{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,5,2]],"date-time":"2026-05-02T06:51:31Z","timestamp":1777704691906,"version":"3.51.4"},"reference-count":24,"publisher":"SAGE Publications","issue":"1","license":[{"start":{"date-parts":[[2020,5,6]],"date-time":"2020-05-06T00:00:00Z","timestamp":1588723200000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/journals.sagepub.com\/page\/policies\/text-and-data-mining-license"}],"content-domain":{"domain":["journals.sagepub.com"],"crossmark-restriction":true},"short-container-title":["Journal of Intelligent &amp; Fuzzy Systems"],"published-print":{"date-parts":[[2020,7,17]]},"abstract":"<jats:p>\n                    \u00a0Let\n                    <jats:italic>G<\/jats:italic>\n                    be a finite simple graph. The line graph\n                    <jats:italic>L<\/jats:italic>\n                    \u00a0(\n                    <jats:italic>G<\/jats:italic>\n                    ) represents adjacencies between edges of\n                    <jats:italic>G<\/jats:italic>\n                    . We define first line simplicial complex\n                    <jats:italic>\u0394<\/jats:italic>\n                    <jats:sub>\n                      <jats:italic>L<\/jats:italic>\n                    <\/jats:sub>\n                    \u00a0(\n                    <jats:italic>G<\/jats:italic>\n                    ) of\n                    <jats:italic>G<\/jats:italic>\n                    containing Gallai and anti-Gallai simplicial complexes\n                    <jats:italic>\u0394<\/jats:italic>\n                    <jats:sub>\n                      <jats:italic>\u0393<\/jats:italic>\n                    <\/jats:sub>\n                    \u00a0(\n                    <jats:italic>G<\/jats:italic>\n                    ) and\n                    <jats:italic>\u0394<\/jats:italic>\n                    <jats:sub>\n                      <jats:italic>\u0393<\/jats:italic>\n                      \u2032\n                    <\/jats:sub>\n                    \u00a0(\n                    <jats:italic>G<\/jats:italic>\n                    ) (respectively) as spanning subcomplexes. We establish the relation between Euler characteristics of line and Gallai simplicial complexes. We prove that the shellability of a line simplicial complex does not hold in general. We give formula for Euler characteristic of line simplicial complex associated to Jahangir graph\n                    <jats:inline-formula>\n                      <mml:math xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" overflow=\"scroll\">\n                        <mml:mi mathvariant=\"script\">J<\/mml:mi>\n                      <\/mml:math>\n                    <\/jats:inline-formula>\n                    <jats:sub>\n                      <jats:italic>m<\/jats:italic>\n                      ,\n                      <jats:italic>n<\/jats:italic>\n                    <\/jats:sub>\n                    by presenting an algorithm.\n                  <\/jats:p>","DOI":"10.3233\/jifs-190369","type":"journal-article","created":{"date-parts":[[2020,5,8]],"date-time":"2020-05-08T14:47:51Z","timestamp":1588949271000},"page":"35-42","update-policy":"https:\/\/doi.org\/10.1177\/sage-journals-update-policy","source":"Crossref","is-referenced-by-count":0,"title":["Computational aspects of line simplicial complexes"],"prefix":"10.1177","volume":"39","author":[{"given":"Imran","family":"Ahmed","sequence":"first","affiliation":[{"name":"Department of Mathematics, COMSATS University Islamabad - Lahore