Jul 29, 2024 · What is Inverse Graph? Inverse of a directed graph G is another directed graph on the same set of vertices with all the edges reversed as present in G. For every directed edge …

In the mathematical field of graph theory, the complement or inverse of a graph G is a graph H on the same vertices such that two distinct vertices of H are adjacent if and only if they are not …

An inverse-graph is a pair (V,) where V is finite non empty set of vertices and is a set of inverse edges. Example 1. As shown in the following figure: the inverse-graph is a pair (V, ) where

Remark 3.1. Proposition 3.1 characterizes the inverse graph of a finite group with all of its elements being self-invertible. In particular, the inverse graphs associated with the following …

In this article, we have reviewed interesting applications of generalized inverses in the area of graph theory. Some of the existing results are rewritten focusing on the role of generalized …

Jan 20, 2023 · In graph theory, an inverse graph is not a commonly defined term; however, the concept of an inverse relationship is pertinent in the context of mathematics and can be …

We will now see a way of producing some very interesting examples of graphs. De nition 1. Let H be a group and let S H. The Cayley graph of H generated by S, denoted Cay(H;S), is the …

In the above example, the equation of the circle centre on the y-axis is given by x2 + (y – 2)2 = 1. To find the equation of the inverse graph of this circle: • swap x and y: y2 + (x – 2)2 = 1 • It is …

Dec 8, 2018 · Previously, inverse problems were solved for $$\varGamma _3$$ by Makhnev and Nirova. In this paper, we study the intersection arrays of distance-regular graph $$\varGamma …

Apr 12, 2012 · Traverse the graph building a set of reversed edges and a list of leaf nodes. Perform a topological sort of the reversed edges using the leaf (which are now root) nodes to …