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Distance in graphs

Fred Buckley, +1 more
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The article was published on 1990-01-01 and is currently open access. It has received 1185 citations till now. The article focuses on the topics: Graph theory & Convexity.

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Algorithms to Find Geodetic Numbers and Edge Geodetic Numbers in Graphs

TL;DR: In this paper, the authors introduce the algorithms to find geodetic numbers and edge geodesic numbers in connected graphs using dynamic programming approach and introduce the algorithm to find the edge geodic cover of a graph G = (V, E).
Journal ArticleDOI

Wiener index of graphs with fixed number of pendant or cut-vertices

TL;DR: In this paper , the authors characterize the graphs which extremize the Wiener index among all graphs on $n$ vertices with $k$ pendant vertices, and also characterize the graph which minimizes theWiener index over the graphs on n$ vertice with $s$ cut vertices.
Posted Content

The average eccentricity of a graph with prescribed girth

TL;DR: In this article, the authors give upper bounds on the average eccentricity of a connected graph in terms of order n, minimum degree δ, and girth δ of the graph.
Proceedings ArticleDOI

Text format written questions evaluation Methodology

TL;DR: This paper presents a method to analyze students natural language text format written answers, to test questions and check its agreement with teacher s provided alternative answers, using graphics and techniques which will allow to assign values to concepts and relations.
Journal Article

• the edge –to–vertex monophonic number of a graph

TL;DR: In this paper, the edge-to-vertex monophonic number of a connected graph G = (V,E) is determined and some of its general properties are studied.