The independent domination number of a random graph

Lane Clark; Darin Johnson

Discussiones Mathematicae Graph Theory (2011)

  • Volume: 31, Issue: 1, page 129-142
  • ISSN: 2083-5892

Abstract

top
We prove a two-point concentration for the independent domination number of the random graph G n , p provided p²ln(n) ≥ 64ln((lnn)/p).

How to cite

top

Lane Clark, and Darin Johnson. "The independent domination number of a random graph." Discussiones Mathematicae Graph Theory 31.1 (2011): 129-142. <http://eudml.org/doc/270956>.

@article{LaneClark2011,
abstract = {We prove a two-point concentration for the independent domination number of the random graph $G_\{n,p\}$ provided p²ln(n) ≥ 64ln((lnn)/p).},
author = {Lane Clark, Darin Johnson},
journal = {Discussiones Mathematicae Graph Theory},
keywords = {random graph; two-point concentration; independent domination},
language = {eng},
number = {1},
pages = {129-142},
title = {The independent domination number of a random graph},
url = {http://eudml.org/doc/270956},
volume = {31},
year = {2011},
}

TY - JOUR
AU - Lane Clark
AU - Darin Johnson
TI - The independent domination number of a random graph
JO - Discussiones Mathematicae Graph Theory
PY - 2011
VL - 31
IS - 1
SP - 129
EP - 142
AB - We prove a two-point concentration for the independent domination number of the random graph $G_{n,p}$ provided p²ln(n) ≥ 64ln((lnn)/p).
LA - eng
KW - random graph; two-point concentration; independent domination
UR - http://eudml.org/doc/270956
ER -

References

top
  1. [1] N. Alon and J. Spencer, The Probabilistic Method (John Wiley, New York, 1992). Zbl0767.05001
  2. [2] B. Bollobás, Random Graphs (Second Edition, Cambridge University Press, New York, 2001). 
  3. [3] A. Bonato and C. Wang, A note on domination parameters in random graphs, Discuss. Math. Graph Theory 28 (2008) 307-322, doi: 10.7151/dmgt.1409. Zbl1156.05040
  4. [4] A. Godbole and B. Wieland, On the domination number of a Random graph, Electronic J. Combin. 8 (2001) 1-13. Zbl0989.05108
  5. [5] T. Haynes, S. Hedetniemi and P. Slater, Fundamentals of Domination in Graphs (Marcel Dekker, Inc., New York, 1998). Zbl0890.05002
  6. [6] T. Haynes, S. Hedetniemi and P. Slater, Domination in Graphs: Advanced Topics (Marcel Dekker, Inc., New York, 1998). Zbl0883.00011
  7. [7] K. Weber, Domination number for almost every graph, Rostocker Matematisches Kolloquium 16 (1981) 31-43. Zbl0476.05067

NotesEmbed ?

top

You must be logged in to post comments.

To embed these notes on your page include the following JavaScript code on your page where you want the notes to appear.

Only the controls for the widget will be shown in your chosen language. Notes will be shown in their authored language.

Tells the widget how many notes to show per page. You can cycle through additional notes using the next and previous controls.

    
                

                
Note: Best practice suggests putting the JavaScript code just before the closing </body> tag.