Virtual Labs

Which of the following is not a type of graph in computer science?

a: undirected graph Explanation

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b: bar graph Explanation

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c: directed graph Explanation

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d: weighted graph Explanation

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What is vertex coloring of a graph?

a: A condition where any two vertices having a common edge should not have same color Explanation

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b: A condition where any two vertices having a common edge should always have same color Explanation

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c: A condition where all vertices should have a different color Explanation

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d: A condition where all vertices should have same color Explanation

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In a properly vertex-coloured graph, what can you say about the colours of connected vertices (vertices with an edge between them)?

a: They must all have the same colour Explanation

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b: They must all have different colours Explanation

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c: They can have any colour Explanation

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d: None of the above Explanation

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A graph G has a chromatic number of 2. What can you conclude about G?

a: G is a complete graph. Explanation

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b: G is a bipartite graph. Explanation

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c: G can only be coloured with exactly 2 colours. Explanation

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d: G must have an even number of vertices. Explanation

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A friend claims they coloured a graph with 10 vertices and only needed 1 colour. Is this possible?

a: No, this is not possible for any graph with more than 1 vertex Explanation

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b: Yes, it's always possible to colour any graph with just 1 colour Explanation

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c: It depends on the specific connections in the graph Explanation

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d: Maybe, but it's very unlikely. Explanation

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What is the minimum number of colors needed to properly color a cycle graph with 5 vertices (C5)?

a: 2 colors Explanation

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b: 3 colors Explanation

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c: 4 colors Explanation

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d: 5 colors Explanation

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What is the chromatic number of a complete graph with n vertices (Kn)?

a: 1 Explanation

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b: 2 Explanation

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c: n/2 Explanation

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d: n Explanation

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Graph Colouring