Euler Graph in detail
Answers
Answer:
Tttto nomoskar na kore parlam na je ami ei pratham sunlam nomoskar nomoskar nomoskar nomoskar na ken ta hale ki hobe ta niye prasna tulechen ashityo bandyopadhyay o tar shtri o dui bochor age ei dine dine 6 nomoskar nomoskar kore ei sab katha bole fellam nomoskar nomoskar nomoskar kore 8 lesson 5
Answer:
Euler Graph - A connected graph G is called an Euler graph, if there is a closed trail which includes every edge of the graph G. ... A connected graph G is an Euler graph if and only if all vertices of G are of even degree, and a connected graph G is Eulerian if and only if its edge set can be decomposed into cycles.
Step-by-step explanation:
Euler Graph in Graph Theory- An Euler Graph is a connected graph whose all vertices are of even degree. ... Euler Path and Euler Circuit- Euler Path is a trail in the connected graph that contains all the edges of the graph. A closed Euler trail is called as an Euler Circuit.
Eulerian Path is a path in graph that visits every edge exactly once. Eulerian Circuit is an Eulerian Path which starts and ends on the same vertex. A graph is said to be eulerian if it has a eulerian cycle. We have discussed eulerian circuit for an undirected graph.
Properties. An undirected graph has an Eulerian cycle if and only if every vertex has even degree, and all of its vertices with nonzero degree belong to a single connected component. An undirected graph can be decomposed into edge-disjoint cycles if and only if all of its vertices have even degree.
A graph with an Eulerian trail is considered Eulerian. The graph on the left is Eulerian.