A graph is said to be bipartite if all its vertices can be partitioned into two

Question

A graph is said to be bipartite if all its vertices can be partitioned into two disjoint subsetsX and Y so that every edge connects a vertex inx with a vertex in Y. (One can also say that a graph is bipartite if its vertices can be colored in two colors so that every edge has its vertices colored in different colors, such graphs are also called 2-colorable.) For example, graph (i) is bipartite while graph (ii) is not. ab Il a. Design a DFS-based algorithm for checking whether a graph is bipartite. b. Design a BFs-based algorithm for checking whether a graph is bipartite.

Explanation / Answer

a.DFS-based

b.BFS-based

1. Assign RED color to the source vertex (putting into set U).

2. Color all the neighbors with BLUE color (putting into set V).

3. Color all neighbor

Related Questions

Navigate

• Browse (All)
• Browse A
• Subjects

---

---

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.