On the phase transition curve in a directed exponential random graph model. Aristoff, D. & Zhu, L. Advances in Applied Probability, 50(1):272–301, March, 2018.
On the phase transition curve in a directed exponential random graph model [link]Paper  doi  bibtex   
@Article{Aristoff:2018:PTC,
  author =       "David Aristoff and Lingjiong Zhu",
  title =        "On the phase transition curve in a directed
                 exponential random graph model",
  journal =      j-ADV-APPL-PROB,
  volume =       "50",
  number =       "1",
  pages =        "272--301",
  month =        mar,
  year =         "2018",
  CODEN =        "AAPBBD",
  DOI =          "https://doi.org/10.1017/apr.2018.13",
  ISSN =         "0001-8678 (print), 1475-6064 (electronic)",
  ISSN-L =       "0001-8678",
  bibdate =      "Sat Mar 16 08:55:04 MDT 2019",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/advapplprob.bib",
  URL =          "https://www.cambridge.org/core/journals/advances-in-applied-probability/article/on-the-phase-transition-curve-in-a-directed-exponential-random-graph-model/7897E4AE59B96358DDF252D3829294C9",
  acknowledgement = ack-nhfb,
  ajournal =     "Adv. Appl. Probab.",
  fjournal =     "Advances in Applied Probability",
  journal-URL =  "https://www.cambridge.org/core/journals/advances-in-applied-probability",
  onlinedate =   "20 March 2018",
}

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