Regularity of Edge Ideals and Their Powers

We survey recent studies on the Castelnuovo-Mumford regularity of edge ideals of graphs and their powers. Our focus is on bounds and exact values of $\text{ reg } I(G)$ and the asymptotic linear function $\text{ reg } I(G)^q$, for $q \geq 1,$ in terms of combinatorial data of the given graph $G.$Comment: 31 pages, 15 figure

Clinocentrus exsertor Nees 1811

<i>Clinocentrus exsertor</i> (Nees, 1811) <p> <b>Distribution in Iran.</b> Guilan (Farahani <i>et al</i>. 2015), Isfahan (Ghahari <i>et al</i>. 2011a under subfamily Hormiinae). <b>General distribution.</b> Holarctic. Armenia, Austria, Azerbaijan, Belarus, Belgium, Bulgaria, Canada, Czech Republic, Finland, France, Georgia, Germany, Greece, Hungary, Italy, Kazakhstan, Korea, Latvia, Lithuania, Moldova, Mongolia, Poland, Russia, Slovakia, Spain, Sweden, Switzerland, Ukraine, USA (Yu <i>et al</i>. 2012), England, Scotland (Broad <i>et al</i>. 2016), Malta (Papp 2015).</p> <p> <b>Hosts. Coleoptera—Curculionidae:</b> <i>Hypera variabilis</i> (Herbst, 1795) (Yu <i>et al</i>. 2012). <b>Lepidoptera—Depressariidae:</b> <i>Agonopterix broennoeensis</i> (Strand, 1920) (Shenefelt 1975). <b>Geometridae:</b> <i>Biston betularia</i> (Linnaeus, 1758) (Shenefelt 1975). <b>Momphidae:</b> <i>Mompha conturbatella</i> (Hübner, 1819) (Yu <i>et al</i>. 2012). <b>Tineidae:</b> <i>Parornix scoticella</i> (Stainton, 1850) (Shenefelt 1975). <b>Tortricidae:</b> <i>Argyrotaenia velutinana</i> (Walker, 1863); <i>Choristoneura fumiferana</i> (Clemens, 1865); <i>Cnephasia</i> (<i>Cnephasia</i>) <i>genitalana</i> Pierce & Metcalfe 1922 (Yu <i>et al</i>. 2012); <i>Eucosmomorpha albersana</i> (Hübner, 1813); <i>Grapholita delineana</i> Walker, 1863 (Yu <i>et al</i>. 2012); <i>Gravitarmata margarotana</i> (Heinemann, 1863) (Shenefelt 1975); <i>Gypsonoma sociana</i> (Haworth, 1811) (Yu <i>et al</i>. 2012); <i>Pandemis corylana</i> (Fabricius, 1794) (Shenefelt 1975; Belokobylskij 1995); <i>Rhyacionia buoliana</i> (Denis & Schiffermüller, 1775) (Yu <i>et al</i>. 2012).</p>Published as part of <i>Beyarslan, Ahmet, Gadallah, Neveen S. & Ghahari, Hassan, 2017, An annotated catalogue of the Iranian Microtypinae and Rogadinae (Hymenoptera: Braconidae), pp. 99-116 in Zootaxa 4291 (1)</i> on page 112, DOI: 10.11646/zootaxa.4291.1.6, <a href="http://zenodo.org/record/829403">http://zenodo.org/record/829403</a&gt

