Hello Readers

Hope you are doing well.

Today i am writing a short note on Pseudo-graph. Generally people get confused about the definition of pseudo-graph.

Pseudo word refers to spurious i.e. `mithya’.

Some authors say that a graph without multiple edges and self-loops is called  pseudo-graph while others produce the examples of pseudo-graph as a graph with selfloops only or multiple edges only and sometimes both.

I researched a lot on this topic and what i understood that

Pseudo graph is a graph that is not simple graph.

Simple Graph: A graph that does not have self-loops as well as multiple edges is called simple graph.

So if G has self-loops, implies G is not simple, implies pseudo graph.

If G has multiple edges,  implies G is not simple, implies pseudo graph.

If G  has multiple edges and self-loops both,  implies G is not simple, implies pseudo graph.

So don’t get confused, follow the following definition:

A graph that has either self-loops or multiple edges or both, is called pseudo graph.

If this post is satisfactory then like and comment.

Stay learn, Stay happy

Thank You

Dr. Namita Tiwari