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Lower bounds on the irregularity of trees and unicyclic graphsAzari, Mahdieh ; Dehgardi, Nasrin ; Došlić, TomislavThe imbalance of an edge in a graph is defined as the absolute value of the difference of the degrees of its end-vertices. The irregularity of a simple graph is defined as the sum of the imbalances ... of all edges of . It is used as a measure to quantify the deviation of a graph from being regular. In this paper, a sharp lower bound on the irregularity of trees and unicyclic graphs in terms of the maximum degree is established and the corresponding extremal trees and unicyclic graphs are characterized.Source: Discrete applied mathematics. - ISSN 0166-218X (Vol. 324, 2023, str. 136-144)Type of material - article, component partPublish date - 2023Language - englishCOBISS.SI-ID - 140833539
Author
Azari, Mahdieh |
Dehgardi, Nasrin |
Došlić, Tomislav
Topics
vertex degree |
irregularity |
tree |
unicyclic graph |
lower bound |
stopnja grafa |
nepravilnost |
drevo |
uniciklični grafi |
spodnja meja
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Database name | Field | Year |
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Links to authors' personal bibliographies | Links to information on researchers in the SICRIS system |
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Azari, Mahdieh | ![]() |
Dehgardi, Nasrin | ![]() |
Došlić, Tomislav | 55262 |
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