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In a weighed graph, a negative cycle is a cycle whose sum of edge weights is negative

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16y ago

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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.


Can Dijkstra's algorithm handle negative weights in a graph?

No, Dijkstra's algorithm cannot handle negative weights in a graph.


Is cycle and circuit in graph theory same?

No its not. A cycle is closed trail


What happends to the graph of a line when the slope is negative?

A straight line graph with negative slope slants downward from left to right.


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 would a graph of negative and positive acceleration differ?

This depends on what the graph represents. If it is a graph of velocity on the vertical and time on the horizontal, then if acceleration is at a constant rate, the graph will be a straight line with positive slope (pointing 'up'). If acceleration stops, then the graph will be a horizontal line (zero acceleration or deceleration). If it is deceleration (negative acceleration), then the graph will have negative slope (pointing down).


Can the graph of an absolute value be negative?

No.


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 does a constant negative velocity graph represent in terms of an object's motion?

A constant negative velocity graph represents that the object is moving in the negative direction at a steady speed.


How do you graph a negative bar graph?

just have the numbers going up have a negative -100 l -50 l 0 l ______________________________________


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.