Turn on thread page Beta
    • Thread Starter

    First, is it considered a chinese postman method when there are more than 2 odd vertices or is it called the route inspection algorithm?

    And, is it still considered semi-eulerian with 4 odd vertices? Or is it only 2?

    Last question, in the route inspection algorithm, the edges with odd degrees must be paired up.
    2 odd vertices = 1 possible pairing.
    4 odd verticies = 3 possible pairings.
    6 odd verticies = 15 pairings.
    8 odd vertices = 105 vertices.

    How do I calculate the number of possible pairings? What is the formula?

    Thank you and I appreciate your help.
    • Study Helper

    Study Helper
    To be semi-Eulerian there must be 2 nodes with odd order.

    You don't need to know how many pairings there are. It's a natural question to ask though.


    \displaystyle \frac{n!}{2^{n/2} (n/2)!}}
    • Thread Starter

    Thanks, I really appreciate your help!
Submit reply
Turn on thread page Beta
Updated: January 4, 2013

University open days

  • Southampton Solent University
    All faculties Undergraduate
    Sun, 18 Nov '18
  • University of Bradford
    All faculties Undergraduate
    Wed, 21 Nov '18
  • Buckinghamshire New University
    All Faculties Postgraduate
    Wed, 21 Nov '18
Black Friday: Yay or Nay?
Useful resources

Make your revision easier


Maths Forum posting guidelines

Not sure where to post? Read the updated guidelines here


How to use LaTex

Writing equations the easy way


Best calculators for A level Maths

Tips on which model to get

Student revising

Study habits of A* students

Top tips from students who have already aced their exams

Study Planner

Create your own Study Planner

Never miss a deadline again

Polling station sign

Thinking about a maths degree?

Chat with other maths applicants

Can you help? Study help unanswered threads

Groups associated with this forum:

View associated groups

The Student Room, Get Revising and Marked by Teachers are trading names of The Student Room Group Ltd.

Register Number: 04666380 (England and Wales), VAT No. 806 8067 22 Registered Office: International House, Queens Road, Brighton, BN1 3XE

Write a reply...
Reputation gems: You get these gems as you gain rep from other members for making good contributions and giving helpful advice.