1. Limited time only! Sign up for a free 30min personal tutor trial with Chegg Tutors
    Dismiss Notice
Dismiss Notice
Join Physics Forums Today!
The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

Simple graph theory

  1. Oct 29, 2008 #1
    Hello! This question seems simple but I think I'll need your help to prove it.

    Prove that if there are vertices x and y in V(G) such that G contains three independent x-y paths then G contains an even cycle.

    Thank you in advance.
  2. jcsd
  3. Oct 30, 2008 #2


    User Avatar
    Science Advisor

    Hint: The paths are either odd or even.
Share this great discussion with others via Reddit, Google+, Twitter, or Facebook