Hereby is a ppt for isomorphism in discrete mathematics

1. Isomorphism in Graph Theory
A simple understanding of graph
isomorphism

2. Definition
• Two graphs are isomorphic if there exists a
one-to-one correspondence between their
vertices and edges, preserving adjacency
relationships.

3. Basic Graphs & Conditions
• - Same number of vertices
• - Same number of edges
• - Degree of corresponding vertices should
match
• - Structure should be preserved

4. Real-World Applications
• - Chemical compound modeling (e.g.,
molecular structures)
• - Network security (detecting similar network
topologies)
• - Pattern recognition and image processing
• - Social network analysis

5. Thank You!
• Any questions?

6. Graphs G and H

7. What is Isomorphism?