Most of the practical applications that require optimization often involve multiple objectives. These objectives, when conflicting in nature, pose both as well decision-making challenges. An procedure for such a multi-objective problem requires computing (computer-based search) and decision making to identify most preferred solution. Researchers practitioners working various domains have integr...

We use circular sequences to give an improved lower bound on the minimum number of (≤ k)– sets in a set of points in general position. We then use this to show that if S is a set of n points in general position, then the number (S) of convex quadrilaterals determined by the points in S is at least 0.37533 ` n 4 ́ + O(n). This in turn implies that the rectilinear crossing number cr(Kn) of the com...

The main contribution of this paper is a new approach for enumerating Hamilton cycles in bounded degree graphs – deriving thereby extremal bounds. We describe an algorithm which enumerates all Hamilton cycles of a given 3-regular n-vertex graph in time O(1.276), improving on Eppstein’s previous bound. The resulting new upper bound of O(1.276) for the maximum number of Hamilton cycles in 3-regul...

In this article we introduce (combinatorial) multi{color discrepancy and generalize some classical results from 2{color discrepancy theory to c colors. We give a recursive method that constructs c{colorings from approximations to the 2{color discrepancy. This method works for a large class of theorems like the six{standard{deviation theorem of Spencer, the Beck{Fiala theorem and the results of ...

Acknowledgments First of all I want to thank my advisor, Stefan Felsner. In lectures and many discussions I learned a lot from him not only about graph theory and combinatorics. He was also willing to share the large and little tricks and insights that make (scientific) working so much easier. During lunches and many coffee breaks I also learned a lot from Stefan about life, the universe, and e...

Indonesia saat ini mengalami beban ganda masalah gizi, dimana defisiensi gizi mikro dan makro terjadi bersamaan dengan tingginya prevalensi obesitas. Penting memaksimalkan peran kader Posyandu Ibu balita sebagai upaya untuk mewujudkan derajat kesehatan masyarakat yang optimal. Kegiatan bertujuan memberikan edukasi tentang pada metode Emotional Demonstration (Emo-Demo), kegiatan digunakan Emo-De...