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## Linear-time construction of floor plans for plane triangulations | ||

Communications in Combinatorics and Optimization | ||

مقاله 6، دوره 8، شماره 4، اسفند 2023، صفحه 673-692 اصل مقاله (4.16 M)
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نوع مقاله: Original paper | ||

شناسه دیجیتال (DOI): 10.22049/cco.2022.27814.1361 | ||

نویسندگان | ||

Pinki Pinki^{*} ^{1}؛ Krishnendra Shekhawat^{2}
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^{1}Bits Pilani, Rajasthan | ||

^{2}Department of Mathematics, BITS Pilani, Pilani Campus, Rajasthan - 333031 | ||

چکیده | ||

This paper focuses on a novel approach for producing a floor plan (FP), either a rectangular (RFP) or an orthogonal (OFP) based on the concept of orthogonal drawings, which satisfies the adjacency relations given by any bi-connected plane triangulation $G$. Previous algorithms for constructing a FP are primarily restricted to the cases given below: \begin{enumerate}[(i)] \item A bi-connected plane triangulation without separating triangles (STs) and with at most 4 corner implying paths (CIPs), known as properly triangulated planar graph (PTPG). \item A bi-connected plane triangulation with an exterior face of length 3 and no CIPs, known as maximal planar graph (MPG). \end{enumerate} The FP obtained in the above two cases is a RFP or an OFP respectively. In this paper, we present the construction of a FP (RFP if exists, else an OFP), for a bi-connected plane triangulation $G$ in linear-time. | ||

کلیدواژهها | ||

orthogonal floor plan؛ plane triangulation؛ orthogonal drawing؛ triconnected plane graph؛ algorithm | ||

مراجع | ||

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