THE IRREGULARITY AND TOTAL IRREGULARITY OF EULERIAN GRAPHS

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NASIRI R.; ELLAHI H.R.; GHOLAMI A.; FATH TABAR G.H.

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Journal: Iranian Journal of Mathematical Chemistry Year:2018 | Volume:9 | Issue:2 Page(s): 101-111

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Information Journal Paper

Title

THE IRREGULARITY AND TOTAL IRREGULARITY OF EULERIAN GRAPHS

Author(s)

NASIRI R. | ELLAHI H.R. | GHOLAMI A. | FATH TABAR G.H. | Issue Writer Certificate

Keywords

EULERIAN GRAPHS

IRREGULARITY

TOTAL IRREGULARITY

VERTEX DEGREE

Abstract

For an arbitrary graph G, the IRREGULARITY and total IRREGULARITY of G are defined as irr(G) = åuvÎE(G) |dG(u) − dG(v)| and irrt(G)=1/2åu,vÎv(g) |dG(u)− dG(v)|, respectively, where dG(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, respectively.

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APA: Copy

NASIRI, R., ELLAHI, H.R., GHOLAMI, A., & FATH TABAR, G.H.. (2018). THE IRREGULARITY AND TOTAL IRREGULARITY OF EULERIAN GRAPHS. IRANIAN JOURNAL OF MATHEMATICAL CHEMISTRY, 9(2), 101-111. SID. https://sid.ir/paper/715866/en

Vancouver: Copy

NASIRI R., ELLAHI H.R., GHOLAMI A., FATH TABAR G.H.. THE IRREGULARITY AND TOTAL IRREGULARITY OF EULERIAN GRAPHS. IRANIAN JOURNAL OF MATHEMATICAL CHEMISTRY[Internet]. 2018;9(2):101-111. Available from: https://sid.ir/paper/715866/en

IEEE: Copy

R. NASIRI, H.R. ELLAHI, A. GHOLAMI, and G.H. FATH TABAR, “THE IRREGULARITY AND TOTAL IRREGULARITY OF EULERIAN GRAPHS,” IRANIAN JOURNAL OF MATHEMATICAL CHEMISTRY, vol. 9, no. 2, pp. 101–111, 2018, [Online]. Available: https://sid.ir/paper/715866/en

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