adjacent relation
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scholarly journals The Least Eigenvalue of the Graphs Whose Complements Are Connected and Have Pendent Paths

2018 ◽  
Vol 8 (4) ◽  
pp. 303-308 ◽  
Author(s):  
Chen Wang ◽  
Guidong Yu ◽  
Wei Sun ◽  
Jinde Cao
Keyword(s):  
Adjacency Matrix ◽  
Minimum Eigenvalue ◽  
Least Eigenvalue ◽  
Unique Graph ◽  
Adjacent Relation

Abstract The adjacency matrix of a graph is a matrix which represents adjacent relation between the vertices of the graph. Its minimum eigenvalue is defined as the least eigenvalue of the graph. Let Gn be the set of the graphs of order n, whose complements are connected and have pendent paths. This paper investigates the least eigenvalue of the graphs and characterizes the unique graph which has the minimum least eigenvalue in Gn.

Adjacent-relation-based map zooming method

2010 ◽  
Author(s):  
Chaode Yan ◽  
Renliang Zhao ◽  
Jun Chen ◽  
Xuesheng Zhao
Keyword(s):  
Adjacent Relation
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