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A Fast General Methodology for Information-Theoretically Optimal Encodings of Graphs

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What this work says

Outgoing claims: the papers this work cites, builds on, or argues with.

inferredcites →https://doi.org/10.1007/bf00288971openalex-snapshot
Representation of graphs
inferredcites →https://doi.org/10.1016/0022-0000(86)90030-9openalex-snapshot
Finding small simple cycle separators for 2-connected planar graphs
inferredcites →https://doi.org/10.1016/0166-218x(84)90126-4openalex-snapshot
On the succinct representation of graphs
inferredcites →https://doi.org/10.1016/0166-218x(90)90011-zopenalex-snapshot
Succinct representation of general unlabeled graphs
inferredcites →https://doi.org/10.1016/0166-218x(93)e0150-wopenalex-snapshot
Short encodings of planar graphs and maps
inferredcites →https://doi.org/10.1016/s0019-9958(83)80004-7openalex-snapshot
Succinct representations of graphs
inferredcites →https://doi.org/10.1016/s0019-9958(86)80009-2openalex-snapshot
A note on succinct representations of graphs
inferredcites →https://doi.org/10.1023/a:1009720402326openalex-snapshot
Simple and Efficient Graph Compression Schemes for Dense and Complement Graphs
inferredcites →https://doi.org/10.1109/tit.1975.1055349openalex-snapshot
Universal codeword sets and representations of the integers
inferredcites →https://doi.org/10.1137/0136016openalex-snapshot
A Separator Theorem for Planar Graphs
inferredcites →https://doi.org/10.1137/0405049openalex-snapshot
Implicat Representation of Graphs
inferredcites →https://doi.org/10.1137/s0895480197325031openalex-snapshot
Linear-Time Succinct Encodings of Planar Graphs via Canonical Orderings
inferredcites →https://doi.org/10.4153/cjm-1962-002-9openalex-snapshot
A Census of Planar Triangulations
inferredcites →https://doi.org/10.4153/cjm-1963-029-xopenalex-snapshot
A Census of Planar Maps

What points at this work

Incoming claims: where this work appears in other papers’ reference lists and arguments.

