These notes extensively use material from Lars Arge, David Mount, CLRS book, Knuth’s Art of Computer Programming vol. 1, Kleinberg and Tardos book and the Algorithms from Massive Data Sets book. They are updated occasionally. I have used part of this material for graduate course COMP 5703 on Algorithms at Carleton. The aim of these notes is to summarize the discussion in course lectures, and ar...

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A set of edges of a hypergraph H is an algebraic set if its characteristic vector can be expressed as a linear combination of rows of the (node-edge) incidence matrix of H. Recently it was proven that deciding whether or not a given edge-set of H contains a non-empty algebraic set is an NP complete problem. In this paper we give a linear time algorithm to decide if a given edge-set contains a n...

Founded in 1993, the Yellowstone to Yukon (Y2Y) vision was one of earliest large-landscape conservation visions. Despite growing recognition strategies, there have been few tests date gains achieved through such approaches. We tested for Y2Y region North America following initiation 1993 using a counterfactual spatiotemporal comparison and tracking change five different metrics. First, we enume...

Chromaffin vesieles were first purified by differential and density gradient centrifugation in isotonie (Percoll) gradients. In subsequent suerose gradients p38jsynaptophysin exhibited the same distribution as established marker substances of chromaffin vesieles. Quantification of immunoblots revealed that 750 ng p38{synaptophysin per mg of protein were present in the chromaffin vesieles reeove...

The paper presents a system for manner-based labelling of the speech signal for isolated words from total energy profile. The manner-based classes selected are sibilant, vowel, nasal murmur, semi vowel and lateral, trill, unvoiced unaspirated interrupt, unvoiced aspi rated interrupt, voiced unaspirated interrupt , voiced aspirated interrupt and consonant clusters. The results of labeHing for 10...