Cordial Languages and Cordial Numbers

Abstract

The concept of cordial labeling in graphs motivated us to introduce cordial words, cordial languages and cordial numbers. We interpret the notion of cordial labeling in Automata and thereby study the corresponding languages. In this paper we develop a new sequence of numbers called the cordial numbers in number theory using the labeling techniques in graph theory on automata theory.

Keywords

• Graphs
• Paths
• Cycles
• Labeling
• Automata
• Languages
• Binary