Graph contains nodes and edges without following any rule.Whereas tree is a type of graph which must follow some rules.
2 popular methods are BFS(breath first search),DFS(depth first search).
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Use a simple DFS/BFS traversal. If you have gone through all nodes, the graph is connected.
One efficient way to find all cycles in an undirected graph is by using the Depth-First Search (DFS) algorithm. By performing a DFS traversal on the graph and keeping track of the visited nodes and back edges, you can identify and extract all the cycles present in the graph. This method helps in efficiently identifying and listing all the cycles within the graph.
Slope = change in y (distance) / change in x (time). If the graph is not a straight line then either apply the above formula to the tangent at the point of interest or differentiate the equation of the graph.
differentiate with respect to time.
Breadth-first search
Dijkstra's algorithm is a more advanced version of breadth-first search in graph traversal. While both algorithms explore nodes in a graph, Dijkstra's algorithm considers the weight of edges to find the shortest path, whereas breadth-first search simply explores nodes in a level-by-level manner.
Differentiate the graph with respect to time.
You can use different colors or symbols to differentiate between the different plots.
n-k-1
The line and the bar graph is used to describe a graph that compares two sets of data.
sinusoidal
Breadth-first search is a graph traversal algorithm that explores all the neighboring nodes at the current depth before moving on to nodes at the next depth. This process continues until all nodes have been visited. Implementing breadth-first search helps in finding the shortest path between two nodes in a graph. It is significant because it guarantees the shortest path and can be used in various applications such as network routing, social network analysis, and web crawling.