Erratum: A Cheeger inequality of a distance regular graph using Green's function (Discrete Mathematics (2013) 313:20 (2337-2347))

Gil Chun Kim; Yoonjin Lee

doi:10.1016/j.disc.2015.04.010

Erratum: A Cheeger inequality of a distance regular graph using Green's function (Discrete Mathematics (2013) 313:20 (2337-2347))

Gil Chun Kim, Yoonjin Lee

Department of Mathematics

Research output: Contribution to journal › Comment/debate

Abstract

Abstract In the published version, we obtain a cheeger inequality of distance regular graphs in terms of the smallest positive eigenvalue of the Laplacian and a value ^αd. However, we confirm that we need an additional condition for our Cheeger inequality of distance regular graphs: if formula presented >formula presented for t≤^αd, then we obtain a Cheeger inequality of distance regular graphs as ^hΓ< formula presented.

Original language	English
Article number	10126
Pages (from-to)	1621-1623
Number of pages	3
Journal	Discrete Mathematics
Volume	338
Issue number	9
DOIs	https://doi.org/10.1016/j.disc.2015.04.010
State	Published - 6 Sep 2015

Bibliographical note

Publisher Copyright:
© 2015 Elsevier B.V. All rights reserved.

Keywords

Cheeger constant
Cheeger inequality
Distance regular graph
Green's function
Laplacian
P-polynomial scheme

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10.1016/j.disc.2015.04.010

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title = "Erratum: A Cheeger inequality of a distance regular graph using Green's function (Discrete Mathematics (2013) 313:20 (2337-2347))",

abstract = "Abstract In the published version, we obtain a cheeger inequality of distance regular graphs in terms of the smallest positive eigenvalue of the Laplacian and a value αd. However, we confirm that we need an additional condition for our Cheeger inequality of distance regular graphs: if formula presented >formula presented for t≤αd, then we obtain a Cheeger inequality of distance regular graphs as hΓ< formula presented.",

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AU - Lee, Yoonjin

PY - 2015/9/6

Y1 - 2015/9/6

N2 - Abstract In the published version, we obtain a cheeger inequality of distance regular graphs in terms of the smallest positive eigenvalue of the Laplacian and a value αd. However, we confirm that we need an additional condition for our Cheeger inequality of distance regular graphs: if formula presented >formula presented for t≤αd, then we obtain a Cheeger inequality of distance regular graphs as hΓ< formula presented.

AB - Abstract In the published version, we obtain a cheeger inequality of distance regular graphs in terms of the smallest positive eigenvalue of the Laplacian and a value αd. However, we confirm that we need an additional condition for our Cheeger inequality of distance regular graphs: if formula presented >formula presented for t≤αd, then we obtain a Cheeger inequality of distance regular graphs as hΓ< formula presented.

KW - Cheeger constant

KW - Cheeger inequality

KW - Distance regular graph

KW - Green's function

KW - Laplacian

KW - P-polynomial scheme

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U2 - 10.1016/j.disc.2015.04.010

DO - 10.1016/j.disc.2015.04.010

M3 - Comment/debate

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SN - 0012-365X

VL - 338

SP - 1621

EP - 1623

JO - Discrete Mathematics

JF - Discrete Mathematics

IS - 9

M1 - 10126

ER -

Erratum: A Cheeger inequality of a distance regular graph using Green's function (Discrete Mathematics (2013) 313:20 (2337-2347))

Abstract

Bibliographical note

Keywords

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