition. In study, Haj Seyâhatnâma Musa Jarullah, thinker, will be discus...

Solid state drives (SSDs) have emerged as an attractive alternative for storing large databases. A read operation on SSDs is faster than a write operation. However, database management systems (DBMSs) have been designed assuming read and write operations would be executed in the same amount of time (characteristic of hard drives HDDs). Thus, to fully exploit benefits provided by SSDs, component...

In this paper, we establish the equivalence between the Haj lasz-Sobolev spaces or classical Triebel-Lizorkin spaces and a class of grand Triebel-Lizorkin spaces on Euclidean spaces and also on metric spaces that are both doubling and reverse doubling. In particular, when p ∈ (n/(n + 1),∞), we give a new characterization of the Haj laszSobolev spaces Ṁ (R) via a grand Littlewood-Paley function.