Aug 15, 2018 · In a way Theorem 3.2 states that the edge-centroid must be located in between the internal edge-centroid and the pendant edge-centroid. This ...

Such edge-centroids are also compared with the vertex-based analogues in both trees and graphs. This leads to challenging questions for future work in this ...

One of the most important properties related to distance between vertices, in the form of the middle part of a tree called the “centroid”, has been thoroughly ...

Semantic Scholar extracted view of "Vertex-based and edge-based centroids of graphs" by Yongxin Lan et al.

Such edge-centroids are also compared with the vertex-based analogues in both trees and graphs. This leads to challenging questions for future work in this ...

Sep 2, 2016 · Graph Centroid is a vertex at equal distance or at distance less than or equal (N/2) where N is the size of the connected components connected ...

The eccentricity of a vertex $v$ is the maximum distance between $v$ and anyother vertex. A vertex with maximum eccentricity is called a peripheral vertex.The ...

Jul 28, 2016 · Let T be a tree with n vertices. Assume the center of every tree with less than n vertices is a vertex or an edge. Form T' by deleting the leaves of T.

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Oct 17, 2017 · Prove that the centroid of any tree, T, is either a single vertex or 2 vertices which are connected by an edge in T.