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A connected graph with no cycles is called:A. TreeB. ForestC. PathD. Bipartite graph

Question

A connected graph with no cycles is called:

A. Tree
B. Forest
C. Path
D. Bipartite graph

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Solution

A connected graph with no cycles is called a Tree.

Explanation:

  1. A tree is defined as a special type of graph that is connected and acyclic, which means it has no cycles.
  2. A forest is a disjoint set of trees; it can comprise multiple connected components, each of which is a tree.
  3. A path refers to a specific type of tree where there are no branches, just a linear sequence of vertices.
  4. A bipartite graph is a graph whose vertices can be divided into two disjoint sets, such that every edge connects a vertex in one set to a vertex in the other.

Thus, the answer is A. Tree.

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