Aleiodes esenbeckii Hartig 1838

<i>Aleiodes esenbeckii</i> (Hartig, 1838) <p> <b>Distribution in Iran.</b> East Azarbaijan (Samin 2015), Khorasan (Samin <i>et al</i>. 2011).</p> <p> <b>General distribution.</b> Palaearctic, Oriental. Afghanistan, Hungary, Japan, Korea, Lithuania, Mongolia, Norway, Poland, former Yugoslavia (Yu <i>et al</i>. 2012), Austria, China, Czech Republic, Germany, France, Russia, Spain (Yu <i>et al.</i> 2012; van Achterberg & Shaw 2016), Croatia, Finland, Netherlands, Siberia, Switzerland (van Achterberg & Shaw 2016), Italy (Shenfelt 1975 as <i>Rogas esenbeckii</i>; Yu <i>et al.</i> 2012), Turkey (Beyarslan 2015).</p> <p> <b>Hosts. Lepidoptera—Endromidae:</b> <i>Endromis versicolora</i> (Linnaeus, 1758) (Yu <i>et al</i>. 2012). <b>Lasiocampidae:</b> <i>Dendrolimus</i> sp.; <i>Dendrolimus albolineatus</i> Matsumura, 1921; <i>D. pini</i> (Linnaeus, 1758); <i>D. sibiricus</i> (Tschetverikov 1908); <i>D. spectabilis</i> (Butler, 1877); <i>D. superans</i> (Butler, 1877); <i>D. tabulaeformis</i> Tsai & Liu, 1962; van Achterberg & Shaw 2016); <i>Cosmotriche lobulina</i> (Denis & Schiffermüller, 1775); <i>Dendrolimus punctatus</i> (Walker, 1855) (Yu <i>et al</i>. 2012). <b>Zygaenidae:</b> <i>Zygaena lonicerae</i> (Scheven, 1777) <b>(</b> Yu <i>et al</i>. 2012).</p>Published as part of <i>Beyarslan, Ahmet, Gadallah, Neveen S. & Ghahari, Hassan, 2017, An annotated catalogue of the Iranian Microtypinae and Rogadinae (Hymenoptera: Braconidae), pp. 99-116 in Zootaxa 4291 (1)</i> on page 105, DOI: 10.11646/zootaxa.4291.1.6, <a href="http://zenodo.org/record/829403">http://zenodo.org/record/829403</a&gt

