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In this context, we introduce the term higher\u2010order property to describe characteristics of the analyzed data set that span beyond the local neighborhood of a single state. For the analysis of such properties, we elaborate why sequence diagrams are generally preferred over node\u2010link diagrams in the literature. Consequently, we provide an overview of existing adaptations to node\u2010link diagrams to trade\u2010off support for first\u2010order property analysis in favor of higher\u2010order property analysis, potentially combining the strengths of both visualization types. To better understand the impact of this tradeoff, we present a comparative study of static sequence diagrams and spline\u2010based node\u2010link diagrams for five perception tasks on small\u2010scale synthetic state transition sequence data. We focus on static stimuli of small\u2010scale data sets to model the post\u2010filtering perceptual process rather than an end\u2010to\u2010end analytical workflow. The study confirmed hypotheses regarding the superior user performance with the sequence diagram for the perception of higher\u2010order properties. To demonstrate the relevance of higher\u2010order property analysis for real\u2010world problems, we present an application scenario from the cybersecurity domain. Based on the results of our study, we apply a sequence diagram\u2010based prototype to this application scenario. All supplemental materials are available at\n                    <jats:ext-link xmlns:xlink=\"http:\/\/www.w3.org\/1999\/xlink\" xlink:href=\"https:\/\/osf.io\/r4ycd\/\">https:\/\/osf.io\/r4ycd\/<\/jats:ext-link>\n                    .\n                  <\/jats:p>","DOI":"10.1111\/cgf.70483","type":"journal-article","created":{"date-parts":[[2026,6,11]],"date-time":"2026-06-11T10:31:54Z","timestamp":1781173914000},"update-policy":"https:\/\/doi.org\/10.1002\/crossmark_policy","source":"Crossref","is-referenced-by-count":0,"title":["Visual Identification and Comparison of Higher Order Properties in State Transition Sequences"],"prefix":"10.1111","author":[{"ORCID":"https:\/\/orcid.org\/0000-0001-5284-4350","authenticated-orcid":false,"given":"T.","family":"Mertz","sequence":"first","affiliation":[{"name":"Fraunhofer IGD  Germany"},{"name":"TU Darmstadt  Germany"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-0564-2788","authenticated-orcid":false,"given":"S. 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