|
|
Joint probability generating function for degrees of active/passive random intersection graphs |
Yilun SHANG() |
Institute for Cyber Security, University of Texas at San Antonio, San Antonio, TX 78249, USA |
|
|
Abstract Correlations of active and passive random intersection graphs are studied in this paper. We present the joint probability generating function for degrees of Gactive(n, m, p) and Gpassive(n, m, p), which are generated by a random bipartite graph G?(n, m, p) on n + m vertices.
|
Keywords
Random graph
intersection graph
degree
generating function
|
Corresponding Author(s):
SHANG Yilun,Email:shylmath@hotmail.com
|
Issue Date: 01 February 2012
|
|
1 |
Eschenauer L, Gilgor V D. A key-management scheme for distributed sensor networks. In: Proc 9th ACM Conference of Computer and Communications Security . 2002, 41-47 doi: 10.1145/586110.586117
|
2 |
Feller W. An Introduction to Probability Theory and Its Applications, Vol 1. New York: Wiley, 1968
|
3 |
Godehardt E, Jaworski J. Two models of random intersection graphs for classification. In: Schwaiger M, Opitz O, eds. Exploratory Data Analysis in Empirical Research . Berlin: Springer-Verlag, 2003, 67-81 doi: 10.1007/978-3-642-55721-7_8
|
4 |
Jaworski J, Karoński M, Stark D. The degree of a typical vertex in generalized random intersection graph models. Discrete Math , 2006, 306: 2152-2165 doi: 10.1016/j.disc.2006.05.013
|
5 |
Jaworski J, Stark D. The vertex degree distribution of passive random intersection graph models. Combin Probab Comput , 2008, 17: 549-558 doi: 10.1017/S0963548308009103
|
6 |
Karoński M, Scheinerman E R, Singer-Cohen K B. On random intersection graphs: the subgraph problem. Combin Probab Comput , 1999, 8: 131-159 doi: 10.1017/S0963548398003459
|
7 |
Newman M E J. The structure of scientific collaboration networks. Proc Natl Acad Sci USA , 2001, 98: 404-409 doi: 10.1073/pnas.021544898
|
8 |
Newman M E J. Properties of highly clustered networks. Phys Rev E , 2003, 68: 026121 doi: 10.1103/PhysRevE.68.026121
|
9 |
Shang Y. Degree distributions in general random intersection graphs. Electron J Combin , 2010, 17: R23
|
10 |
Shang Y. Typical vertex degrees in dense generalized random intersection graphs. Math Appl , 2010, 23: 767-773
|
11 |
Shang Y. Groupies in random bipartite graphs. Appl Anal Discrete Math , 2010, 4: 278-283 doi: 10.2298/AADM100605021S
|
12 |
Shang Y. On the isolated vertices and connectivity in random intersection graphs. Int J Comb , 2011, 2011: 872703
|
13 |
Singer-Cohen K B. Random Intersection Graphs. Dissertation . Baltimore: Johns Hopkins University, 1995
|
14 |
Stark D. The vertex degree distribution of random intersection graphs. Random Structures Algorithms , 2004, 24: 249-258 doi: 10.1002/rsa.20005
|
|
Viewed |
|
|
|
Full text
|
|
|
|
|
Abstract
|
|
|
|
|
Cited |
|
|
|
|
|
Shared |
|
|
|
|
|
Discussed |
|
|
|
|