ABSTRACT: If is a permutation of , the graph has vertices where xy is an edge of if and only if (x, y) or (y, x) is an inversion of . Any graph isomorphic to is ...

Combinatorial enumeration and pattern avoidance represent a vibrant area of modern discrete mathematics, where the objective is to count and characterise structures subject to specific constraints.

Combinatorial enumeration is a fundamental aspect of discrete mathematics and computer science. The Enumerati library offers a collection of classes for generating and handling different types of ...

Abstract: Combinatorial optimization problems under permutation property (COPP) are generally NP-hard. To address such problems, metaheuristic approaches have increasingly captured the research ...

Abstract: Symmetry is a widespread phenomenon in nature. Recognizing symmetry can minimize redundancy to improve computing efficiency. In this paper, we take permutation-related combinatorial ...

The Draw-generator is an implementation for permutation and combinatorics in C++. These are represented by a simplified model based on an urn. Three main concepts are used: Urn, Balls, and Draw are ...

LG.02, School of Mathematics, Fry Building, Woodland Road, Bristol, BS8 1UG There is no registration fee, and refreshments will be provided during the afternoon coffee break. Please register using the ...