On Combinatorial Problems of Extremal Nature and Games

Released on by Humberto Silva Naves
preview-18

  • On Combinatorial Problems of Extremal Nature and Games Book Detail

  • Author : Humberto Silva Naves
  • Release Date : 2014
  • Publisher :
  • Genre :
  • Pages : 80
  • ISBN 13 :
  • File Size : 15,15 MB
DOWNLOAD BOOK

On Combinatorial Problems of Extremal Nature and Games by Humberto Silva Naves PDF Summary

Book Description: Extremal graph theory is a branch of discrete mathematics and also the central theme of extremal combinatorics. It studies graphs which are extremal with respect to some parameter under certain restrictions. A typical result in extremal graph theory is Mantel's theorem. It states that the complete bipartite graph with equitable parts is the graph the maximizes the number of edges among all triangle-free graphs. One can say that extremal graph theory studies how local properties of a graph influence its global structure. Another fundamental topic in the field of combinatorics is the probabilistic method, which is a nonconstructive method pioneered by Paul Erdos for proving the existence of a prescribed kind of mathematical object. One particular application of the probabilistic method lies in the field of positional games, more specifically Maker-Breaker games. My dissertation focus mainly on various Turan-type questions and their applications to other related areas as well as the employment of the probabilistic method to study extremal problems and positional games.

Disclaimer: www.yourbookbest.com does not own On Combinatorial Problems of Extremal Nature and Games books pdf, neither created or scanned. We just provide the link that is already available on the internet, public domain and in Google Drive. If any way it violates the law or has any issues, then kindly mail us via contact us page to request the removal of the link.

Extremal Combinatorics

Extremal Combinatorics

File Size : 54,54 MB
Total View : 5841 Views
DOWNLOAD

This is a concise, up-to-date introduction to extremal combinatorics for non-specialists. Strong emphasis is made on theorems with particularly elegant and info