A path is closed if the first vertex is the same as the last vertex (i.e., it starts and ends at the same vertex.) A cycle is a simple closed path.
In respect to this, What is the difference between a path and a trail?
As nouns the difference between path and trail
is that path is a trail for the use of, or worn by, pedestrians while trail is the track or indication marking the route followed by something that has passed, such as the footprints of animal on land or the contrail of an airplane in the sky.
Considering this, What is a closed path for electrons to flow through? A closed path through which electricity flows is called a circuit.
Accordingly What is the difference between a closed trail and a cycle? A cycle is a closed path. That is, we start and end at the same vertex. In the middle, we do not travel to any vertex twice. Circuits refer to the closed trails, meaning we start and end at the same vertex.
What is the poet experiencing in the poem closed path? In the poem Closed Path by Rabindranath Tagore, the poet feels he has exhausted all his creative energy. He thinks that his writing days are over and he should wait quietly for the end of his days too. But then, he feels inspired to compose music when he thought he had lost his ability to write.
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Is every walk a trail?
Every walk is a trail but every path is not a trail. Both paths and walks are trails.
Can a path have repeated edges?
Then there can not be a repeated edge in a path. If an edge occurs twice in the same path, then both of its endpoints would also occur twice among the visited vertices.
What is a Rudrata path?
2. Rudrata Path/Cycle. Input: A graph G. The undirected and directed variants refer to the type of graph. Property: There is a path/cycle in G that uses each vertex exactly once.
Why is closed path required for the flow of current?
Solution : Closed path is required for the flow of current because if the path is not closed, the circuit will break which will mean that between the two ends air is present. Since we know that air is an insulator, it will not allow the flow of charges through it and the current will not flow.
Why does current flow in a closed circuit?
Unlike attracting charges such as repelling the same charges, they are repelled from the negative and drawn to the positive and we know that electrons have the negative charge. So this is how current flows in a closed circuit.
Why does current only flows in a closed circuit?
This is because the force applied at one end is higher than the opposition forces acting on the balls from other end of pipe. Hence for the flow of charges there should be a force. This is created in electrical circuits by differing the concentration of charges.
Does every closed trail contain a cycle?
Lemma Every closed walk of odd length contains an odd cycle. This is called an odd closed walk. Proof We prove it using strong induction on the length of the walk (i.e. the number of edges).
Can you repeat edges in a path?
Then there can not be a repeated edge in a path. If an edge occurs twice in the same path, then both of its endpoints would also occur twice among the visited vertices.
What is the difference between path and edge?
Adjacent edges are edges that share a common vertex. The degree of a vertex is the number of edges incident with that vertex. A path is a sequence of vertices with the property that each vertex in the sequence is adjacent to the vertex next to it.
Why did the poet think he had come to the end of the voyage closed path?
Answer: In this poem Tagore wants to say that even though he can see and feel that the journey of his is towards the end, he thinks that God knows that there will be a new journey of a new life will be waiting for him.
Why does the poet long for sleep?
Answer: as he lay in the bed trying to sleep,William wordsworth thinks of many nature oriented activities such as the sound of the rain,flock of the sheep pasing by,clear fields ,murmur of bees,and more.
Why does the poet feel like he is at the end of his days?
Answer. Answer: In the end of the poem the poet feels relaxed and thankful to the nature for saving his day from being wasted.
Can paths have cycles?
A path in a graph is a sequence of adjacent edges, such that consecutive edges meet at shared vertices. A path that begins and ends on the same vertex is called a cycle. Note that every cycle is also a path, but that most paths are not cycles.
What is a repeated edge?
In graph theory, multiple edges (also called parallel edges or a multi-edge), are, in an undirected graph, two or more edges that are incident to the same two vertices, or in a directed graph, two or more edges with both the same tail vertex and the same head vertex.
What is path matrix?
The path matrix graph representation: The path matrix is a special matrix/structure that has been used in answering the generalized forms of partially and fully instantiated same generation queries in deductive databases[1–3] and in computing the transitive closure of a database relation.
Can a path be a cycle?
A path in a graph is a sequence of adjacent edges, such that consecutive edges meet at shared vertices. A path that begins and ends on the same vertex is called a cycle. Note that every cycle is also a path, but that most paths are not cycles.