# On Specific Properties Common to a Graph and its Complement

### Title

On Specific Properties Common to a Graph and its Complement

### Description

In this dissertation we study some specific properties common to a graph and its complement. Here we compare the independence number of a graph with the chromatic number of its complement and find some relation between these properties for cycle, path, wheel, Berge graph, star and for some other graphs. We also find the relation between the independence number of a graph and its complement with its order.

### Creator

Alex James

### Source

Mathematics

### Date

### Collection

### Citation

Alex James, “On Specific Properties Common to a Graph and its Complement,”

*CHRIST (Deemed To Be University) Institutional Repository*, accessed September 8, 2024, https://archives.christuniversity.in/items/show/1006.