Solutions of Detour Distance Graph Equations

Abstract

Graph theory is a useful mathematical structure used to model pairwise relations between sensor nodes in wireless sensor networks. Graph equations are nothing but equations in which the unknown factors are graphs. Many problems and results in graph theory can be formulated in terms of graph equations. In this paper, we solved some graph equations of detour two-distance graphs, detour three-distance graphs, detour antipodal graphs involving with the line graphs.

Keywords

• distance graphs
• two-distance graphs
• three-distance graphs
• antipodal graph
• cycle
• line graph