The Keçeci Layout: A Cross-Disciplinary Graphical Framework for Structural Analysis of Ordered Systems, Mehmet Keçeci, 2025

The Keçeci Layout: A Cross-Disciplinary Graphical Framework for Structural Analysis of Ordered Systems, Mehmet Keçeci, 2025 | Authorea try { document.documentElement.classList.add('js'); } catch (e) { } var _gaq = _gaq || []; _gaq.push(['_setAccount', 'G-8VDV14Y67G']); _gaq.push(['_trackPageview']); (function() { var ga = document.createElement('script'); ga.type = 'text/javascript'; ga.async = true; ga.src = ('https:' == document.location.protocol ? 'https://ssl' : 'http://www') + '.google-analytics.com/ga.js'; var s = document.getElementsByTagName('script')[0]; s.parentNode.insertBefore(ga, s); })(); Skip to main content Preprints Collections Wiley Open Research IET Open Research Ecological Society of Japan All Collections About About Authorea FAQs Contact Us Quick Search anywhere Search for preprint articles, keywords, etc. Search Search ADVANCED SEARCH SCROLL This is a preprint and has not been peer reviewed. Data may be preliminary. 3 July 2025 V1 Latest version Share on The Keçeci Layout: A Cross-Disciplinary Graphical Framework for Structural Analysis of Ordered Systems, Mehmet Keçeci, 2025 Author : Mehmet Keçeci 0000-0001-9937-9839 [email protected] Authors Info & Affiliations https://doi.org/10.22541/au.175156702.26421899/v1 229 views 150 downloads Contents Abstract Supplementary Material Information & Authors Metrics & Citations View Options References Figures Tables Media Share Abstract The visualization of scientific data is a fundamental step in uncovering hidden patterns and relationships within complex systems. While conventional force-directed graph layout algorithms (e.g., spring layout) are effective at displaying the general topology and clustering tendencies of systems, they possess a critical shortcoming: they are inherently non-deterministic and obscure the natural, sequential, or index-based identities of nodes. This poses a significant limitation when analysing systems that contain an intrinsic sequential logic, such as quantum circuits, metabolic pathways, crystal structures, or chronological data structures. This paper introduces the "Keçeci Layout," a deterministic and order-preserving algorithm designed to fill this analytical gap. The algorithm operates by arranging nodes sequentially along a primary axis according to their IDs, employing a predictable zigzag pattern on a secondary axis to prevent node overlaps. This approach establishes a direct and intuitive bridge between a system's abstract data structure (e.g., qubit indices, reaction steps) and its visual representation. To demonstrate the versatility and efficacy of the Keçeci Layout, four case studies from distinct scientific disciplines are presented: Chemistry, Physics, Biology, Quantum Computing, Materials Science, Molecular Biology, Computer Science, etc. In conclusion, the Keçeci Layout is proven to be a powerful scientific tool that offers analytical depth by remaining faithful to the underlying data structure, moving beyond purely aesthetic presentation. The algorithm provides a significant advantage over conventional methods, particularly for the visual analysis of ordered, hierarchical, or index-dependent systems. Supplementary Material File (the keçeci layout a cross-disciplinary graphical framework for structural analysis of ordered systems.pdf) Download 2.41 MB Information & Authors Information Version history V1 Version 1 03 July 2025 Copyright This work is licensed under a Creative Commons Attribution 4.0 International License Keywords deterministic algorithm deterministic layout graph layout graph visualization interdisciplinary data visualization kececilayout keçeci deterministic zigzag layout keçeci layout keçeci zigzag layout algorithm node positioning order-preserving algorithms scientific computing sequential layout structural analysis zigzag layout Authors Affiliations Mehmet Keçeci 0000-0001-9937-9839 [email protected] View all articles by this author Metrics & Citations Metrics Article Usage 229 views 150 downloads .FvxKWukQNSOunydq8rnd { width: 100px; } Citations Download citation Mehmet Keçeci. The Keçeci Layout: A Cross-Disciplinary Graphical Framework for Structural Analysis of Ordered Systems, Mehmet Keçeci, 2025. Authorea . 03 July 2025. DOI: https://doi.org/10.22541/au.175156702.26421899/v1 If you have the appropriate software installed, you can download article citation data to the citation manager of your choice. Simply select your manager software from the list below and click Download. For more information or tips please see 'Downloading to a citation manager' in the Help menu . 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