A central spanning tree of a graph is one for which the maximal distance to all other spanning trees is minimal.
In this paper, in connection with the critical sets of the edge set of a graph, some new theorems on central trees of the graph are presented. Also, a few ...
The center, median and the security center are three central parts defined for any connected graph whereas the characteristic set, subtree core and core ...
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A central spanning tree of a graph is one for which the maximal distance to all other spanning trees is minimal. We prove that the problem of constructing a ...
Dec 2, 2021 · Given a N-ary tree with N nodes numbered from 0 to N-1 and a list of undirected edges, the task is to find the node(s) at the center of the given tree.
Mar 28, 2013 · I'm having some trouble thinking about how to locate the central point of a graph; that is, a node on a graph which minimizes the maximal distance to all the ...
May 13, 2013 · There are exactly three trees with vertex set {1,2,3}. Note that all these trees are paths; the only difference is which vertex has degree 2.
A tree with a center is called a central tree, and a tree with a bicenter is called a bicentral tree. Note that every tree is either central or bicentral, but ...
Apr 23, 2024 · And so indeed the graph you are talking is the ball of given radius in the (infinite) n-regular tree graph (centered at any vertex).