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In max-flow problems, like in matching problems, augmenting paths are paths where the amount of flow between the source and sink can be increased.
The majority of realistic matching problems are much more complex than those presented above.
People who aren't awkward don't have this problem, but I don't know anyone like this.
Matching algorithms are algorithms used to solve graph matching problems in graph theory.
That moment when you're not sure if your housemates heard you having sex or not: you don't know whether they're acting awkward or not, and you're not sure whether you should act awkward or not.
This property can be thought of as the triangle inequality.
A variety of other graph labeling problems, and respective solutions, exist for specific configurations of graphs and labels; problems such as graceful labeling, harmonious labeling, lucky-labeling, or even the famous graph coloring problem.
From online matchmaking and dating sites, to medical residency placement programs, matching algorithms are used in areas spanning scheduling, planning, pairing of vertices, and network flows.
More specifically, matching strategies are very useful in flow network algorithms such as the Ford-Fulkerson algorithm and the Edmonds-Karp algorithm.