We study budgeted variants of classical cut problems: the Multiway Cut problem, the Multicut problem, and the k-Cut problem, and provide approximation algorithms for these problems. Specifically, for the budgeted multiway cut and the k-cut problems we provide constant factor approximation algorithms. We show that the budgeted multicut problem is at least as hard to approximate as the sparsest c...

We propose Inflate-Paste – a new technique for generating orthogonal polygons with a given number of vertices from a unit square based on gluing rectangles. It is dual to Inflate-Cut – a technique we introduced in [12] that works by cutting rectangles.

For a positive integer d, the d-CUT is problem of deciding if an undirected graph $$G=(V,E)$$ has nontrivial bipartition (A, B) V such that every vertex in A (resp. at most d neighbors B A). When $$d=1$$ , this MATCHING CUT problem. Gomes and Sau [9] gave first fixed-parameter tractable algorithm for parameterized by maximum number crossing edges cut (i.e., size edge cut). However, their paper ...

Luca Trevisan [1] presented an approximation algorithm for Max Cut based on spectral partitioning techniques. He proved that the algorithm has an approximation ratio of at least 0.531. We improve this bound up to 0.6142. We also define and extend this result for the more general Maximum Colored Cut problem.

Abstract Let V be a set of n vertices, $${\mathcal M}$$ M m labels, and let $${\textbf{R}}$$ R an $$m \times n$$ m × n matrix ofs independent Bernoulli random variables with probability success p ; columns are incidence...

ABSTRACT Objective: to verify the validity and reliability of Psychological Distress Scale for screening mental distress. Methods: a cross-sectional study with 75 elderly people. scale Self Reporting Questionnaire were used. Criterion was verified using Spearman’s correlation diagnostic accuracy measures. Cronbach’s alpha coefficient used investigate reliability. Results: total internal consist...

We give detailed results of $\mathcal{O}(\alpha)$ QED corrections (both real emission and virtual corrections) to $B\to K\ell^+\ell^-$ modes. Requiring the be gauge invariant, structure contact term(s) is fixed. The calculation done with a fictitious photon mass as IR regulator are shown independent it, establishing cancellation soft divergences. Results presented for choice energy, $k_{max}$, ...