Aleiodes circumscriptus Nees 1834

<i>Aleiodes circumscriptus</i> (Nees, 1834) <p> <b>Distribution in Iran.</b> Fars (Lashkari Bod <i>et al</i>. 2011), Golestan (Ghahari <i>et al</i>. 2009 as <i>Rogas circumscriptus</i> Nees, 1834), Guilan, Mazandaran (Farahani <i>et al</i>. 2015), Ilam (Ghahari <i>et al</i>. 2011c), Kerman (Abdolalizadeh <i>et al.</i> 2017), West Azarbaijan (Rastegar <i>et al</i>. 2012), Iran (no specific locality) (Telenga 1941 as <i>Rhogas circumscriptus</i>; Shenefelt 1975; Fallahzadeh & Saghaei 2010).</p> <p> <b>General distribution.</b> Palaearctic. Albania, Caucasia, North Africa, Romania, Siberia (Shenefelt 1975), Armenia, Azerbaijan, China, Croatia, Faero Islands, Georgia, Greece, France, Iceland, Ireland, Kazakhstan, Korea, Latvia, Lithuania, Moldova, Mongolia, Poland, Russia, Serbia, Tajikistan, Tunisia, former Yugoslavia (Yu <i>et al.</i> 2012), Austria, Belgium, Bulgaria, Czech Republic, Germany, Hungary, Finland, Italy, Netherlands, Norway, Slovakia, Spain, Sweden (Yu <i>et al</i>. 2012; van Achterberg & Shaw 2016), England, Scotland (Shenefelt 1975; Broad <i>et al.</i> 2016; van Achterberg & Shaw 2016), Ireland (Yu <i>et al.</i> 2012; Broad <i>et al.</i> 2016; van Achterberg & Shaw 2016), Lichtenstein (van Achterberg & Shaw 2016), Wales (Broad <i>et al.</i> 2016; van Achterberg & Shaw 2016), Switzerland (Yu <i>et al.</i> 2012; van Achterberg 2014), Turkey (Yu <i>et al</i>. 2012; Beyarslan 2015).</p> <p> <b>Hosts. Lepidoptera—Erebidae:</b> <i>Atolmis rubricollis</i> (Linnaeus, 1758); <i>Leucoma salicis</i> (Linnaeus, 1758) (Yu <i>et al.</i> 2012), <i>Hypena proboscidalis</i> (Linnaeus, 1758) (van Achterberg & Shaw 2016). <b>Gelechiidae:</b> <i>Caryocolum amaurella</i> (Hering, 1924). <b>Geometridae:</b> <i>Thera variata</i> (Denis & Schiffermüller, 1775); <i>Abraxas grossulariata</i> Linnaeus, 1758; <i>Bupalus piniarius</i> (Linnaeus, 1758); <i>Cyclophora ruficiliaria</i> (Herrich-Schäffer, 1855); <i>Epirrhoe galiata</i> (Denis & Schiffermüller, 1775); <i>Epirrita autumnata</i> (Borkhausen, 1794); <i>Eupithecia alliaria</i> Staudinger, 1870; <i>E. linariata</i> (Denis & Schiffermüller, 1775); <i>E. subfuscata</i> (Haworth,1809); <i>Gymnoscelis rufifasciata</i> (Haworth, 1809); <i>Hylaea fasciaria</i> (Linnaeus, 1758); <i>Lycia isabellae</i> (Harrison, 1914). <b>Noctuidae:</b> <i>Apamea crenata</i> (Hufnagel, 1766); <i>Autographa gamma</i> (Linnaeus, 1758); <i>Diarsia rubi</i> (Vieweg, 1790); <i>Helicoverpa armigera</i> (Hübner, 1808); <i>Hoplodrina octogenaria</i> (Goeze, 1781); <i>Lithomoia solidaginis</i> (Hübner, 1803); <i>Mamestra brassicae</i> (Linnaeus 1758); <i>Noctua fimbriata</i> (Schreber, 1759); <i>N. pronuba</i> (Linnaeus, 1758); <i>Orthosia gracilis</i> (Denis & Schiffermüller, 1775); <i>O. incerta</i> (Hufnagel, 1766); <i>O. stabilis</i> (Denis & Schiffermüller, 1775); <i>Pseudaletia unipuncta</i> (Haworth, 1809); <i>Spodoptera exigua</i> (Hübner 1808); <i>Xestia agathina</i> (Duponchel, 1827); <i>X. baja</i> (Denis & Schiffermüller, 1775); <i>X. xanthographa</i> (Denis & Schiffermüller, 1775). <b>Pterophoridae:</b> <i>Pterophorus pentadactyla</i> (Linnaeus, 1758). <b>Pyralidae:</b> <i>Dioryctria abietella</i> (Denis & Schiffermüller, 1775); <b>Tortricidae:</b> <i>Archips rosana</i> (Linnaeus, 1758); <i>Croesia bergmanniana</i> Linnaeus, 1758; <i>C. holmiana</i> Linnaeus, 1758; <i>Cydia conicolana</i> (Heylaerts, 1874) on <i>Pinus pinaster</i>; <i>C. strobilella</i> (Linnaeus, 1758) on <i>Pseudotsuga</i> sp.; <i>Pammene amygdalana</i> (Duponchel, 1842); <i>P. gallicolana</i> (Lienig & Zeller, 1846); <i>Tortrix viridana</i> (Linnaeus, 1758); <i>Zeiraphera griseana</i> (Hübner, 1799) (Yu <i>et al</i>. 2012).</p>Published as part of <i>Beyarslan, Ahmet, Gadallah, Neveen S. & Ghahari, Hassan, 2017, An annotated catalogue of the Iranian Microtypinae and Rogadinae (Hymenoptera: Braconidae), pp. 99-116 in Zootaxa 4291 (1)</i> on page 103, DOI: 10.11646/zootaxa.4291.1.6, <a href="http://zenodo.org/record/829403">http://zenodo.org/record/829403</a&gt

Microtypus algiricus Szepligeti 1908

<i>Microtypus algiricus</i> Szépligeti, 1908 <p> <b>Distribution in Iran.</b> Khuzestan (Samin <i>et al</i>. 2016).</p> <p> <b>General distribution.</b> Palaearctic. Algeria, China, Jordan (Yu et al. 2012), Armenia, Iraq (Samin <i>et al.</i> 2016), Egypt (Edmardash <i>et al.</i> 2017).</p> <p> <b>Hosts.</b> Unknown.</p>Published as part of <i>Beyarslan, Ahmet, Gadallah, Neveen S. & Ghahari, Hassan, 2017, An annotated catalogue of the Iranian Microtypinae and Rogadinae (Hymenoptera: Braconidae), pp. 99-116 in Zootaxa 4291 (1)</i> on page 100, DOI: 10.11646/zootaxa.4291.1.6, <a href="http://zenodo.org/record/829403">http://zenodo.org/record/829403</a&gt

