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{ "item_title" : "Constrained Graph Layouts", "item_author" : [" Andre Löffler "], "item_description" : "Constraining graph layouts - that is, restricting the placement of vertices and the routing of edges to obey certain constraints - is common practice in graph drawing. In this book, we discuss algorithmic results on two different restriction types: placing vertices on the outer face and on the integer grid. For the first type, we look into the outer k-planar and outer k-quasi-planar graphs, as well as giving a linear-time algorithm to recognize full and closed outer k-planar graphs Monadic Second-order Logic. For the second type, we consider the problem of transferring a given planar drawing onto the integer grid while perserving the original drawings topology; we also generalize a variant of Cauchy's rigidity theorem for orthogonal polyhedra of genus 0 to those of arbitrary genus.", "item_img_path" : "https://covers1.booksamillion.com/covers/bam/3/95/826/146/3958261469_b.jpg", "price_data" : { "retail_price" : "47.00", "online_price" : "47.00", "our_price" : "47.00", "club_price" : "47.00", "savings_pct" : "0", "savings_amt" : "0.00", "club_savings_pct" : "0", "club_savings_amt" : "0.00", "discount_pct" : "10", "store_price" : "" } }
Constrained Graph Layouts|Andre Löffler

Constrained Graph Layouts : Vertices on the Outer Face and on the Integer Grid

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Overview

Constraining graph layouts - that is, restricting the placement of vertices and the routing of edges to obey certain constraints - is common practice in graph drawing. In this book, we discuss algorithmic results on two different restriction types: placing vertices on the outer face and on the integer grid. For the first type, we look into the outer k-planar and outer k-quasi-planar graphs, as well as giving a linear-time algorithm to recognize full and closed outer k-planar graphs Monadic Second-order Logic. For the second type, we consider the problem of transferring a given planar drawing onto the integer grid while perserving the original drawings topology; we also generalize a variant of Cauchy's rigidity theorem for orthogonal polyhedra of genus 0 to those of arbitrary genus.

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Details

  • ISBN-13: 9783958261464
  • ISBN-10: 3958261469
  • Publisher: Wurzburg University Press
  • Publish Date: January 2021
  • Dimensions: 9.61 x 6.69 x 0.37 inches
  • Shipping Weight: 0.62 pounds
  • Page Count: 172

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