On compositions of numbers and graphs

TL;DR

This paper introduces open problems related to compositions of numbers and graphs, highlighting their significance in discrete mathematics and graph theory, and providing context through exercises and recent literature.

Contribution

It formulates new, unresolved problems in graph compositions, expanding the scope of discrete mathematics and graph theory research.

Findings

Proposes new problems in graph compositions

Connects problems to recent research and exercises

Highlights importance in discrete mathematics

Abstract

The main purpose of this note is to pose a couple of problems which are easily formulated thought some seem to be not yet solved. These problems are of general interest for discrete mathematics including a new twig of a bough of theory of graphs i.e. a given graph compositions. The problems result from and are served in the entourage of series of exercises with hints based predominantly on the second reference and other related recent papers.