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Showing 1 to 2 of 2 for “"Matching in Graphs"”.
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Algorithms for Vertex-Weighted Matching in Graphs
<p>A matching M in a graph is a subset of edges such that no two edges in M are incident on the same vertex. Matching is a fundamental combinatorial problem that has applications in many contexts: high-performance computing, bioinformatics, network switch design, web technologies, etc. Examples in …
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Extremal problems for labelling of graphs and distance in digraphs
We study several extremal problems in graph labelling and in weak diameter of digraphs. In Chapter 2 we apply the Discharging Method to prove the 1,2,3-Conjecture [41] and the 1,2-Conjecture [48] for graphs with maximum average degree less than 8/3. Stronger results on these conjectures have been …