LNCS 2764 The Lovász Number of Random Graphs 1st Edition by Amin Coja Oghlan ISBN 3540380450 9783540380450

LNCS 2764 – The Lovász Number of Random Graphs 1st Edition by Amin Coja-Oghlan – Ebook PDF Instant Download/Delivery. 3540380450, 9783540380450

Full download LNCS 2764 – The Lovász Number of Random Graphs 1st Edition after payment

 

 

Product details:

ISBN 10: 3540380450

ISBN 13: 9783540380450

Author: Amin Coja-Oghlan 

LNCS 2764 – The Lovász Number of Random Graphs 1st Edition: We study the Lovász number ϑ along with two further SDP relaxations ϑ _1/2, ϑ ₂ of the independence number and the corresponding relaxations <span id="MathJax-Element-1-Frame" class="MathJax_SVG" style="box-sizing: inherit; display: inline-block; font-style: normal; font-weight: normal; line-height: normal; font-size: 18px; font-size-adjust: none; text-indent: 0px; text-align: left; text-transform: none; letter-spacing: normal; word-spacing: normal; overflow-wrap: normal; white-space: nowrap; float: none; direction: ltr; max-width: none; max-height: none; min-width: 0px; min-height: 0px; border: 0px; padding: 0px; margin: 0px; position: relative;" tabindex="0" role="presentation" data-mathml="ϑ¯”>ϑ¯, <span id="MathJax-Element-2-Frame" class="MathJax_SVG" style="box-sizing: inherit; display: inline-block; font-style: normal; font-weight: normal; line-height: normal; font-size: 18px; font-size-adjust: none; text-indent: 0px; text-align: left; text-transform: none; letter-spacing: normal; word-spacing: normal; overflow-wrap: normal; white-space: nowrap; float: none; direction: ltr; max-width: none; max-height: none; min-width: 0px; min-height: 0px; border: 0px; padding: 0px; margin: 0px; position: relative;" tabindex="0" role="presentation" data-mathml="ϑ¯1/2″>ϑ¯1/2, <span id="MathJax-Element-3-Frame" class="MathJax_SVG" style="box-sizing: inherit; display: inline-block; font-style: normal; font-weight: normal; line-height: normal; font-size: 18px; font-size-adjust: none; text-indent: 0px; text-align: left; text-transform: none; letter-spacing: normal; word-spacing: normal; overflow-wrap: normal; white-space: nowrap; float: none; direction: ltr; max-width: none; max-height: none; min-width: 0px; min-height: 0px; border: 0px; padding: 0px; margin: 0px; position: relative;" tabindex="0" role="presentation" data-mathml="ϑ¯2″>ϑ¯2 of the chromatic number on random graphs G _n, p . We prove that <span id="MathJax-Element-4-Frame" class="MathJax_SVG" style="box-sizing: inherit; display: inline-block; font-style: normal; font-weight: normal; line-height: normal; font-size: 18px; font-size-adjust: none; text-indent: 0px; text-align: left; text-transform: none; letter-spacing: normal; word-spacing: normal; overflow-wrap: normal; white-space: nowrap; float: none; direction: ltr; max-width: none; max-height: none; min-width: 0px; min-height: 0px; border: 0px; padding: 0px; margin: 0px; position: relative;" tabindex="0" role="presentation" data-mathml="ϑ¯,ϑ¯1/2,ϑ¯2(Gn,p)”>ϑ¯,ϑ¯1/2,ϑ¯2(Gn,p) in the case p<n ^{− 1/2 −  ε} are concentrated in intervals of constant length. Moreover, we estimate the probable value of <span id="MathJax-Element-5-Frame" class="MathJax_SVG" style="box-sizing: inherit; display: inline-block; font-style: normal; font-weight: normal; line-height: normal; font-size: 18px; font-size-adjust: none; text-indent: 0px; text-align: left; text-transform: none; letter-spacing: normal; word-spacing: normal; overflow-wrap: normal; white-space: nowrap; float: none; direction: ltr; max-width: none; max-height: none; min-width: 0px; min-height: 0px; border: 0px; padding: 0px; margin: 0px; position: relative;" tabindex="0" role="presentation" data-mathml="ϑ,ϑ¯(Gn,p)”>ϑ,ϑ¯(Gn,p) etc. for essentially the entire range of edge probabilities p. As applications, we give improved algorithms for approximating α(G _n, p ) and for deciding k-colorability in polynomial expected time.

 

LNCS 2764 – The Lovász Number of Random Graphs 1st Edition Table of contents:

1. Introduction and results

1.1. The concentration of ϑ, ϑ¯, etc.

1.2. The probable value of ϑ(Gn,p), ϑ¯(Gn,p), etc.

1.3. Algorithmic applications

1.4. Organization of the paper

1.5. Notation

2. Preliminaries

3. The concentration results

4. The probable value of ϑ(Gn,p), ϑ¯(Gn,p), etc.

5. Random regular graphs

6. Approximating the independence number and deciding k-colourability

7. Conclusion

 

People also search for LNCS 2764 – The Lovász Number of Random Graphs 1st Edition:

lovász local lemma
    
lovasz number of graph
    
a number less than five
    
a survey of lobster fishermen found
    
lovász theta number
    
random lobster graph