1
GATE CSE 2021 Set 1
+2
-0.67
Let G be a group order 6, and H be a subgroup of G such that 1 < |H| < 6. Which one of the following options is correct?
A
G is always cyclic, but H may not be cyclic.
B
G may not be cyclic, but H is always cyclic.
C
Both G and H are always cyclic.
D
Both G and H may not be cyclic.
2
GATE CSE 2021 Set 1
Numerical
+2
-0.67
In an undirected connected planar graph G, there are eight vertices and five faces. The number of edges in G is ______
3
GATE CSE 2020
Numerical
+2
-0.67
Graph G is obtained by adding vertex s to K3,4 and making s adjacent to every vertex of K3,4. The minimum number of colours required to edge-colour G is _____.
4
GATE CSE 2015 Set 2
+2
-0.6
In a connected graph, bridge is an edge whose removal disconnects a graph. Which one of the following statements is true?
A
A tree has no bridges
B
A bridge cannot be part of a simple cycle
C
Every edge of a clique with size $$\ge 3$$ is a bridge (A clique is any complete sub-graph of a graph )
D
A graph with bridges cannot have a cycle
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