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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
What is subgraph in given graph?
If all the vertices and edges of a graph A are in graph B then graph A is a sub graph of B.
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.
What is Chrono cycle graph?
A chrono cycle graph is a visual representation of chronological events or data points over time. It typically consists of a timeline with specific events marked along it to help visualize patterns or trends that occur over a given period. Chrono cycle graphs are useful for tracking historical changes, project timelines, or any data set with a temporal component.
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.
What is the value of a solubility graph?
The solubility graph shows how much of a solute will dissolve in a given solvent at a given temperature.
When you are given a graph how can you come up with a rational function equation?
You cannot, necessarily. Given a graph of the tan function, you could not.
Given an undirected graph G and an integer k?
Given an undirected graph G=(V,E) and an integer k, find induced subgraph H=(U,F) of G of maximum size (maximum in terms of the number of vertices) such that all vertices of H have degree at least k
What information is given in a line graph?
It depends on the two (or more) variables that are plotted on the graph.
