Electrical Engineering (EE) Exam > Electrical Engineering (EE) Questions > Two labeled trees are isomorphic if _________...
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Two labeled trees are isomorphic if ____________
- a)graphs of the two trees are isomorphic
- b)the two trees have same label
- c)graphs of the two trees are isomorphic and the two trees have the same label
- d)graphs of the two trees are cyclic
Correct answer is option 'C'. Can you explain this answer?
Most Upvoted Answer
Two labeled trees are isomorphic if ____________a)graphs of the two tr...
Isomorphism in Labeled Trees
Labeled trees are trees in which each node is assigned a label or a value. Two labeled trees are isomorphic if they have the same structure and the same labels on the nodes. In other words, they are identical except for the labels assigned to the nodes.
Graph Isomorphism
Graph isomorphism is a concept in graph theory that describes when two graphs are structurally identical. A graph is a collection of vertices or nodes and edges that connect them. If two graphs have the same number of vertices and edges, and the edges connect the vertices in the same way, then they are isomorphic.
Isomorphism in Labeled Trees and Graphs
Labeled trees can be represented as graphs, where the nodes of the tree become vertices of the graph, and the edges of the tree become edges of the graph. Therefore, if two labeled trees are isomorphic, then their corresponding graphs are also isomorphic.
Answer Explanation
Option C is the correct answer because it includes both the conditions for isomorphism in labeled trees and graphs. Two labeled trees are isomorphic if their corresponding graphs are isomorphic and they have the same labels on the nodes. Therefore, option C combines both the necessary conditions for isomorphism in labeled trees and graphs, making it the correct choice.
Conclusion
In conclusion, isomorphism in labeled trees and graphs is a concept that requires both a structural match and identical node labels. Option C in this question combines both of these conditions, making it the correct answer.
Labeled trees are trees in which each node is assigned a label or a value. Two labeled trees are isomorphic if they have the same structure and the same labels on the nodes. In other words, they are identical except for the labels assigned to the nodes.
Graph Isomorphism
Graph isomorphism is a concept in graph theory that describes when two graphs are structurally identical. A graph is a collection of vertices or nodes and edges that connect them. If two graphs have the same number of vertices and edges, and the edges connect the vertices in the same way, then they are isomorphic.
Isomorphism in Labeled Trees and Graphs
Labeled trees can be represented as graphs, where the nodes of the tree become vertices of the graph, and the edges of the tree become edges of the graph. Therefore, if two labeled trees are isomorphic, then their corresponding graphs are also isomorphic.
Answer Explanation
Option C is the correct answer because it includes both the conditions for isomorphism in labeled trees and graphs. Two labeled trees are isomorphic if their corresponding graphs are isomorphic and they have the same labels on the nodes. Therefore, option C combines both the necessary conditions for isomorphism in labeled trees and graphs, making it the correct choice.
Conclusion
In conclusion, isomorphism in labeled trees and graphs is a concept that requires both a structural match and identical node labels. Option C in this question combines both of these conditions, making it the correct answer.
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Two labeled trees are isomorphic if ____________a)graphs of the two tr...
The number of labeled trees of k number of vertices is kn-2. Two labeled trees are isomorphic if their graphs are isomorphic and the corresponding points of the two trees have the same labels.
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Two labeled trees are isomorphic if ____________a)graphs of the two trees are isomorphicb)the two trees have same labelc)graphs of the two trees are isomorphic and the two trees have the same labeld)graphs of the two trees are cyclicCorrect answer is option 'C'. Can you explain this answer? for Electrical Engineering (EE) 2025 is part of Electrical Engineering (EE) preparation. The Question and answers have been prepared according to the Electrical Engineering (EE) exam syllabus. Information about Two labeled trees are isomorphic if ____________a)graphs of the two trees are isomorphicb)the two trees have same labelc)graphs of the two trees are isomorphic and the two trees have the same labeld)graphs of the two trees are cyclicCorrect answer is option 'C'. Can you explain this answer? covers all topics & solutions for Electrical Engineering (EE) 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Two labeled trees are isomorphic if ____________a)graphs of the two trees are isomorphicb)the two trees have same labelc)graphs of the two trees are isomorphic and the two trees have the same labeld)graphs of the two trees are cyclicCorrect answer is option 'C'. Can you explain this answer?.
Two labeled trees are isomorphic if ____________a)graphs of the two trees are isomorphicb)the two trees have same labelc)graphs of the two trees are isomorphic and the two trees have the same labeld)graphs of the two trees are cyclicCorrect answer is option 'C'. Can you explain this answer? for Electrical Engineering (EE) 2025 is part of Electrical Engineering (EE) preparation. The Question and answers have been prepared according to the Electrical Engineering (EE) exam syllabus. Information about Two labeled trees are isomorphic if ____________a)graphs of the two trees are isomorphicb)the two trees have same labelc)graphs of the two trees are isomorphic and the two trees have the same labeld)graphs of the two trees are cyclicCorrect answer is option 'C'. Can you explain this answer? covers all topics & solutions for Electrical Engineering (EE) 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Two labeled trees are isomorphic if ____________a)graphs of the two trees are isomorphicb)the two trees have same labelc)graphs of the two trees are isomorphic and the two trees have the same labeld)graphs of the two trees are cyclicCorrect answer is option 'C'. Can you explain this answer?.
Solutions for Two labeled trees are isomorphic if ____________a)graphs of the two trees are isomorphicb)the two trees have same labelc)graphs of the two trees are isomorphic and the two trees have the same labeld)graphs of the two trees are cyclicCorrect answer is option 'C'. Can you explain this answer? in English & in Hindi are available as part of our courses for Electrical Engineering (EE).
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Here you can find the meaning of Two labeled trees are isomorphic if ____________a)graphs of the two trees are isomorphicb)the two trees have same labelc)graphs of the two trees are isomorphic and the two trees have the same labeld)graphs of the two trees are cyclicCorrect answer is option 'C'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of
Two labeled trees are isomorphic if ____________a)graphs of the two trees are isomorphicb)the two trees have same labelc)graphs of the two trees are isomorphic and the two trees have the same labeld)graphs of the two trees are cyclicCorrect answer is option 'C'. Can you explain this answer?, a detailed solution for Two labeled trees are isomorphic if ____________a)graphs of the two trees are isomorphicb)the two trees have same labelc)graphs of the two trees are isomorphic and the two trees have the same labeld)graphs of the two trees are cyclicCorrect answer is option 'C'. Can you explain this answer? has been provided alongside types of Two labeled trees are isomorphic if ____________a)graphs of the two trees are isomorphicb)the two trees have same labelc)graphs of the two trees are isomorphic and the two trees have the same labeld)graphs of the two trees are cyclicCorrect answer is option 'C'. Can you explain this answer? theory, EduRev gives you an
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