Define euler circuit and euler path, Mathematics

Assignment Help:

Define Euler Circuit and Euler Path.  Which of the following graphs have an Euler circuit and Euler path.  

                                                                             878_Define Euler Circuit and Euler Path.png

Ans:  In a graph G, a path is known as an Euler path if it contains each edge of the graph exactly once. An Euler path that is circuit is known as an Euler circuit. In the following, for instance, (a) has an Euler path but no Euler circuit, (b) has both of the Euler circuit and Euler path whereas (c) has none.     

A graph G, comprising more than two vertices of odd degrees, does not possess an Euler path. As the given graph (i) and (ii) both consists of more than two nodes of odd degree, neither (i) nor (ii) has any Euler path or Euler circuit.

1882_Define Euler Circuit and Euler Path 1.png


Related Discussions:- Define euler circuit and euler path

Reduction-types of word problems related to subtraction, Reduction -when t...

Reduction -when the original amount and the balance or remainder are known, to find the part that has been given away. (e.g., there were 15 toffees in a container, and there are

Show that aq= 1/2 perimeter of triangle abc, A circle touches the side BC o...

A circle touches the side BC of a triangle ABC at P and touches AB and AC when produced at Q and R. Show that AQ= 1/2 (perimeter of triangle ABC) Ans:    Since the length o

Differentiation, how to write assignment of the application of differentiat...

how to write assignment of the application of differentiation in science

Find the second derivative of the equation, Find the second derivative of t...

Find the second derivative of the below given equation Y= e x cosx

Example of subtraction of fractions, Example of Subtraction of Fractions: ...

Example of Subtraction of Fractions: 1/3 + 1/6 + 1/8 = ____ Using trial & error we could search that 24 is the LCD or smallest number in which 3, 6, and 8 will all divide w

Properties of cross product - vector, Properties of Cross product If u,...

Properties of Cross product If u, v and w are vectors and c is a number then u → * v → = -v → * w →                                                       (cu → ) * v → =

Rental car agency has 50 cars, Rental car agency has 50 cars. Rental rate i...

Rental car agency has 50 cars. Rental rate in winter is 60%. What is probability that in give winter month the rental rate is fewer than 35 cars rented? Use normal distribution to

Write Your Message!

Captcha
Free Assignment Quote

Assured A++ Grade

Get guaranteed satisfaction & time on delivery in every assignment order you paid with us! We ensure premium quality solution document along with free turntin report!

All rights reserved! Copyrights ©2019-2020 ExpertsMind IT Educational Pvt Ltd