Edge-Disjoint Cycles in Regular Directed Graphs

Noga Alon; Colin McDiarmid; Michael Molloy

doi:10.1002/(SICI)1097-0118(199607)22:3<231::AID-JGT3>3.0.CO;2-N

Edge-Disjoint Cycles in Regular Directed Graphs

Noga Alon, Colin McDiarmid, Michael Molloy

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

7 Scopus citations

Abstract

We prove that any k-regular directed graph with no parallel edges contains a collection of at least Ω(k²) edge-disjoint cycles; we conjecture that in fact any such graph contains a collection of at least (^k+1₂) disjoint cycles, and note that this holds for k ≤ 3.

Original language	English (US)
Pages (from-to)	231-237
Number of pages	7
Journal	Journal of Graph Theory
Volume	22
Issue number	3
DOIs	https://doi.org/10.1002/(SICI)1097-0118(199607)22:3<231::AID-JGT3>3.0.CO;2-N
State	Published - Jul 1996
Externally published	Yes

All Science Journal Classification (ASJC) codes

Geometry and Topology

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10.1002/(SICI)1097-0118(199607)22:3<231::AID-JGT3>3.0.CO;2-N

Cite this

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title = "Edge-Disjoint Cycles in Regular Directed Graphs",

abstract = "We prove that any k-regular directed graph with no parallel edges contains a collection of at least Ω(k2) edge-disjoint cycles; we conjecture that in fact any such graph contains a collection of at least (k+12) disjoint cycles, and note that this holds for k ≤ 3.",

author = "Noga Alon and Colin McDiarmid and Michael Molloy",

year = "1996",

month = jul,

doi = "10.1002/(SICI)1097-0118(199607)22:3<231::AID-JGT3>3.0.CO;2-N",

language = "English (US)",

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journal = "Journal of Graph Theory",

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T1 - Edge-Disjoint Cycles in Regular Directed Graphs

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AU - McDiarmid, Colin

AU - Molloy, Michael

PY - 1996/7

Y1 - 1996/7

N2 - We prove that any k-regular directed graph with no parallel edges contains a collection of at least Ω(k2) edge-disjoint cycles; we conjecture that in fact any such graph contains a collection of at least (k+12) disjoint cycles, and note that this holds for k ≤ 3.

AB - We prove that any k-regular directed graph with no parallel edges contains a collection of at least Ω(k2) edge-disjoint cycles; we conjecture that in fact any such graph contains a collection of at least (k+12) disjoint cycles, and note that this holds for k ≤ 3.

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U2 - 10.1002/(SICI)1097-0118(199607)22:3<231::AID-JGT3>3.0.CO;2-N

DO - 10.1002/(SICI)1097-0118(199607)22:3<231::AID-JGT3>3.0.CO;2-N

M3 - Article

AN - SCOPUS:0030545939

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VL - 22

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EP - 237

JO - Journal of Graph Theory

JF - Journal of Graph Theory

IS - 3

ER -

Edge-Disjoint Cycles in Regular Directed Graphs

Abstract

All Science Journal Classification (ASJC) codes

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