We provide a polynomial time algorithm which nds a total colouring of any graph with maximum degree , suciently large, using at most + 8 log 8 colours. This improves the best previous upper bound on the total chromatic number of + 18 1=3 log(3).

documents, in particular source programs, documentation, and test data. It automates the storing, retrieval, logging and identification of revisions, and it provides selection mechanisms for composing configurations. This paper introduces basic version control concepts and discusses the practice of version

O(log m). If we denote by ff;fi;r;s m the Lebesgue constant of the extended interpolation process, then ff;fi;r;s m ¸ log m if ff 2 + 1 4 r ! ff 2 + 5 4 ; fi 2 + 1 4 s ! fi 2 + 5 4 : This technique has been extended to more general contexts and led to the construction of many

, for graphs with sufficiently large vertex degrees (larger than polylog n, but smaller than any positive power of n), the algorithm requires only O(log log n) communication rounds. The algorithm is inherently distributed, but can be implemented on the PRAM, where it requires O(m\Delta) processors and O(log

P1059 Activity of antibiotic combinations towards intracellular small colony variants (SCVs) of S. aureus in a model of THP-1 macrophages

We report on an efficient adaptive N-body method which we have recently designed and implemented. The algorithm computes the forces on an arbitrary distribution of bodies in a time which scales as N log N with the particle number. The accuracy of the force calculations is analytically bounded

give an algorithm with competitive factor O((log \Delta) 1+ffl ), and show that no O(log \Delta)- competitive algorithm can exist. Our algorithm need not know the ratio \Delta in advance. 1 Introduction In the field of on-line scheduling, an algorithm must typically schedule a number of jobs, or tasks

fff(n)g 1 n=0 be a sequence of positive numbers with ff(0) = 1. We show that if fff(n)g 1 n=0 is log-convex, then ff(n)ff(m) ff(n +m); 8n; m 0: On the other hand, if fff(n)=n!g 1 n=0 is log-concave, then ff(n +m) \Gamma n +m n \Delta ff(n)ff(m); 8n; m 0: In particular, we have

We obtain the following new coloring results: ffl A 3-colorable graph on n vertices with maximum degree \Delta can be colored, in polynomial time, using O((\Delta log \Delta) 1=3 \Delta log n) colors. This slightly improves an O((\Delta 1=3 log 1=2 \Delta) \Delta log n) bound given

This study presents correlation analysis of three wells in X-field in the Niger Delta, using three well logs namely Spontaneous Potential (SP), gamma ray (GR) and deep induction log (ILD). Two basic steps were followed in the correlation analysis. These steps are sand and shale correlation