We prove that every graph of minimum degree at least r and girth at least 186 contains a subdivision of Krþ1 and that for r5435 a girth of at least 15 suffices. This implies that the conjecture of Haj ! os that every graph of chromatic number at least r contains a subdivision of Kr (which is false in general) is true for graphs of girth at least 186 (or 15 if r5436). More generally, we show tha...

In a previous work, we proposed a framework extension approach based on the use of a new concept, called Extension Join Points (EJPs). EJPs enable the framework systematic extension by means of variability and integration aspects. In this paper, we show how EJPs can be implemented using the mechanisms of the AspectJ language. To evaluate the usefulness of the EJPs in the framework extension pro...

an editing error resulted in a mistake in the paragraph titled " December 1996. " Yassin Al Haj Saleh's " trial " is noted as having taken place in 1982 when it did not, in fact, take place until 1992.

Haj\'os conjectured that every graph containing no subdivision of the complete $K_{s+1}$ is properly $s$-colorable. This conjecture was disproved by Catlin. Indeed, maximum chromatic number such graphs $\Omega(s^2/\log s)$. We prove $O(s)$ colors are enough for a weakening this only requires monochromatic component to have bounded size (so-called clustered coloring). Our approach leads more res...

Class C-User; Interface Use Coord, Size, Angle, Privilege, Ownership; Type c-user; Methods join _ : privilege; leave; select _ : coord; unselect; go-down; go-back; delete; move _ : coord; resize _ : size; rotate _ : angle; own-for _ : ownership; Body Use Unique, C-Viewport; Places idle _ , active _ : unique; cur-vp _ : c-viewport; Initial idle @; Axioms join pr with v.(self join pr) :: idle @ -...

Class C-User; Interface Use Coord, Size, Angle, Privilege, Ownership; Type c-user; Methods join _ : privilege; leave; select _ : coord; unselect; go-down; go-back; delete; move _ : coord; resize _ : size; rotate _ : angle; own-for _ : ownership; Body Use Unique, C-Viewport; Places idle _ , active _ : unique; cur-vp _ : c-viewport; Initial idle @; Axioms join pr with v.(self join pr) :: idle @ -...

Cost Analysis of Joins in RDF Query Processing Using the TripleT Index By Kanwei Li The Semantic Web movement has led to a growing popularity of RDF and its query languages. Clearly, good query performance is important in allowing information to be quickly retrieved from RDF datasets that are everincreasing in size. We use the TripleT indexing scheme for RDF data as a framework to examine the c...

In this article, for an optimal range of the smoothness parameter s that depends (quantitatively) on geometric makeup underlying space, authors identify purely measure theoretic conditions fully characterize embedding and extension domains scale Haj?asz–Triebel–Lizorkin spaces Mp,qs Haj?asz–Besov Np,qs in general homogeneous type. Although stated context quasi-metric spaces, these characterizat...

Equijoin between two relations is one of the basic operations in relational database and a large volume of research have been devoted to it. However, in recent years, there hasn't been a survey which objectively compares a wide spectrum of various join techniques in their relative performances. This survey compares performance and practicality between various join techniques. Main criteria for ...