inferred← citeshttps://doi.org/10.2139/ssrn.4805893openalex-extracted
Succinct Planar Encoding with Minor Operations
inferred← citeshttps://doi.org/10.1007/11785293_38openalex-snapshot
Linear-Time Algorithms for Tree Root Problems
inferred← citeshttps://doi.org/10.1007/3-540-36151-0_17openalex-snapshot
Compact Encodings of Planar Orthogonal Drawings
inferred← citeshttps://doi.org/10.1007/3-540-36494-3_44openalex-snapshot
An Information-Theoretic Upper Bound of Planar Graphs Using Triangulation
inferred← citeshttps://doi.org/10.1007/3-540-45061-0_83openalex-snapshot
Optimal Coding and Sampling of Triangulations
inferred← citeshttps://doi.org/10.1007/978-0-8176-4904-3openalex-snapshot
Towards an Information Theory of Complex Networks: Statistical Methods and Applications
inferred← citeshttps://doi.org/10.1007/978-0-8176-4904-3_2openalex-snapshot
An Information-Theoretic Upper Bound on Planar Graphs Using Well-Orderly Maps
inferred← citeshttps://doi.org/10.1007/978-3-030-81885-2_1openalex-snapshot
Introduction
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A Fast and Compact Web Graph Representation
inferred← citeshttps://doi.org/10.1007/978-3-540-77891-2_12openalex-snapshot
A Compact Encoding of Plane Triangulations with Efficient Query Supports
inferred← citeshttps://doi.org/10.1007/978-3-642-13509-5_13openalex-snapshot
Succinct Representations of Separable Graphs
inferred← citeshttps://doi.org/10.1007/978-981-99-8132-8_7openalex-snapshot
On Searching for Minimal Integer Representation of Undirected Graphs
inferred← citeshttps://doi.org/10.1007/s00453-006-0114-8openalex-snapshot
Optimal Coding and Sampling of Triangulations
inferred← citeshttps://doi.org/10.1007/s00453-013-9815-yopenalex-snapshot
Linear-Time Algorithms for Tree Root Problems
inferred← citeshttps://doi.org/10.1007/s00453-021-00861-4openalex-snapshot
Succinct Encoding of Binary Strings Representing Triangulations
inferred← citeshttps://doi.org/10.1007/s13740-019-00102-6openalex-snapshot
Dynamic Discovery of Type Classes and Relations in Semantic Web Data
inferred← citeshttps://doi.org/10.1016/j.amc.2011.03.040openalex-snapshot
Linear-time compression of 2-manifold polygon meshes into information-theoretically optimal number of bits
inferred← citeshttps://doi.org/10.1016/j.artint.2016.07.003openalex-snapshot
Building knowledge maps of Web graphs
inferred← citeshttps://doi.org/10.1016/j.comgeo.2020.101630openalex-snapshot
Fast and compact planar embeddings
inferred← citeshttps://doi.org/10.1016/j.comgeo.2022.101922openalex-snapshot
Navigating planar topologies in near-optimal space and time
inferred← citeshttps://doi.org/10.1016/j.dam.2013.05.028openalex-snapshot
Tight and simple Web graph compression for forward and reverse neighbor queries
inferred← citeshttps://doi.org/10.1016/j.ipl.2004.06.004openalex-snapshot
Graph compression and the zeros of polynomials
inferred← citeshttps://doi.org/10.1016/j.ipl.2008.04.017openalex-snapshot
Quick encoding of plane graphs in bits per edge
inferred← citeshttps://doi.org/10.1016/j.ipl.2010.06.014openalex-snapshot
A compact encoding of plane triangulations with efficient query supports
inferred← citeshttps://doi.org/10.1016/j.tcs.2025.115682openalex-snapshot
Space-efficient graph coarsening with applications to succinct planar encodings
inferred← citeshttps://doi.org/10.1017/cbo9781316588284.010openalex-snapshot
Graphs
inferred← citeshttps://doi.org/10.1109/bigcomp.2017.7881738openalex-snapshot
On succinct representation of directed graphs
inferred← citeshttps://doi.org/10.1109/compsac.2018.00135openalex-snapshot
On Graph Representation with Smallest Numerical Encoding
inferred← citeshttps://doi.org/10.1109/compsac.2018.00136openalex-snapshot
Numerical Representation of Modular Graphs
inferred← citeshttps://doi.org/10.1109/ictai.2017.00061openalex-snapshot
On the Numerical Representation of Labeled Graphs with Self-Loops
inferred← citeshttps://doi.org/10.1109/smc.2014.6973948openalex-snapshot
Bijections for the numeric representation of labeled graphs
inferred← citeshttps://doi.org/10.1109/viz.2009.31openalex-snapshot
Total or Selective Decompression of a Compressed Plane Triangulation
inferred← citeshttps://doi.org/10.1137/120879142openalex-snapshot
Linear-Time Compression of Bounded-Genus Graphs into Information-Theoretically Optimal Number of Bits
inferred← citeshttps://doi.org/10.1137/s0097539702411381openalex-snapshot
Orderly Spanning Trees with Applications
inferred← citeshttps://doi.org/10.1137/s0097539799364092openalex-snapshot
Succinct Representation of Balanced Parentheses and Static Trees
inferred← citeshttps://doi.org/10.1145/1341012.1341080openalex-snapshot
Selective decompression of vector maps
inferred← citeshttps://doi.org/10.1145/1361192.1361194openalex-snapshot
Compact dictionaries for variable-length keys and data with applications
inferred← citeshttps://doi.org/10.1145/1361192.1361196openalex-snapshot
Dissections, orientations, and trees with applications to optimal mesh encoding and random sampling
inferred← citeshttps://doi.org/10.1145/1841909.1841913openalex-snapshot
Fast and Compact Web Graph Representations
inferred← citeshttps://doi.org/10.1184/r1/6603281openalex-snapshot
An Experimental Analysis of a Compact Graph Representation
inferred← citeshttps://doi.org/10.14722/ndss.2016.23052openalex-snapshot
Privacy-Preserving Shortest Path Computation
inferred← citeshttps://doi.org/10.48550/arxiv.1006.0809openalex-snapshot
Tight and simple Web graph compression
inferred← citeshttps://doi.org/10.48550/arxiv.1806.01799openalex-snapshot
Survey and Taxonomy of Lossless Graph Compression and Space-Efficient Graph Representations
inferred← citeshttps://doi.org/10.5555/1070432.1070434openalex-snapshot
Dictionaries using variable-length keys and data, with applications
inferred← citeshttps://doi.org/10.5555/365411.365518openalex-snapshot
Orderly Spanning Trees with Applications to Graph Encoding and Graph Drawing
inferred← citeshttps://doi.org/10.5555/545381.545409openalex-snapshot
Linear-time compression of bounded-genus graphs into information-theoretically optimal number of bits
inferred← citeshttps://doi.org/10.5555/644108.644219openalex-snapshot
Compact Representations of Separable Graphs
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