@article{2b7d3d74594e43bebcf2957c19714c9b,
title = "Simple Groups Whose Gruenberg–Kegel Graph or Solvable Graph is Split",
abstract = "A graph is split if there is a partition of its vertex set into a clique and an independent set. In this paper, we determine when the Gruenberg–Kegel graph, the solvable graph, and the compact forms of these graphs associated with finite nonabelian simple groups are split. In particular, it is proved that the compact form of the Gruenberg–Kegel graph of any finite simple group is split.",
keywords = "Gruenberg–Kegel graph, Simple group, Solvable graph, Split graph, RECOGNITION, ORDERS, FINITE-GROUPS, COMPONENTS, PRIME GRAPH, Gruenberg-Kegel graph",
author = "Lewis, {Mark L.} and J. Mirzajani and Moghaddamfar, {A. R.} and Vasil{\textquoteright}ev, {A. V.} and Zvezdina, {M. A.}",
note = "Publisher Copyright: {\textcopyright} 2019, Malaysian Mathematical Sciences Society and Penerbit Universiti Sains Malaysia. Copyright: Copyright 2020 Elsevier B.V., All rights reserved.",
year = "2020",
month = may,
day = "1",
doi = "10.1007/s40840-019-00815-8",
language = "English",
volume = "43",
pages = "2523--2547",
journal = "Bulletin of the Malaysian Mathematical Sciences Society",
issn = "0126-6705",
publisher = "Springer Singapore",
number = "3",
}