On Degree Sequence of Total Graphs and the Order of the Graphs
Title
On Degree Sequence of Total Graphs and the Order of the Graphs
Description
In this dissertation we discuss about the degree sequence of total graphs of some general graphs. A total graph of G, denoted by T(G) has vertex set as the union of vertices and edges in G and vertices are adjacent in T(G) if they are adjacent or incident in G. We try to obtain the degree sequence of total graphs of particular graphs like complete graph, path, cycle, wheel and star, from the number of vertices of the given graph (without directly drawing the total graph). We also explain the decomposition of T(G) into G and K_(d_i )s where dis are degrees of each of the vertices in G, moreover discuss about the degree sequence of T(G)??T(Ge).
Creator
Thomas Jijo
Source
Mathematics
Date
Collection
Citation
Thomas Jijo , “On Degree Sequence of Total Graphs and the Order of the Graphs,” CHRIST (Deemed To Be University) Institutional Repository, accessed September 8, 2024, https://archives.christuniversity.in/items/show/1009.