Area, perimeter, height, and width of rectangle visibility graphs

DOI10.1007/s10878-023-01084-9arXiv2208.09961MaRDI QIDQ6084671

John S. IV. Caughman, Joshua D. Laison, Colin L. Starr, Charles L. Dunn, Nancy Ann Neudauer

Publication date: 6 November 2023

Published in: Journal of Combinatorial Optimization (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2208.09961

zbMATH Keywords

visibility graphbar visibility graphrectangle visibility graph

Mathematics Subject Classification ID

Graph theory (including graph drawing) in computer science (68R10) Computer graphics; computational geometry (digital and algorithmic aspects) (68U05) Graph representations (geometric and intersection representations, etc.) (05C62)

Cites Work

• Area requirement of visibility representations of trees
• Ortho-polygon visibility representations of embedded graphs
• Unit rectangle visibility graphs
• Representing a planar graph by vertical lines joining different levels
• A unified approach to visibility representations of planar graphs
• Rectangle-visibility representations of bipartite graphs
• A general notion of visibility graphs
• On representations of some thickness-two graphs
• An application of graph coloring to printed circuit testing
• Rectangle-visibility Layouts of Unions and Products of Trees
• Coloring Ordinary Maps, Maps of Empires, and Maps of the Moon
• A Visibility Representation for Graphs in Three Dimensions
• RECTANGLE AND BOX VISIBILITY GRAPHS IN 3D
• 3D Visibility Representations of 1-planar Graphs
• Ortho-polygon visibility representations of 3-connected 1-plane graphs
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