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Browsing Department of Mathematics by Subject "Adjacency"

Browsing Department of Mathematics by Subject "Adjacency"

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  • Shekhawat, Krishnendra (Elsevier, 2014-09)
    In most applications, such as urbanism and architecture, randomly utilizing given spaces is certainly not favorable. This study proposes an explicit algorithm for utilizing the given spaces inside a rectangle with satisfactory ...
  • Shekhawat, Krishnendra (Elsevier, 2015-09)
    This paper presents a systematic pathway for the floor plan design when given the shape of required floor plan, the list of spaces, the dimensions of each space and the weighted matrix of required adjacencies between the ...
  • Shekhawat, Krishnendra (Elsevier, 2016-03)
    It can be found quite often in the literature that many well-known architects have employed either the golden rectangle or the Fibonacci rectangle in their works. On contrary, it is rare to find any specific reason for ...
  • Shekhawat, Krishnendra (Elsevier, 2017-10)
    This work consider the problem of rectilinear arrangement which is about arranging given rectangular objects of different sizes in the frame of a given rectilinear polygon while considering dimension and position of each ...
  • Shekhawat, Krishnendra (Elsevier, 2018-08)
    A rectangular floor plan (RFP) is a floor plan in which plan's boundary and each room is a rectangle. The problem is to construct a RFP for the given adjacency requirements, if it exists. In this paper, we aim to ...
  • Shekhawat, Krishnendra (CUP, 2018-05)
    An important task in the initial stages of most architectural design processes is the design of planar floor plans, that are composed of non-overlapping rooms divided from each other by walls while satisfying given topological ...
  • Shekhawat, Krishnendra (Elsevier, 2023-01)
    Existing graph-theoretic approaches to construct floor-plans for a given plane graph are mainly restricted to floor-plans with rectangular boundary. This paper introduces floor-plans with L-shaped boundary (boundary with ...

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