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Is every tree a bipartite graph?
Yes, every tree ia a bipartite graph (just see wikipedia).
Is tree a connected acyclic graph?
Every tree is a connected directed acylic graph.
What is Difference between tree and spanning tree?
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.
What is krushkal algorithm?
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.
An undirected graph becomes what when it is connected and contains no cycles or self loops?
Tree (since tree is connected acyclic graph)
Is tree a bipartite graph?
Yes. A graph is bipartite if it contains no odd cycles. Since a tree contains no cycles at all, it is bipartite.
Prove that every tree with two or more vertices is bichromatic?
Prove that the maximum vertex connectivity one can achieve with a graph G on n. 01. Define a bipartite graph. Prove that a graph is bipartite if and only if it contains no circuit of odd lengths. Define a cut-vertex. Prove that every connected graph with three or more vertices has at least two vertices that are not cut vertices. Prove that a connected planar graph with n vertices and e edges has e - n + 2 regions. 02. 03. 04. Define Euler graph. Prove that a connected graph G is an Euler graph if and only if all vertices of G are of even degree. Prove that every tree with two or more vertices is 2-chromatic. 05. 06. 07. Draw the two Kuratowski's graphs and state the properties common to these graphs. Define a Tree and prove that there is a unique path between every pair of vertices in a tree. If B is a circuit matrix of a connected graph G with e edge arid n vertices, prove that rank of B=e-n+1. 08. 09.
Define tree in data structure?
Tree is directed, cycle-less, connected graph.
What is spanning tree in data structure?
A spanning tree is a tree associated with a network. All the nodes of the graph appear on the tree once. A minimum spanning tree is a spanning tree organized so that the total edge weight between nodes is minimized.
What does a mathematical tree look like?
In the area known as graph theory, a tree has nodes and edges joining the nodes. A tree is a type of graph which is connected (you can get from each node to every other node by following the edges), but has no cycles (you can't follow edges around in a circle). There is more, including a picture, here: http://en.wikipedia.org/wiki/Tree_(graph_theory) Trees have uses in computer science.
What types of data tables are available?
t chart,circle graph,bar graph,picto graph,scatter plot,stem and tree plot
What is a rooted tree in graph theory?
A tree in which one vertex called the root, is distinguished from all the others is called a rooted tree.
