A Simple Proof of an Inequality Connecting the Alternating Number of Independent Sets and the Decycling Number

Mathematics – Combinatorics

Scientific paper

Rate now

  [ 0.00 ] – not rated yet Voters 0   Comments 0

Details

4 pages

Scientific paper

If alpha=alpha(G) is the maximum size of an independent set and s_{k} equals the number of stable sets of cardinality k in graph G, then I(G;x)=s_{0}+s_{1}x+...+s_{alpha}x^{alpha} is the independence polynomial of G. In this paper we provide an elementary proof of the inequality claiming that the absolute value of I(G;-1) is not greater than 2^phi(G), for every graph G, where phi(G) is its decycling number.

No associations

LandOfFree

Say what you really think

Search LandOfFree.com for scientists and scientific papers. Rate them and share your experience with other people.

Rating

A Simple Proof of an Inequality Connecting the Alternating Number of Independent Sets and the Decycling Number does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with A Simple Proof of an Inequality Connecting the Alternating Number of Independent Sets and the Decycling Number, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and A Simple Proof of an Inequality Connecting the Alternating Number of Independent Sets and the Decycling Number will most certainly appreciate the feedback.

Rate now

     

Profile ID: LFWR-SCP-O-445052

  Search
All data on this website is collected from public sources. Our data reflects the most accurate information available at the time of publication.