Graph partitioning and bisection represent fundamental questions in combinatorial optimisation, concerned with dividing the vertices of a graph into disjoint subsets while balancing size constraints ...

Extremal graph theory seeks the largest or smallest structure a graph can exhibit under given constraints, typically by forbidding a particular subgraph. The classical Turán problem determines the ...

Entrepreneurs who build successful businesses often possess a unique ability to see what others don't—the critical bottlenecks hiding in plain sight that create frustration, inefficiency, and lost ...

Research provides a striking revelation about problem solvers. The best problem solvers approach problems much differently than novices. For instance, one meta-study showed that when experts evaluate ...

A holy grail of theoretical computer science, with numerous fundamental implications to more applied areas of computing such as operations research and artificial intelligence, is the question of ...

Abstract: Graph algorithms are widely used for decision making and knowledge discovery. To ensure their effectiveness, it is essential that their output remains stable even when subjected to small ...

We've all been there: staring at a math test with a problem that seems impossible to solve. What if finding the solution to a problem took almost a century? For mathematicians who dabble in Ramsey ...

Abstract: The Graph Coloring Problem (GCP) is concerned with finding the chromatic number, i.e., the minimum number of unique colors required to color adjacent nodes in the graph. Given that ...