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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.


Can the graph of an absolute value be negative?

No.


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).


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 ______________________________________


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.