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CHI
2009
ACM
14 years 8 months ago
Graph sketcher: extending illustration to quantitative graphs
Scientists, engineers, and educators commonly need to make graphs that quickly illustrate quantitative ideas yet are not based on specific data sets. We call these graphs quantita...
Robin Stewart, m. c. schraefel
ICALP
2000
Springer
13 years 11 months ago
Computing the Girth of a Planar Graph
We give an O(n log n) algorithm for computing the girth (shortest cycle) of an undirected n-vertex planar graph. Our solution extends to any graph of bounded genus. This improves u...
Hristo Djidjev
CORR
1999
Springer
145views Education» more  CORR 1999»
13 years 7 months ago
Subgraph Isomorphism in Planar Graphs and Related Problems
We solve the subgraph isomorphism problem in planar graphs in linear time, for any pattern of constant size. Our results are based on a technique of partitioning the planar graph ...
David Eppstein
DCG
2007
102views more  DCG 2007»
13 years 7 months ago
How to Exhibit Toroidal Maps in Space
Steinitz’s Theorem states that a graph is the 1-skeleton of a convex polyhedron if and only if it is 3-connected and planar. The polyhedron is called a geometric realization of ...
Dan Archdeacon, C. Paul Bonnington, Joanna A. Elli...
CORR
2011
Springer
202views Education» more  CORR 2011»
13 years 2 months ago
High Degree Vertices, Eigenvalues and Diameter of Random Apollonian Networks
ABSTRACT. Upon the discovery of power laws [8, 16, 30], a large body of work in complex network analysis has focused on developing generative models of graphs which mimick real-wor...
Alan M. Frieze, Charalampos E. Tsourakakis