Question Description
The line graph L(G) of a simple graph G is defined as follows: • There is exactly one vertex v(e) in L(G) for each edge e in G. • For any two edges e and e’ in G, L(G) has an edge between v(e) and v(e’), if and only if eand e’ are incident with the same vertex in G.Which of the following statements is/are TRUE?(P) The line graph of a cycle is a cycle.(Q) The line graph of a clique is a clique.(R) The line graph of a planar graph is planar.(S) The line graph of a tree is a tree.a)P onlyb)P and R onlyc)Ronlyd)P, Q and S onlyCorrect answer is option 'A'. Can you explain this answer? for GATE 2025 is part of GATE preparation. The Question and answers have been prepared according to the GATE exam syllabus. Information about The line graph L(G) of a simple graph G is defined as follows: • There is exactly one vertex v(e) in L(G) for each edge e in G. • For any two edges e and e’ in G, L(G) has an edge between v(e) and v(e’), if and only if eand e’ are incident with the same vertex in G.Which of the following statements is/are TRUE?(P) The line graph of a cycle is a cycle.(Q) The line graph of a clique is a clique.(R) The line graph of a planar graph is planar.(S) The line graph of a tree is a tree.a)P onlyb)P and R onlyc)Ronlyd)P, Q and S onlyCorrect answer is option 'A'. Can you explain this answer? covers all topics & solutions for GATE 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The line graph L(G) of a simple graph G is defined as follows: • There is exactly one vertex v(e) in L(G) for each edge e in G. • For any two edges e and e’ in G, L(G) has an edge between v(e) and v(e’), if and only if eand e’ are incident with the same vertex in G.Which of the following statements is/are TRUE?(P) The line graph of a cycle is a cycle.(Q) The line graph of a clique is a clique.(R) The line graph of a planar graph is planar.(S) The line graph of a tree is a tree.a)P onlyb)P and R onlyc)Ronlyd)P, Q and S onlyCorrect answer is option 'A'. Can you explain this answer?.

Solutions for The line graph L(G) of a simple graph G is defined as follows: • There is exactly one vertex v(e) in L(G) for each edge e in G. • For any two edges e and e’ in G, L(G) has an edge between v(e) and v(e’), if and only if eand e’ are incident with the same vertex in G.Which of the following statements is/are TRUE?(P) The line graph of a cycle is a cycle.(Q) The line graph of a clique is a clique.(R) The line graph of a planar graph is planar.(S) The line graph of a tree is a tree.a)P onlyb)P and R onlyc)Ronlyd)P, Q and S onlyCorrect answer is option 'A'. Can you explain this answer? in English & in Hindi are available as part of our courses for GATE. Download more important topics, notes, lectures and mock test series for GATE Exam by signing up for free.

Here you can find the meaning of The line graph L(G) of a simple graph G is defined as follows: • There is exactly one vertex v(e) in L(G) for each edge e in G. • For any two edges e and e’ in G, L(G) has an edge between v(e) and v(e’), if and only if eand e’ are incident with the same vertex in G.Which of the following statements is/are TRUE?(P) The line graph of a cycle is a cycle.(Q) The line graph of a clique is a clique.(R) The line graph of a planar graph is planar.(S) The line graph of a tree is a tree.a)P onlyb)P and R onlyc)Ronlyd)P, Q and S onlyCorrect answer is option 'A'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of The line graph L(G) of a simple graph G is defined as follows: • There is exactly one vertex v(e) in L(G) for each edge e in G. • For any two edges e and e’ in G, L(G) has an edge between v(e) and v(e’), if and only if eand e’ are incident with the same vertex in G.Which of the following statements is/are TRUE?(P) The line graph of a cycle is a cycle.(Q) The line graph of a clique is a clique.(R) The line graph of a planar graph is planar.(S) The line graph of a tree is a tree.a)P onlyb)P and R onlyc)Ronlyd)P, Q and S onlyCorrect answer is option 'A'. Can you explain this answer?, a detailed solution for The line graph L(G) of a simple graph G is defined as follows: • There is exactly one vertex v(e) in L(G) for each edge e in G. • For any two edges e and e’ in G, L(G) has an edge between v(e) and v(e’), if and only if eand e’ are incident with the same vertex in G.Which of the following statements is/are TRUE?(P) The line graph of a cycle is a cycle.(Q) The line graph of a clique is a clique.(R) The line graph of a planar graph is planar.(S) The line graph of a tree is a tree.a)P onlyb)P and R onlyc)Ronlyd)P, Q and S onlyCorrect answer is option 'A'. Can you explain this answer? has been provided alongside types of The line graph L(G) of a simple graph G is defined as follows: • There is exactly one vertex v(e) in L(G) for each edge e in G. • For any two edges e and e’ in G, L(G) has an edge between v(e) and v(e’), if and only if eand e’ are incident with the same vertex in G.Which of the following statements is/are TRUE?(P) The line graph of a cycle is a cycle.(Q) The line graph of a clique is a clique.(R) The line graph of a planar graph is planar.(S) The line graph of a tree is a tree.a)P onlyb)P and R onlyc)Ronlyd)P, Q and S onlyCorrect answer is option 'A'. Can you explain this answer? theory, EduRev gives you an ample number of questions to practice The line graph L(G) of a simple graph G is defined as follows: • There is exactly one vertex v(e) in L(G) for each edge e in G. • For any two edges e and e’ in G, L(G) has an edge between v(e) and v(e’), if and only if eand e’ are incident with the same vertex in G.Which of the following statements is/are TRUE?(P) The line graph of a cycle is a cycle.(Q) The line graph of a clique is a clique.(R) The line graph of a planar graph is planar.(S) The line graph of a tree is a tree.a)P onlyb)P and R onlyc)Ronlyd)P, Q and S onlyCorrect answer is option 'A'. Can you explain this answer? tests, examples and also practice GATE tests.