NDLI: (k+1)-Cores Have k-Factors

Content Provider	Scilit
Author	Molloy, Michael
Copyright Year	2012
Description	We prove that the threshold for the appearance of a k-regular subgraph in $G_{n,p}$ is at most the threshold for the appearance of a non-empty (k+1)-core. This improves a result of Pralat, Verstraete and Wormald [5] and proves a conjecture of Bollobás, Kim and Verstraete [3].
Related Links	http://pdfs.semanticscholar.org/1e74/b8b7223b21733a68f9049b886e1fda6eeb04.pdf https://www.cambridge.org/core/services/aop-cambridge-core/content/view/44E0D0C17765B584C9D93532A79F71B4/S096354831200034Xa.pdf/div-class-title-span-class-italic-k-span-1-cores-have-span-class-italic-k-span-factors-div.pdf
Ending Page	896
Page Count	15
Starting Page	882
ISSN	09635483
e-ISSN	14692163
DOI	10.1017/s096354831200034x
Journal	Combinatorics, Probability and Computing
Issue Number	6
Volume Number	21
Language	English
Publisher	Cambridge University Press (CUP)
Publisher Date	2012-09-11
Access Restriction	Open
Subject Keyword	Combinatorics, Probability and Computing
Content Type	Text
Resource Type	Article
Subject	Applied Mathematics Statistics and Probability Theoretical Computer Science Computational Theory and Mathematics

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(k+1)-Cores Have k-Factors