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A survey of the reconstruction conjecture

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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/bf01299955openalex-snapshot
On the problem of reconstructing a tournament from subtournaments
inferredcites →https://doi.org/10.1007/bf02280291openalex-snapshot
Operations with structures
inferredcites →https://doi.org/10.1007/bfb0059415openalex-snapshot
Recent Trends in Graph Theory
inferredcites →https://doi.org/10.1007/bfb0059425openalex-snapshot
A graph with p points and enough distinct (p-2)-order subgraphs is reconstructible
inferredcites →https://doi.org/10.1007/bfb0060099openalex-snapshot
The Many Facets of Graph Theory
inferredcites →https://doi.org/10.1007/bfb0060110openalex-snapshot
Reconstructing graphs
inferredcites →https://doi.org/10.1007/bfb0060119openalex-snapshot
On reconstruction of graphs
inferredcites →https://doi.org/10.1007/bfb0066444openalex-snapshot
Reconstructing combinatorial geometries
inferredcites →https://doi.org/10.1016/0012-365x(72)90007-6openalex-snapshot
Reconstruction of maximal outerplanar graphs
inferredcites →https://doi.org/10.1016/0012-365x(74)90062-4openalex-snapshot
On reconstructing maximal outerplanar graphs
inferredcites →https://doi.org/10.1016/0012-365x(74)90064-8openalex-snapshot
Some basic observations on Kelly's conjecture for graphs
inferredcites →https://doi.org/10.1016/0095-8956(71)90024-4openalex-snapshot
On a conjecture concerning the reconstruction of graphs
inferredcites →https://doi.org/10.1016/0095-8956(72)90026-3openalex-snapshot
A simpler counterexample to the Reconstruction Conjecture for denumerable graphs
inferredcites →https://doi.org/10.1016/0095-8956(72)90068-8openalex-snapshot
A note on the line reconstruction problem
inferredcites →https://doi.org/10.1016/0095-8956(73)90028-2openalex-snapshot
Reconstructing the degree pair sequence of a digraph
inferredcites →https://doi.org/10.1016/0095-8956(74)90046-xopenalex-snapshot
Determining connectedness from subdigraphs
inferredcites →https://doi.org/10.1016/0095-8956(74)90066-5openalex-snapshot
The reconstruction of outerplanar graphs
inferredcites →https://doi.org/10.1016/0097-3165(71)90038-0openalex-snapshot
An investigation of Bhattacharya-type designs
inferredcites →https://doi.org/10.1016/s0021-9800(69)80063-3openalex-snapshot
A counterexample to the countable version of a conjecture of Ulam
inferredcites →https://doi.org/10.1016/s0021-9800(70)80088-6openalex-snapshot
On nonreconstructable tournaments
inferredcites →https://doi.org/10.1017/s0305004100044364openalex-snapshot
On Kelly's congruence theorem for trees
inferredcites →https://doi.org/10.1080/00029890.1970.11992413openalex-snapshot
Ulam's Conjecture and Graph Reconstructions
inferredcites →https://doi.org/10.1080/0025570x.1971.11976153openalex-snapshot
On Reconstruction of Matrices
inferredcites →https://doi.org/10.1090/s0002-9939-1969-0232696-4openalex-snapshot
On Reconstructing a Graph
inferredcites →https://doi.org/10.1090/s0002-9939-1971-0286699-3openalex-snapshot
Reconstructing graphs
inferredcites →https://doi.org/10.1111/j.1749-6632.1970.tb45118.xopenalex-snapshot
ON RECONSTRUCTING DISCONNECTED GRAPHS
inferredcites →https://doi.org/10.21236/ad0705364openalex-snapshot
GRAPH THEORY
inferredcites →https://doi.org/10.2140/pjm.1957.7.961openalex-snapshot
A congruence theorem for trees
inferredcites →https://doi.org/10.2140/pjm.1964.14.191openalex-snapshot
On some mappings related to graphs
inferredcites →https://doi.org/10.2140/pjm.1969.31.281openalex-snapshot
On Ulam’s conjecture for separable graphs
inferredcites →https://doi.org/10.2140/pjm.1974.52.331openalex-snapshot
Reconstructing infinite graphs
inferredcites →https://doi.org/10.2307/1911908openalex-snapshot
The Theory of Graphs and Its Applications
inferredcites →https://doi.org/10.2307/2004649openalex-snapshot
Proof Techniques in Graph Theory
inferredcites →https://doi.org/10.2307/2308754openalex-snapshot
An Elementary Theorem on Graphs
inferredcites →https://doi.org/10.2307/2333777openalex-snapshot
The Theory of Graphs and its Applications.