Aleiodes arnoldii Tobias 1976

<i>Aleiodes arnoldii</i> (Tobias, 1976) <p> <b>Distribution in Iran.</b> Alborz, Guilan, Mazandaran, Tehran (Farahani <i>et al</i>. 2015). <b>General distribution.</b> Palaearctic. Azerbaijan, Poland, Uzbekistan (Yu <i>et al</i>. 2012). <b>Hosts.</b> Unknown.</p>Published as part of <i>Beyarslan, Ahmet, Gadallah, Neveen S. & Ghahari, Hassan, 2017, An annotated catalogue of the Iranian Microtypinae and Rogadinae (Hymenoptera: Braconidae), pp. 99-116 in Zootaxa 4291 (1)</i> on page 103, DOI: 10.11646/zootaxa.4291.1.6, <a href="http://zenodo.org/record/829403">http://zenodo.org/record/829403</a&gt

Aleiodes nocturnus Telenga 1941

<i>Aleiodes nocturnus</i> (Telenga, 1941) <p> <b>Distribution in Iran.</b> Guilan, Tehran (Farahani <i>et al</i>. 2015), Iran (no specific locality) (Telenga 1941; Shenefelt 1975; Tobias 1986; Fallahzadeh & Saghaei 2010; Papp 2011–2012), Kerman (Abdolalizadeh <i>et al.</i> 2017).</p> <p> <b>General distribution.</b> Palaearctic. China, Hungary, Kazakhstan, Mongolia, Slovakia, Tajikistan, Turkmenistan, Uzbekistan (Yu <i>et al</i>. 2012), Russia (Shenefelt 1975; Tobias 1986 as <i>Rogas nocturnus</i>), Switzerland (van Achterberg 2014), Tunisia (Papp 2014), Turkey (Yu <i>et al</i>. 2012; Papp 2014; Beyarslan 2015).</p> <p> <b>Hosts. Lepidoptera—Erebidae:</b> <i>Euproctis karghalica</i> (Moore, 1878) (Yu <i>et al</i>. 2012). <b>Noctuidae:</b> <i>Helicoverpa armigera</i> (Hübner, 1808); <i>Helicoverpa zea</i> (Boddie, 1850) on <i>Gossypium hirsutum</i> (Yu <i>et al</i>. 2012). <b>Notodontidae:</b> <i>Cerura menciana</i> Moore, 1877; <i>C. vinula</i> (Linnaeus, 1758); <i>Harpyia hermelina</i> (Stephens, 1829) (Yu <i>et al</i>. 2012). <b>Nymphalidae</b>: <i>Polygonia c-album</i> (Linnaeus, 1758) (Yu <i>et al</i>. 2012).</p>Published as part of <i>Beyarslan, Ahmet, Gadallah, Neveen S. & Ghahari, Hassan, 2017, An annotated catalogue of the Iranian Microtypinae and Rogadinae (Hymenoptera: Braconidae), pp. 99-116 in Zootaxa 4291 (1)</i> on page 106, DOI: 10.11646/zootaxa.4291.1.6, <a href="http://zenodo.org/record/829403">http://zenodo.org/record/829403</a&gt

Heterogamus dispar Haliday 1833

<i>Heterogamus dispar</i> (Haliday, 1833) <p> <b>Distribution in Iran.</b> Mazandaran (Farahani <i>et al</i>. 2015).</p> <p> <b>General distribution.</b> Oriental, Palaearctic. Austria (Shenefelt 1975), Belgium, Bulgaria, China, Czech Republic, Finland, France, Germany, Hungary, Ireland, Japan, Italy, Korea, Lithuania, Netherlands, Poland, Russia, Slovakia, Slovenia, Sweden, Switzerland (Yu <i>et al</i>. 2012), England, Ireland, Scotland, Wales (Knowler & Broad 2014; Broad <i>et al.</i> 2016).</p> <p> <b>Hosts. Lepidoptera—Noctuidae:</b> <i>Agrotis segetum</i> (Denis & Schiffermüller, 1775); <b>Nymphalidae:</b> <i>Euphydryas aurinia</i> (Rottemburg, 1775) (Shenefelt 1975).</p>Published as part of <i>Beyarslan, Ahmet, Gadallah, Neveen S. & Ghahari, Hassan, 2017, An annotated catalogue of the Iranian Microtypinae and Rogadinae (Hymenoptera: Braconidae), pp. 99-116 in Zootaxa 4291 (1)</i> on page 111, DOI: 10.11646/zootaxa.4291.1.6, <a href="http://zenodo.org/record/829403">http://zenodo.org/record/829403</a&gt