Yes. If it was disconnected, you could remove an edge from the component with the lower chromatic number. This wouldn't affect the chromatic number of the first component.
A tree is a connected graph in which only 1 path exist between any two vertices of the graph i.e. if the graph has no cycles. A spanning tree of a connected graph G is a tree which includes all the vertices of the graph G.There can be more than one spanning tree for a connected graph G.
Kruskal's algorithm is an algorithm in graph theory that finds a minimum spanning tree for a connected weighted graph. This means it finds a subset of the edges that forms a tree that includes every vertex, where the total weight of all the edges in the tree is minimized. If the graph is not connected, then it finds a minimum spanning forest (a minimum spanning tree for each connected component). Kruskal's algorithm is an example of a greedy algorithm.
A graph is a set of vertices which are connected to each other via a set of edges. A tree is a special type of hierarchical graph in which each node may have exactly one "parent" node and any number of "child" nodes, where a parent node is one level closer to the root and a child node is one level further away from the root.
it must be connected in parallel as always
n-k-1
The function is not continuous.
Every tree is a connected directed acylic graph.
Yes, in graph theory, a connected graph is one where there is a path between every pair of vertices, while a strongly connected graph is one where there is a directed path between every pair of vertices.
This question cannot be answered in a sensible way because it is based on a misunderstanding. The dots in a line graph ARE connected. That is what a line graph is. If they are not connected then it is a scatter graph.
No.If the points on the graph are connected then they are already connected so it would be complete waste of time to connect them.
Tree (since tree is connected acyclic graph)
wow. line graph.
A tree is a connected graph in which only 1 path exist between any two vertices of the graph i.e. if the graph has no cycles. A spanning tree of a connected graph G is a tree which includes all the vertices of the graph G.There can be more than one spanning tree for a connected graph G.
either a scatter graph or a line graph xx :)
A histogram is a type of graph where the bars are connected. Not separatted like a regular bar graph.
A weekly connected graph is a type of directed graph in which, for every pair of vertices, there exists a path between them when ignoring the direction of the edges. This means that while the graph may have directed edges, it is possible to traverse from any vertex to any other vertex through a series of edges, regardless of their direction. However, unlike a strongly connected graph, the paths are not required to respect the direction of the edges. In essence, a weekly connected graph ensures that all vertices are part of a single connected component when treated as an undirected graph.
Because their is no lines on the graph to connect the point.