Campus, Lahore, Pakistan"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Shahid","family":"Muhmood","sequence":"additional","affiliation":[{"name":"Department of Mathematics, COMSATS University Islamabad - Lahore Campus, Lahore, Pakistan"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"179","published-online":{"date-parts":[[2020,5,6]]},"reference":[{"key":"e_1_3_2_2_2","doi-asserted-by":"publisher","DOI":"10.3390\/sym11040489"},{"key":"e_1_3_2_3_2","doi-asserted-by":"publisher","DOI":"10.1080\/09720529.2015.1117221"},{"key":"e_1_3_2_4_2","doi-asserted-by":"publisher","DOI":"10.1090\/S0002-9947-1983-0690055-6"},{"key":"e_1_3_2_5_2","doi-asserted-by":"publisher","DOI":"10.1090\/S0002-9947-96-01534-6"},{"key":"e_1_3_2_6_2","doi-asserted-by":"crossref","unstructured":"BuchstaberV.M. and PanovT.E. Toric Topology Mathematical Surveys and Monographs 204 American Mathematical Society Providence RI 2015.","DOI":"10.1090\/surv\/204"},{"key":"e_1_3_2_7_2","doi-asserted-by":"publisher","DOI":"10.1016\/j.topol.2010.04.006"},{"issue":"1","key":"e_1_3_2_8_2","first-page":"45","article-title":"A New Algebraic Criterion for Shellability","volume":"34","author":"Dress A.","year":"1993","unstructured":"DressA., A New Algebraic Criterion for Shellability, Beitr Algebr Geom 34(1) (1993), 45\u201355.","journal-title":"Beitr Algebr Geom"},{"key":"e_1_3_2_9_2","doi-asserted-by":"publisher","DOI":"10.1016\/S0022-4049(97)00097-2"},{"key":"e_1_3_2_10_2","doi-asserted-by":"publisher","DOI":"10.1007\/BF02020961"},{"key":"e_1_3_2_11_2","doi-asserted-by":"publisher","DOI":"10.1007\/BF02854581"},{"key":"e_1_3_2_12_2","unstructured":"HatcherA. Algebraic Topology Cambridge University Press (2002)."},{"key":"e_1_3_2_13_2","volume-title":"Line Digraphs, Graph Theory and Applications","author":"Hemminger R.L.","year":"1972","unstructured":"HemmingerR.L., Line Digraphs, Graph Theory and Applications, Lecture Notes in Mathematics, 303 Springer, Berlin, Heidelberg, (1972)."},{"key":"e_1_3_2_14_2","doi-asserted-by":"publisher","DOI":"10.1007\/s00229-006-0044-4"},{"key":"e_1_3_2_15_2","article-title":"Computational Homology","volume":"157","author":"Kaczynski T.","year":"2004","unstructured":"KaczynskiT., MichaikowK. and MrozekM., Computational Homology, Applied Mathematics Sciences 157 Springer, (2004).","journal-title":"Applied Mathematics Sciences"},{"key":"e_1_3_2_16_2","doi-asserted-by":"publisher","DOI":"10.1016\/0012-365X(95)00109-A"},{"issue":"2","key":"e_1_3_2_17_2","first-page":"42","article-title":"On Pebbling Jahangir Graph","volume":"5","author":"Lourdusamy A.","year":"2011","unstructured":"LourdusamyA., JeyaseelanS.S. and MathivananT., On Pebbling Jahangir Graph, Gen Math Notes 5(2) (2011), 42\u201349.","journal-title":"Gen Math Notes"},{"key":"e_1_3_2_18_2","doi-asserted-by":"publisher","DOI":"10.1007\/s10255-005-0283-2"},{"key":"e_1_3_2_19_2","doi-asserted-by":"publisher","DOI":"10.1142\/S0219498817500177"},{"key":"e_1_3_2_20_2","doi-asserted-by":"publisher","DOI":"10.3233\/JIFS-181478"},{"key":"e_1_3_2_21_2","first-page":"193","article-title":"Line Graphs and Generalizations - A Survey","volume":"116","author":"Prisner E.","year":"1996","unstructured":"PrisnerE., Line Graphs and Generalizations - A Survey, Congressus Numerantum 116 (1996), 193\u2013229.","journal-title":"Congressus Numerantum"},{"key":"e_1_3_2_22_2","doi-asserted-by":"publisher","DOI":"10.1016\/S0021-9800(67)80068-1"},{"key":"e_1_3_2_23_2","doi-asserted-by":"publisher","DOI":"10.7146\/math.scand.a-102975"},{"key":"e_1_3_2_24_2","unstructured":"RotmanJ.J. 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