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Undergraduate
By
Shiva Kintali
on Oct. 3, 2013 | Updated Jan. 4, 2018
Minimum-weight spanning path
Let \(G\) be an undirected weighted complete graph. Iteratively select the edge of least weight such that the edges selected so far form a disjoint union of paths. After \(n-1\) steps, the result is a…
Mathematics
Graph Theory
counter example
hamiltonian path
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Undergraduate
By
Shiva Kintali
on May 19, 2013 | Updated Dec. 6, 2017
Graphs with large min-degree
Let \(G\) be a graph in which every vertex has degree \(\geq 3\). Show that \(G\) contains a cycle of even length. Let \(G\) be a simple undirected graph in which every vertex has degree \(\ge k\). …
Mathematics
Graph Theory
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