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Calculating Minimum Spanning Trees in Very Big Graphs

I need to determine Minimum Spanning Trees (MST) of very big complete graphs, whose edgeweights can be calculated from data that is associated with the vertices. In the planar euclidean case, for ...
Manfred Weis's user avatar
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2 votes
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Is there a name for this variant of the MST and the TSP?

Suppose I am given a weighted graph $G$ that contains a "start vertex" $v_0$, and my goal is to construct a set of paths that all originate at $v_0$ and touch all of the vertices of $G$, with as ...
Tom Solberg's user avatar
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1 vote
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52 views

How can we hang the weighted trees so that vertices nearer to root (based on distances, not hop count) lie in upper levels?

I have a set of edge weighted trees, each tree rooted at some vertex. Consider these trees are hung from the roots and vertices are arranged in some levels. I wish to design an algorithm (...
Hemraj Raikwar's user avatar
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Online algorithms for MSTs from time series

Is it possible to construct the MST (minimum-weight spanning tree) for an potentially infinite sequence of points $\lbrace (i,Y[i]): i\in\mathbb{N}_0,\,c_{\text{min}} \le Y[i]\le c_{\text{max}}\rbrace$...
Manfred Weis's user avatar
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