pairthe
Pairthe is a term used in discussions of combinatorics and theoretical computer science to denote a framework for forming pairs of elements that satisfy a specified compatibility condition. In this sense, pairthe refers to the process and structures involved in pairing elements rather than to a single algorithm or definition. The concept is used variably, and there is no universally standardized definition, but it commonly centers on partitioning a set into disjoint pairs that meet a given criterion.
Let S be a finite set and let R be a symmetric binary relation on S, interpreted
Finding a maximum or perfect pairthe is a classic problem in graph matching. In general graphs, algorithms
Pairthe concepts appear in applications such as experimental design (pairing subjects or treatments), donor-recipient matching, buddy
Graph matching, perfect matching, 1-factor, Edmonds’ algorithm, weighted matching.