We exhibit infinitely many examples of edge-regular graphs that have regular cliques and that are not strongly regular. This answers a question of Neumaier from 1981. (C) 2018 Elsevier Ltd. All rights reserved.
机构:
Univ Roma Tor Vergata, Dipartmento Matemat, Via Ric Sci, I-00133 Rome, ItalyUniv Roma Tor Vergata, Dipartmento Matemat, Via Ric Sci, I-00133 Rome, Italy
机构:
Comenius Univ, Bratislava, Slovakia
Univ Primorska, Koper, SloveniaComenius Univ, Bratislava, Slovakia
Jajcay, Robert
Kiss, Gyorgy
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机构:
Eotvos Lorand Univ, Dept Geometry, Pazmany S 1-C, H-1117 Budapest, Hungary
Eotvos Lorand Univ, MTA ELTE Geometr & Algebra Combinator Res Grp, Pazmany S 1-C, H-1117 Budapest, Hungary
Univ Primorska, Fac Math Nat Sci & Informat Technol, Glagoljaska 8, Koper 6000, SloveniaComenius Univ, Bratislava, Slovakia
Kiss, Gyorgy
Miklavic, Stefko
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机构:
Univ Primorska, Andrej Marusic Inst, Muzejski Trg 2, Koper 6000, Slovenia
Inst Math Phys & Mech, Jadranska 19, Ljubljana 1000, SloveniaComenius Univ, Bratislava, Slovakia