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What is a cycle in graph theory?
If the graph start and end with same vertex and no other vertex can be repeated then it is called trivial graph.
The length of one complete repetition of the cycle is called the what of the graph?
The length of one complete repetition of the cycle in a graph is called the period. In the context of periodic functions, the period is the distance along the x-axis after which the function's values repeat. For example, in trigonometric functions like sine and cosine, the period is typically (2\pi).
Why is the cell cycle represented by pie graph or circle?
The cell cycle is often represented by a pie graph or circle to illustrate its continuous and cyclical nature. Each segment of the circle corresponds to a specific phase—such as G1, S, G2, and M—highlighting how these phases are interconnected and occur in a repeated sequence. This visual representation emphasizes the progression and balance of activities within the cycle, making it easier to understand the dynamic processes of cell division and growth.
What is the function of a period?
Period of a Periodic Function is the horizontal distance required for the graph of that periodic function to complete one cycle.
How do you know if a graph you are looking at shows a periodic function?
A graph represents a periodic function if it exhibits a repeating pattern over regular intervals, known as the period. You can identify this by observing if the graph returns to the same values at consistent distances along the x-axis. Additionally, the function should maintain the same shape and characteristics during each cycle. If you can find a segment of the graph that can be translated horizontally to match itself, it likely indicates periodicity.
What is the cycle size of the given graph?
The cycle size of a graph is the number of vertices in the smallest cycle in the graph.
What is a negative cycle in Graph?
In a weighed graph, a negative cycle is a cycle whose sum of edge weights is negative
Is cycle and circuit in graph theory same?
No its not. A cycle is closed trail
How does the concept of a vertex cover relate to the existence of a Hamiltonian cycle in a graph?
In graph theory, a vertex cover is a set of vertices that covers all edges in a graph. The concept of a vertex cover is related to the existence of a Hamiltonian cycle in a graph because if a graph has a Hamiltonian cycle, then its vertex cover must include at least two vertices from each edge in the cycle. This is because a Hamiltonian cycle visits each vertex exactly once, so the vertices in the cycle must be covered by the vertex cover. Conversely, if a graph has a vertex cover that includes at least two vertices from each edge, it may indicate the potential existence of a Hamiltonian cycle in the graph.
How does the graph of the cosine function differ from a graph of a sine function?
the graph of cos(x)=1 when x=0the graph of sin(x)=0 when x=0.But that only tells part of the story. The two graphs are out of sync by pi/2 radians (or 90°; also referred to as 1/4 wavelength or 1/4 cycle). One cycle is 2*pi radians (the distance for the graph to get back where it started and repeat itself.The cosine graph is 'ahead' (leads) of the sine graph by 1/4 cycle. Or you can say that the sine graph lags the cosine graph by 1/4 cycle.
What is the significance of a Hamiltonian cycle in a bipartite graph and how does it impact the overall structure and connectivity of the graph?
A Hamiltonian cycle in a bipartite graph is a cycle that visits every vertex exactly once and ends at the starting vertex. It is significant because it provides a way to traverse the entire graph efficiently. Having a Hamiltonian cycle in a bipartite graph ensures that the graph is well-connected and has a strong structure, as it indicates that there is a path that visits every vertex without repeating any. This enhances the overall connectivity and accessibility of the graph, making it easier to analyze and navigate.
What is a cycle in graph theory?
If the graph start and end with same vertex and no other vertex can be repeated then it is called trivial graph.
Graph of Product life Cycle of Coca Cola?
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What is a Bethe lattice?
A Bethe lattice is a kind of connected cycle-free graph.
This graph is excellent for showing business cycles?
Unfortunately the graph does not show.. But, i can tell you that business cycle is divided into: 1) introduction - start of the graph 2) growth - graph goes up 3) maturity - graph is static and slowly pointing doen 4)decline - graph starts to go down.. if your graph is this way, then the answer is yes..
What kind of a data set that cannot become a tree and can become a general graph?
A cycle?
Define tree in data structure?
Tree is directed, cycle-less, connected graph.
