Select the correct alternative from the given choices. A...

Select the correct alternative from the given choices. A sales man travels from one city to another, $\mathrm{A}, \mathrm{B}, \mathrm{C}$ and D with an equal distance of $15 \mathrm{kms}$, and returns to the starting position, the graph indicating his route is (A) A multigraph (B) A pseudo graph (C) A connected graph (D) None of these

Select the correct alternative from the given choices.
A sales man travels from one city to another, $\mathrm{A}, \mathrm{B}, \mathrm{C}$ and D with an equal distance of $15 \mathrm{kms}$, and returns to the starting position, the graph indicating his route is
(A) A multigraph
(B) A pseudo graph
(C) A connected graph
(D) None of these

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Key Concepts

Graph

A graph is a mathematical structure used to model pairwise relations between objects. It consists of vertices (nodes) and edges (connections) and provides a way to represent networks, routes, or relationships in various contexts.

Connected Graph

A connected graph is one in which there is a path between every pair of vertices. This property ensures that, starting from any vertex, every other vertex can be reached via some sequence of edges, which is important in network routing and path planning.

Multigraph

A multigraph is a type of graph in which multiple edges (parallel edges) between the same set of vertices are allowed. This can be used to model scenarios where more than one distinct relationship or connection exists between objects.

Pseudograph

A pseudograph is a graph that permits both multiple edges between vertices and loops (edges that connect a vertex to itself). This concept expands on the idea of multigraphs and can represent more complex relationships where self-connections are possible.

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