The Newton Bracketing method [9] for the minimization of convex functions f : Rn R is extended to affinely constrained convex minimization problems. The results are illustrated for...
Polar graphs are a natural extension of some classes of graphs like bipartite graphs, split graphs and complements of bipartite graphs. A graph is (s, k)-polar if there exists a pa...
Tinaz Ekim, Nadimpalli V. R. Mahadev, Dominique de...
Given a graph G = (V, E) and a positive integer k, the PARTITION INTO CLIQUES (PIC) decision problem consists of deciding whether there exists a partition of V into k disjoint sub...
Let G = (V, E) be a graph with vertex set V and edge set E. The k-coloring problem is to assign a color (a number chosen in {1, . . . , k}) to each vertex of G so that no edge has...
A mobile agent (robot), modeled as a finite automaton, has to visit all nodes of a regular graph. How does the memory size of the agent (the number of states of the automaton) inf...
ct The average case analysis of algorithms usually assumes independent, identical distributions for the inputs. In [?], Kenyon introduced the random-order ratio, a new average case...
In comparative genomics, one wishes to deduce the evolutionary distance between dierent species by studying their genomes. Using gene order information, we seek the number of time...
: We consider a problem of searching an element in a partially ordered set (poset). The goal is to find a search strategy which minimizes the number of comparisons. Ben-Asher, Farc...