EURO 2024 Copenhagen
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3408. Some particular combinatorial problem solved using integer partition theory techniques."

Invited abstract in session WC-25: Topics in Combinatorial Optimization I (Contributed), stream Combinatorial Optimization.

Wednesday, 12:30-14:00
Room: 011 (building: 208)

Authors (first author is the speaker)

1. Zahra Yahi
Faculté SEGC, Université de béjaia
2. Sadek Bouroubi
Université de USTHB

Abstract

There is an abundant literature on integer partitions, with diverse applications, notably in computer science and more specifically in the field of image processing. In this paper, we present some new results. In the first part we present the initial result, concrenig the enumeration of triangles with fixed premeter and distincts side lengths and in the seceod part, we give closed formula of the number of quadrilatrals with different side lengths and a fixed perimeter, achieved through the utilization of integer partitions theory. Intermediate results are provided."Many open problems will be posed for further exploration."

Keywords

Status: accepted


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