{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,7,23]],"date-time":"2026-07-23T00:31:38Z","timestamp":1784766698029,"version":"3.55.0"},"reference-count":0,"publisher":"Combinatorial Press","issue":"1","content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Ars Comb."],"published-print":{"date-parts":[[2024,12,31]]},"abstract":"<jats:p>This paper investigates the Turan-like problem for \\(\\mathcal{K}^-_{r + 1}\\)-free \\((r \\geq 2)\\) unbalanced signed graphs, where \\(\\mathcal{K}^-_{r + 1}\\) is the set of unbalanced signed complete graphs with \\(r+1\\) vertices. The maximum number of edges and the maximum index for \\(\\mathcal{K}^-_{r + 1}\\)-free unbalanced signed graphs are given. Moreover, the extremal \\(\\mathcal{K}^-_{r + 1}\\)-free unbalanced signed graphs with the maximum index are characterized.<\/jats:p>","DOI":"10.61091\/ars161-05","type":"journal-article","created":{"date-parts":[[2025,1,8]],"date-time":"2025-01-08T19:49:55Z","timestamp":1736365795000},"page":"61-73","source":"Crossref","is-referenced-by-count":4,"title":["Extremal Results for \\(K^-_{r+1}\\) -free Unbalanced Signed Graphs"],"prefix":"10.61091","volume":"161","author":[{"name":"College of Mathematics and Statistics, Hunan Normal University, small Changsha, Hunan 410081, China","sequence":"first","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Zhuang","family":"Xiong","sequence":"first","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Yaoping","family":"Hou","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"name":"College of Mathematics and Statistics, Hunan Normal University, small Changsha, Hunan 410081, China","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]}],"member":"39747","published-online":{"date-parts":[[2024,12,31]]},"container-title":["Ars Combinatoria"],"original-title":[],"deposited":{"date-parts":[[2025,1,8]],"date-time":"2025-01-08T19:50:05Z","timestamp":1736365805000},"score":1,"resource":{"primary":{"URL":"https:\/\/combinatorialpress.com\/ars-articles\/volume-161\/extremal-results-for-mathcalk-_r-1-free-unbalanced-signed-graphs\/"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2024,12,31]]},"references-count":0,"journal-issue":{"issue":"1","published-online":{"date-parts":[[2024,12,31]]},"published-print":{"date-parts":[[2024,12,31]]}},"URL":"https:\/\/doi.org\/10.61091\/ars161-05","relation":{},"ISSN":["0381-7032","2817-5204"],"issn-type":[{"value":"0381-7032","type":"print"},{"value":"2817-5204","type":"electronic"}],"subject":[],"published":{"date-parts":[[2024,12,31]]}}}