Let G be a properly colored bipartite graph. A rainbow matching of G is such a matching in which no two edges have the same color. Let G be a properly colored bipartite graph with bipartition (X,Y) ...

ABSTRACT: Let G be a graph. G is singular if and only if the adjacency matrix of graph G is singular. The adjacency matrix of graph G is singular if and only if there is at least one zero eigenvalue.

All seminars (unless otherwise stated) will take place on Tuesdays at 5.00pm in Room 707 in the Mathematics Department (25 Gordon Street). There will be tea afterwards in Room 606 in the Mathematics ...

The Dominating Set problem, a fundamental challenge in graph theory and combinatorial optimization, seeks a subset of vertices such that every vertex in a graph is either in the subset or adjacent to ...

Commutative algebra and graph theory are two vibrant areas of mathematics that have grown increasingly interrelated. At this interface, algebraic methods are applied to study combinatorial structures, ...

Introduction, Statements, and Notation, Connectives, Well-formed formulas, Tautology, Duality law, Equivalence, Implication, Normal Forms, Functionally complete set of connectives, Inference Theory of ...

Binomial edge ideals constitute a vibrant research area where the methods of commutative algebra intersect with the combinatorial structures inherent in graph theory. By associating to each graph an ...

Abstract: Parallel corpora are considered as an inevitable resource of statistical machine translation systems, and can be obtained from parallel, comparable or non-parallel documents. Parallel ...

This course is available on the MSc in Applicable Mathematics and MSc in Management Science (Operational Research). This course is available as an outside option to students on other programmes where ...

Abstract: Solving combinatorial optimization problems holds significant practical importance, and many such problems can be transformed into MILP problems. Currently, Branch-and-Bound (B&B) is a ...

Perold, André, V. Chvatal, R. L. Graham, and S. Whitesides. "Combinatorial Designs Related to the Strong Perfect Graph Conjecture." Discrete Mathematics 26, no. 2 ...