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» Enumeration problems for classes of self-similar graphs
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JCT
2007
90views more  JCT 2007»
13 years 5 months ago
Enumeration problems for classes of self-similar graphs
We describe a general construction principle for a class of self-similar graphs. For various enumeration problems, we show that this construction leads to polynomial systems of rec...
Elmar Teufl, Stephan Wagner
COMBINATORICS
2004
74views more  COMBINATORICS 2004»
13 years 5 months ago
Enumerative Problems Inspired by Mayer's Theory of Cluster Integrals
The basic functional equations for connected and 2-connnected graphs can be traced back to the statistical physicists Mayer and Husimi. They play an essential role in establishing...
Pierre Leroux
ISAAC
2004
Springer
153views Algorithms» more  ISAAC 2004»
13 years 10 months ago
Canonical Data Structure for Interval Probe Graphs
The class of interval probe graphs is introduced to deal with the physical mapping and sequencing of DNA as a generalization of interval graphs. The polynomial time recognition al...
Ryuhei Uehara
DIS
2007
Springer
13 years 9 months ago
Time and Space Efficient Discovery of Maximal Geometric Graphs
A geometric graph is a labeled graph whose vertices are points in the 2D plane with an isomorphism invariant under geometric transformations such as translation, rotation, and scal...
Hiroki Arimura, Takeaki Uno, Shinichi Shimozono
ICALP
2011
Springer
12 years 8 months ago
Compact Navigation and Distance Oracles for Graphs with Small Treewidth
Given an unlabeled, unweighted, and undirected graph with n vertices and small (but not necessarily constant) treewidth k, we consider the problem of preprocessing the graph to bui...
Arash Farzan, Shahin Kamali