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2 Discussiones Mathematicae Graph Theory

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On the Total Graph of Mycielski Graphs, Central Graphs and Their Covering Numbers

100%

Patil H. P. , Pandiya Raj R.

Discussiones Mathematicae Graph Theory

2013

tom 33

nr 2

361-371

The technique of counting cliques in networks is a natural problem. In this paper, we develop certain results on counting of triangles for the total graph of the Mycielski graph or central graph of star as well as completegraph families. Moreover, we discuss the upper bounds for the number of triangles in the Mycielski and other well known transformations of graphs. Finally, it is shown that the achromatic number and edge-covering number of the transformations mentioned above are equated.

A Note on Total Graphs

70%

Forouhandeh S. F. , Jafari Rad N. , Vaqari Motlagh B. H. , Patil H. P. , Pandiya Raj R.

Discussiones Mathematicae Graph Theory

2015

tom 35

nr 3

585-587

Erratum Identification and corrections of the existing mistakes in the paper On the total graph of Mycielski graphs, central graphs and their covering numbers, Discuss. Math. Graph Theory 33 (2013) 361-371.