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Distance in graphs
Fred Buckley,Frank Harary +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.read more
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On an edge partition and root graphs of some classes of line graphs
TL;DR: This paper finds some structural relations between these graph classes by finding a partition of the edge set of the line graph of a graph $G$ into the edge sets of the Gallai and anti-Gallai graphs of $G$.
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The Laplacian Energy of Conjugacy Class Graph of Some Finite Groups
TL;DR: In this paper, the Laplacian energy of the conjugacy class graph of some dihedral groups, generalized quaternion groups, quasidihedral groups and their eigenvalues are determined.
Strongly Closed Geodetic Numbers of Graphs
TL;DR: In this article, the strongly closed geodetic number of a graph was introduced and its values for some graphs including graphs that resulted from the join, corona and composition of connected graphs.
A Horizontal Edges Bound for the Independence Number of a Graph
TL;DR: In this article, the authors show that the difference between α and ε can be arbitrarily large and that ε-critical Graphs and the core of a graph are εcritical.
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Total eccentricity index of graphs with fixed number of pendant or cut vertices
Dinesh Pandey,Kamal Lochan Patra +1 more
TL;DR: In this paper, the sharp lower and upper bounds on the total eccentricity index of a connected graph were derived for the case where n = 0, 1, n-3,n-2.