2022/11/13 by Omran, Ahmed A., Mathad, Veena, Alsinai, Ammar +1
#05C69 #Combinatorics (math.CO) #FOS: Mathematics
paper · doi:10.48550/arxiv.2211.07025
In this paper, new graphs Gτ=(V,E) are constructed from the discrete topological space (X,τ) . Several properties of this type of graphs are given such that: the clique number equals the number of elements in X also the number of pendants vertices, Gτ has no isolated vertices, the minimum degree in Gτ is one and maximum degree equal n-1+∑n-1i=2\binomn-1i , the minimum dominating set is determined and γ(Gτ) is evaluated for Gτ and for corona and join operations between to discrete topological graphs. At what matter β(Gτ)=γ(Gτ) is discussed for Gτ. Also that Gτ is proved a connected graph of order 2n-2 and it has no isolated vertex. Then, rad Gτ and diam (Gτ) are evaluated.