Distance-regular graphs

Edwin R. van Dam; Jack H. Koolen; Hajime Tanaka

Distance-regular graphs

Edwin R. van Dam^*, Jack H. Koolen, Hajime Tanaka

^*Corresponding author for this work

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Abstract

This is a survey of distance-regular graphs. We present an introduction to distance-regular graphs for the reader who is unfamiliar with the subject, and then give an overview of some developments in the area of distance-regular graphs since the monograph 'BCN'[Brouwer, A.E., Cohen, A.M., Neumaier, A., Distance-Regular Graphs, Springer-Verlag, Berlin, 1989] was written.

Original language	English
Article number	DS22
Pages (from-to)	1-156
Journal	Electronic Journal of Combinatorics
Volume	Dynamic Surveys
Publication status	Published - 15 Apr 2016

Keywords

distance-regular graph
survey
association scheme
P-polynomial
Q-polynomial
geometric

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title = "Distance-regular graphs",

abstract = "This is a survey of distance-regular graphs. We present an introduction to distance-regular graphs for the reader who is unfamiliar with the subject, and then give an overview of some developments in the area of distance-regular graphs since the monograph 'BCN'[Brouwer, A.E., Cohen, A.M., Neumaier, A., Distance-Regular Graphs, Springer-Verlag, Berlin, 1989] was written.",

keywords = "distance-regular graph, survey, association scheme, P-polynomial, Q-polynomial, geometric",

author = "{van Dam}, {Edwin R.} and Koolen, {Jack H.} and Hajime Tanaka",

year = "2016",

month = apr,

day = "15",

language = "English",

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pages = "1--156",

journal = "Electronic Journal of Combinatorics",

issn = "1097-1440",

publisher = "Australian National University",

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T1 - Distance-regular graphs

AU - van Dam, Edwin R.

AU - Koolen, Jack H.

AU - Tanaka, Hajime

PY - 2016/4/15

Y1 - 2016/4/15

N2 - This is a survey of distance-regular graphs. We present an introduction to distance-regular graphs for the reader who is unfamiliar with the subject, and then give an overview of some developments in the area of distance-regular graphs since the monograph 'BCN'[Brouwer, A.E., Cohen, A.M., Neumaier, A., Distance-Regular Graphs, Springer-Verlag, Berlin, 1989] was written.

AB - This is a survey of distance-regular graphs. We present an introduction to distance-regular graphs for the reader who is unfamiliar with the subject, and then give an overview of some developments in the area of distance-regular graphs since the monograph 'BCN'[Brouwer, A.E., Cohen, A.M., Neumaier, A., Distance-Regular Graphs, Springer-Verlag, Berlin, 1989] was written.

KW - distance-regular graph

KW - survey

KW - association scheme

KW - P-polynomial

KW - Q-polynomial

KW - geometric

M3 - Article

SN - 1097-1440

VL - Dynamic Surveys

SP - 1

EP - 156

JO - Electronic Journal of Combinatorics

JF - Electronic Journal of Combinatorics

M1 - DS22

ER -

Distance-regular graphs

Abstract

Keywords

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