Graph-Theoretical Approach for Quantifying the Large-Scale Structure of the Universe

Publications of the Astronomical Society of Japan

Ueda, Haruhiko¹  Itoh, Makoto² 

[1] College of Education, Akita University, 1-1 Tegata-gakuen, Akita, Akita 010 E-mail:;Educational Center for Information Processing, Kyoto University, Sakyo-ku, Kyoto 606-01

关键词: Cosmology;    "Galaxies: clustering";    Gravity;    "Methods: numerical;    statistical";   

DOI  :  10.1093/pasj/49.2.131

学科分类：天文学(综合)

来源: Oxford University Press

【 摘 要 】

Weproposeagraph-theoreticalapproachforquantifyingthegalaxydistributionsintheuniverse.Inordertoexaminethevalidityofthisapproach,weconstructgraphsbasedonourcosmologicalN-bodysimulationswithscale-freepower-lawspectra,andapplygraphtheorytothem.Firstweconstructaconstellationgraphfromoursimulations,whichisoneofthemostbasicgraphs.Wethencalculatethedistributionfunctionoftheedge-length,order,degree,andtheeigenvalueoftheadjacencymatrixoftheconstellationgraph.Fromouranalysiswefindthattheeigenvalueoftheadjacencymatrixisagoodstatisticalmeasureforquantifyingthegalaxydistributionsinaclearmanner.Forsupplementarypurposeswealsoconstructaseparatedminimalspanningtreeandagroupgraph,andexaminetheusefulnessofthegraph-theoreticalapproach.

【 授权许可】

Unknown