inferredcites →https://doi.org/10.4153/cjm-1966-079-8openalex-snapshot
The Reconstruction of a Tree from its Maximal Subtrees
inferredcites →https://doi.org/10.4153/cjm-1969-149-3openalex-snapshot
Reconstruction of Cacti
inferredcites →https://doi.org/10.4153/cjm-1970-007-4openalex-snapshot
Reconstruction of Trees
inferredcites →https://doi.org/10.4153/cmb-1974-106-9openalex-snapshot
Unicyclic Graphs Satisfy Harary′s Conjecture

What points at this work

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

inferred← citeshttps://doi.org/10.1002/9781394209385.refsopenalex-snapshot
References
inferred← citeshttps://doi.org/10.1002/jgt.22741openalex-snapshot
Seurat games on Stockmeyer graphs
inferred← citeshttps://doi.org/10.1002/jgt.3190010306openalex-snapshot
Graph reconstruction—a survey
inferred← citeshttps://doi.org/10.1002/jgt.3190010309openalex-snapshot
Computer reconstruction of small graphs
inferred← citeshttps://doi.org/10.1002/rsa.20899openalex-snapshot
Shotgun assembly of random jigsaw puzzles
inferred← citeshttps://doi.org/10.1007/3-540-28520-2_6openalex-snapshot
Randomized Algorithms and Complexity Classes
inferred← citeshttps://doi.org/10.1007/3-540-28520-2_8openalex-snapshot
Other Public-Key Cryptosystems and Protocols
inferred← citeshttps://doi.org/10.1007/3-540-54458-5_76openalex-snapshot
On the complexity of graph reconstruction
inferred← citeshttps://doi.org/10.1007/3-540-57163-9_24openalex-snapshot
Easily checked self-reducibility
inferred← citeshttps://doi.org/10.1007/978-3-030-58150-3_22openalex-snapshot
Realization Problems on Reachability Sequences
inferred← citeshttps://doi.org/10.1007/978-3-031-43380-1_2openalex-snapshot
Reconstructing Graphs from Connected Triples
inferred← citeshttps://doi.org/10.1007/978-3-319-11478-1_5openalex-snapshot
Ordered Sets, Induction, and the Axiom of Choice
inferred← citeshttps://doi.org/10.1007/978-3-319-41168-2_13openalex-snapshot
Reconstructing Cactus Graphs from Shortest Path Information
inferred← citeshttps://doi.org/10.1007/978-3-319-71147-8_10openalex-snapshot
Graph Editing to a Given Neighbourhood Degree List is Fixed-Parameter Tractable
inferred← citeshttps://doi.org/10.1007/978-3-319-97686-0_14openalex-snapshot
An Annotated Glossary of Graph Theory Parameters, with Conjectures
inferred← citeshttps://doi.org/10.1007/978-3-642-02882-3_12openalex-snapshot
Reconstruction of Interval Graphs
inferred← citeshttps://doi.org/10.1007/978-3-642-11440-3_12openalex-snapshot
Reconstruction Algorithm for Permutation Graphs
inferred← citeshttps://doi.org/10.1007/978-3-642-17461-2_29openalex-snapshot
Bipartite Permutation Graphs Are Reconstructible
inferred← citeshttps://doi.org/10.1007/978-3-642-27317-9_3openalex-snapshot
The Reconstruction Conjecture
inferred← citeshttps://doi.org/10.1007/bf01108765openalex-snapshot
Towards the reconstruction of posets
inferred← citeshttps://doi.org/10.1007/bf01578845openalex-snapshot
On the complexity of graph reconstruction
