Fetching the paper…

Reading the bibliography…

2014

Equiangular lines in Euclidean spaces

Greaves, G., Koolen, J. H., Munemasa, A. et al.

Original
PDF
Post on X

Understand

We obtain several new results contributing to the theory of real equiangular line systems.

Among other things, we present a new general lower bound on the maximum number of equiangular lines in d dimensional Euclidean space; we describe the two-graphs on 12 vertices; and we investigate Seidel matrices with exactly three distinct eigenvalues.
As a result, we improve on two long-standing upper bounds regarding the maximum number of equiangular lines in dimensions d=14, and d=16.
Additionally, we prove the nonexistence of certain regular graphs with four eigenvalues, and correct some tables from the literature.

Equiangular lines in Euclidean spaces · Around

Built on

J. Haantjes
1948
Earlier work this paper cites.
J. H. van Lint, J. J. Seidel
1966
Earlier work this paper cites.
R. W. Robinson
1969
Earlier work this paper cites.
F. C. Bussemaker, J. J. Seidel
1970
Earlier work this paper cites.
V. A. Liskovec
1970
Earlier work this paper cites.
D. E. Taylor
1972
Earlier work this paper cites.
P. W. H. Lemmens, J. J. Seidel
1973
Earlier work this paper cites.
J. J. Seidel
1974
Earlier work this paper cites.
C. L. Mallows, N. J. A. Sloane
1975
Earlier work this paper cites.
P. J. Cameron
1977
Earlier work this paper cites.
D. E. Taylor
1977
Earlier work this paper cites.
T. Sozański
1980
Earlier work this paper cites.
F. C. Bussemaker, R. A. Mathon, J. J. Seidel
1981
Earlier work this paper cites.
A. Neumaier
1989
Earlier work this paper cites.
W. M. Kantor
1995
Earlier work this paper cites.
J. J. Seidel
1995
Earlier work this paper cites.

Similar

A. R. Calderbank, P. J. Cameron, W. M. Kantor, and J. J. Seidel
1997
Cited alongside, same era.
B. D. McKay
1997
Cited alongside, same era.
E. R. van Dam
1998
Cited alongside, same era.
E. R. van Dam, E. Spence
1998
Cited alongside, same era.
M. Muzychuk, M. Klin
1998
Cited alongside, same era.
F. C. Bussemaker, W. H. Haemers, E. Spence
1999
Cited alongside, same era.
D. de Caen
2000
Cited alongside, same era.
E. Spence
2000

Then

J. C. Tremain
Original
2008
Later among the works it cites.
H. Chuang, G. R. Omidi
2009
Later among the works it cites.
C. Godsil, A. Roy
2009
Later among the works it cites.
M. Fickus, D. G. Mixon and J. C. Tremain
Original
2010
Later among the works it cites.
A. J. Scott, M. Grassl
2010
Later among the works it cites.
D. M. Appleby et al
2012
Later among the works it cites.
A.E. Brouwer, W. H. Haemers
2012

Beyond the bibliography

alphaXiv searches the wider corpus for related work and actual follow-ups.

Open on alphaXiv

alphaXiv is searching for related work…

Cited alongside, same era.

J. H. Koolen, V. Moulton

2001

Cited alongside, same era.

B. D. McKay, E. Spence

2001

Cited alongside, same era.

A. A. Makhnev

2002

Cited alongside, same era.

J. Hage, T. Harju, E. Welzl

2003

Cited alongside, same era.

Later among the works it cites.

W. H. Haemers

2012

Later among the works it cites.

W. M. Kantor

2012

Later among the works it cites.

F. Szöllősi

2012

Later among the works it cites.

A. Barg, W.-H. Yu

2013

Later among the works it cites.

2013

Later among the works it cites.

M. Matolcsi, I. Z. Ruzsa, M. Weiner

2013

Later among the works it cites.

X.-M. Cheng, A. L. Gavrilyuk, G. R. W. Greaves, J. H. Koolen

2014

Closest in time.

T. Okuda, W.-H. Yu

2014

Closest in time.