Properties of Bipartite Graphs
- Two-Colorability: Bipartite graphs can be colored using two colors such that no two adjacent nodes have the same color.
- No Odd Cycles: A graph is bipartite if and only if it contains no odd-length cycles.
- Matching and Covering: Bipartite graphs are central to the theory of matching and covering in graph theory, which has applications in resource allocation and scheduling.
Bipartite Graphs in Python
Bipartite graphs are a special type of graph where the nodes can be divided into two distinct sets, with no edges connecting nodes within the same set. Every edge connects a node from the first set to a node in the second set.