On factors in random graphs

E. Shamir; E. Upfal

doi:10.1007/BF02761675

On factors in random graphs

E. Shamir^*
, E. Upfal

^*Corresponding author for this work

Einstein Institute of Mathematics

Research output: Contribution to journal › Article › peer-review

20 Scopus citations

Abstract

The following result is proved: Let G_n,p be a random graph with n vertices and probability p for an edge. If p is such that the random graph has min-degree at least r with probability 1, then any f-factor 1≦f≦r exists with probability 1, as n→∞.

Original language	English
Pages (from-to)	296-302
Number of pages	7
Journal	Israel Journal of Mathematics
Volume	39
Issue number	4
DOIs	https://doi.org/10.1007/BF02761675
State	Published - Dec 1981

Access to Document

10.1007/BF02761675

Cite this

@article{8d37ed1976404e62b2a89ca9733f0cb8,

title = "On factors in random graphs",

abstract = "The following result is proved: Let G n,p be a random graph with n vertices and probability p for an edge. If p is such that the random graph has min-degree at least r with probability 1, then any f-factor 1≦f≦r exists with probability 1, as n→∞.",

author = "E. Shamir and E. Upfal",

year = "1981",

month = dec,

doi = "10.1007/BF02761675",

language = "אנגלית",

volume = "39",

pages = "296--302",

journal = "Israel Journal of Mathematics",

issn = "0021-2172",

publisher = "Springer New York",

number = "4",

}

TY - JOUR

T1 - On factors in random graphs

AU - Shamir, E.

AU - Upfal, E.

PY - 1981/12

Y1 - 1981/12

N2 - The following result is proved: Let G n,p be a random graph with n vertices and probability p for an edge. If p is such that the random graph has min-degree at least r with probability 1, then any f-factor 1≦f≦r exists with probability 1, as n→∞.

AB - The following result is proved: Let G n,p be a random graph with n vertices and probability p for an edge. If p is such that the random graph has min-degree at least r with probability 1, then any f-factor 1≦f≦r exists with probability 1, as n→∞.

UR - https://www.scopus.com/pages/publications/51249181437

U2 - 10.1007/BF02761675

DO - 10.1007/BF02761675

M3 - ???researchoutput.researchoutputtypes.contributiontojournal.article???

AN - SCOPUS:51249181437

SN - 0021-2172

VL - 39

SP - 296

EP - 302

JO - Israel Journal of Mathematics

JF - Israel Journal of Mathematics

IS - 4

ER -

On factors in random graphs

Abstract

Access to Document

Other files and links

Fingerprint

Cite this