What is vertex coloring of a graph?
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- A condition where any two vertices having a common edge should not have same color
- A condition where any two vertices having a common edge should always have same color
- A condition where all vertices should have a different color
- A condition where all vertices should have same color
Explanation
Vertex coloring is a way of assigning colors to the vertices of a graph such that:
- Any two adjacent vertices (connected by an edge) have different colors.
- The minimum number of colors is used.
This is also known as "proper vertex coloring" or "graph coloring".
It's a fundamental concept in graph theory, used to solve various problems in computer science, networking, and other fields.
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