@article {
author = {Nasiri, R. and Ellahi, H. R. and Gholami, A. and Fath-Tabar, G. H.},
title = {The irregularity and total irregularity of Eulerian graphs},
journal = {Iranian Journal of Mathematical Chemistry},
volume = {9},
number = {2},
pages = {101-111},
year = {2018},
publisher = {University of Kashan},
issn = {2228-6489},
eissn = {2008-9015},
doi = {10.22052/ijmc.2018.44232.1153},
abstract = {For a graph G, the irregularity and total irregularity of G are defined as irr(G)=∑_(uv∈E(G))〖|d_G (u)-d_G (v)|〗 and irr_t (G)=1/2 ∑_(u,v∈V(G))〖|d_G (u)-d_G (v)|〗, respectively, where d_G (u) is the degree of vertex u. In this paper, we characterize all connected Eulerian graphs with the second minimum irregularity, the second and third minimum total irregularity value, respectively.},
keywords = {Eulerian graphs,irregularity,total irregularity,vertex degree},
url = {http://ijmc.kashanu.ac.ir/article_63235.html},
eprint = {http://ijmc.kashanu.ac.ir/article_63235_0809a6de97055b11f063d5835fb9cb61.pdf}
}