inferred← citeshttps://doi.org/10.1007/s00373-013-1360-6openalex-snapshot
Indistinguishable Trees and Graphs
inferred← citeshttps://doi.org/10.1007/s12190-024-02152-xopenalex-snapshot
Reconstruction of old maps based on old photos using fuzzy graphs
inferred← citeshttps://doi.org/10.1016/0012-365x(77)90111-xopenalex-snapshot
Counterexamples to the edge reconstruction conjecture for infinite graphs
inferred← citeshttps://doi.org/10.1016/j.dam.2016.06.023openalex-snapshot
Graph odometry
inferred← citeshttps://doi.org/10.1016/j.disc.2004.04.029openalex-snapshot
What is reconstruction for ordered sets?
inferred← citeshttps://doi.org/10.1016/j.disc.2024.113986openalex-snapshot
On the computation of Seidel Laplacian eigenvalues for graph-based binary codes
inferred← citeshttps://doi.org/10.1016/j.disc.2026.115058openalex-snapshot
Graph reconstruction from connected triples
inferred← citeshttps://doi.org/10.1016/j.ejc.2024.104076openalex-snapshot
Decks of rooted binary trees
inferred← citeshttps://doi.org/10.1016/j.tcs.2010.07.006openalex-snapshot
Reconstruction of interval graphs
inferred← citeshttps://doi.org/10.1080/16073606.1984.9632328openalex-snapshot
ON α,β DESTRUCTIBLE GRAPHS
inferred← citeshttps://doi.org/10.1109/tnse.2017.2776913openalex-snapshot
Shotgun Assembly of Labeled Graphs
inferred← citeshttps://doi.org/10.1137/23m1615784openalex-snapshot
An Algorithm to Recover Shredded Random Matrices
inferred← citeshttps://doi.org/10.1137/s0097539792234901openalex-snapshot
Easily Checked Generalized Self-Reducibility
inferred← citeshttps://doi.org/10.1142/s1793830912500395openalex-snapshot
BIPARTITE PERMUTATION GRAPHS ARE RECONSTRUCTIBLE
inferred← citeshttps://doi.org/10.1145/3433652openalex-snapshot
A Survey on Subgraph Counting
inferred← citeshttps://doi.org/10.1155/s016117128700019xopenalex-snapshot
On the reconstraction of the matching polynomial and the reconstruction conjecture
inferred← citeshttps://doi.org/10.1587/transinf.e96.d.426openalex-snapshot
Reconstruction Algorithms for Permutation Graphs and Distance-Hereditary Graphs
inferred← citeshttps://doi.org/10.37236/2863openalex-snapshot
Totally Symmetric Functions are Reconstructible from Identification Minors
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Minimum Neighboring Degree Realization in Graphs and Trees
inferred← citeshttps://doi.org/10.48550/arxiv.1207.1875openalex-snapshot
Reconstruction Conjecture for Graphs Isomorphic to Cube of a Tree
inferred← citeshttps://doi.org/10.48550/arxiv.1510.00958openalex-snapshot
Existence of k-ary Trees: Subtree Sizes, Heights and Depths
inferred← citeshttps://doi.org/10.48550/arxiv.1512.08473openalex-snapshot
Shotgun assembly of random regular graphs
inferred← citeshttps://doi.org/10.48550/arxiv.1712.10322openalex-snapshot
Proof of Kelly-Ulam Conjecture
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A Hierarchy of Graph Neural Networks Based on Learnable Local Features
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