Properties of Planar Graphs with Uniform Vertex and Face Structure PDF Download
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Author: Joseph Malkevitch
Publisher: American Mathematical Soc.
ISBN: 0821812998
Category : Geometry, Algebraic
Languages : en
Pages : 124
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Book Description
Author: Joseph Malkevitch
Publisher: American Mathematical Soc.
ISBN: 0821812998
Category : Geometry, Algebraic
Languages : en
Pages : 124
Get Book Here
Book Description
Author: Joseph Malkevitch
Publisher:
ISBN:
Category :
Languages : en
Pages : 116
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Book Description
Author: Joseph Malkevitch
Publisher:
ISBN: 9780608096070
Category :
Languages : en
Pages : 120
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Book Description
Author:
Publisher:
ISBN:
Category :
Languages : en
Pages : 116
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Book Description
Author: Takao Nishizeki
Publisher: World Scientific Publishing Company
ISBN: 9813106409
Category : Computers
Languages : en
Pages : 310
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Book Description
The book presents the important fundamental theorems and algorithms on planar graph drawing with easy-to-understand and constructive proofs. Extensively illustrated and with exercises included at the end of each chapter, it is suitable for use in advanced undergraduate and graduate level courses on algorithms, graph theory, graph drawing, information visualization and computational geometry. The book will also serve as a useful reference source for researchers in the field of graph drawing and software developers in information visualization, VLSI design and CAD.
Author: William T. Trotter
Publisher: American Mathematical Soc.
ISBN: 9780821871164
Category : Mathematics
Languages : en
Pages : 170
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Book Description
This book contains research articles and extended abstracts submitted by participants in the Planar Graphs Workshop held at DIMACS in November 1991, one of four workshops held during the DIMACS Special Year on Graph Theory and Algorithms. With more than seventy participants, the workshop drew many of the top experts in this area. The book covers a wide range of topics, including enumeration, characterization problems, algorithms, extremal problems, and network flows and geometry.
Author: Andre Löffler
Publisher: BoD – Books on Demand
ISBN: 3958261469
Category : Mathematics
Languages : en
Pages : 174
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Book 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.
Author: Takao Nishizeki
Publisher: Courier Corporation
ISBN: 048646671X
Category : Mathematics
Languages : en
Pages : 242
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Book Description
This text features most of the important theorems and algorithms for planar graphs. Suitable as a textbook, it is also useful for researchers and includes an extensive reference section. 1988 edition.
Author: Jonathan L. Gross
Publisher: Courier Corporation
ISBN: 0486417417
Category : Mathematics
Languages : en
Pages : 386
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Book Description
Iintroductory treatment emphasizes graph imbedding but also covers connections between topological graph theory and other areas of mathematics. Authors explore the role of voltage graphs in the derivation of genus formulas, explain the Ringel-Youngs theorem, and examine the genus of a group, including imbeddings of Cayley graphs. Many figures. 1987 edition.
Author: Lesvia Elena Ruiz Velázquez
Publisher:
ISBN:
Category :
Languages : en
Pages : 62
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Book Description
This thesis deals with planar drawings of planar graphs such that each interior face has a prescribed area. Our work is divided into two main sections. The rst one deals with straight-line drawings and the second one with orthogonal drawings. For straight-line drawings, it was known that such drawings exist for all planar graphs with maximum degree 3. We show here that such drawings exist for all planar partial 3-trees, i.e., subgraphs of a triangulated planar graph obtained by repeatedly inserting a vertex in one triangle and connecting it to all vertices of the triangle. Moreover, vertices have rational coordinates if the face areas are rational, and we can bound the resolution. For orthogonal drawings, we give an algorithm to draw triconnected planar graphs with maximum degree 3. This algorithm produces a drawing with at most 8 bends per face and 4 bends per edge, which improves the previous known result of 34 bends per face. Both vertices and bends have rational coordinates if the face areas are rational.
