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Disproof of the List Hadwiger 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/10.1002/jgt.3190180502openalex-snapshot
Contractions to k8
inferredcites →https://doi.org/10.1006/jctb.1994.1062openalex-snapshot
Every Planar Graph Is 5-Choosable
inferredcites →https://doi.org/10.1006/jctb.1997.1750openalex-snapshot
The Four-Colour Theorem
inferredcites →https://doi.org/10.1006/jctb.2000.2013openalex-snapshot
The Extremal Function for Complete Minors
inferredcites →https://doi.org/10.1007/bf01202354openalex-snapshot
Hadwiger's conjecture forK 6-free graphs
inferredcites →https://doi.org/10.1007/bf01350657openalex-snapshot
Homomorphies�tze f�r Graphen
inferredcites →https://doi.org/10.1007/bf01361708openalex-snapshot
Homomorphism theorems for graphs
inferredcites →https://doi.org/10.1007/bf01594196openalex-snapshot
Über eine Eigenschaft der ebenen Komplexe
inferredcites →https://doi.org/10.1007/bf02579141openalex-snapshot
Lower bound of the hadwiger number of graphs by their average degree
inferredcites →https://doi.org/10.1016/0012-365x(93)90557-aopenalex-snapshot
Research problems
inferredcites →https://doi.org/10.1016/0012-365x(93)90579-iopenalex-snapshot
List colourings of planar graphs
inferredcites →https://doi.org/10.1016/j.disc.2006.03.027openalex-snapshot
List colourings of planar graphs
inferredcites →https://doi.org/10.1016/j.disc.2007.03.059openalex-snapshot
On choosability of some complete multipartite graphs and Ohba's conjecture
inferredcites →https://doi.org/10.1016/j.disc.2007.07.089openalex-snapshot
Another proof of the 5-choosability of K5 -minor-free graphs
inferredcites →https://doi.org/10.1016/j.ejc.2010.05.015openalex-snapshot
Contractibility and the Hadwiger Conjecture
inferredcites →https://doi.org/10.1016/j.jctb.2005.07.008openalex-snapshot
The extremal function for K9 minors
inferredcites →https://doi.org/10.1016/j.jctb.2006.11.002openalex-snapshot
A relaxed Hadwiger's Conjecture for list colorings
inferredcites →https://doi.org/10.1016/j.jctb.2017.08.006openalex-snapshot
K6 minors in 6-connected graphs of bounded tree-width
inferredcites →https://doi.org/10.1016/s0012-365x(98)00158-7openalex-snapshot
Choosability of K5-minor-free graphs
inferredcites →https://doi.org/10.1017/cbo9780511721328.012openalex-snapshot
List colourings of graphs
inferredcites →https://doi.org/10.1017/s0305004100061521openalex-snapshot
An extremal function for contractions of graphs
inferredcites →https://doi.org/10.1090/trans2/132/03openalex-snapshot
On the minimum of the Hadwiger number for graphs with a given mean degree of vertices
inferredcites →https://doi.org/10.1112/jlms/s1-27.1.85openalex-snapshot
A Property of 4-Chromatic Graphs and some Remarks on Critical Graphs
inferredcites →https://doi.org/10.1137/100796649openalex-snapshot
Thomassen's Choosability Argument Revisited
inferredcites →https://doi.org/10.1145/1536414.1536476openalex-snapshot
Hadwiger's conjecture is decidable

What points at this work

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

inferred← citeshttps://doi.org/10.1002/jgt.23272openalex-snapshot
Dominating Kt‐Models
inferred← citeshttps://doi.org/10.1007/978-3-319-32162-2_13openalex-snapshot
Hadwiger’s Conjecture
inferred← citeshttps://doi.org/10.1007/978-88-7642-475-5_42openalex-snapshot
Degenerated induced subgraphs of planar graphs
inferred← citeshttps://doi.org/10.1007/s00493-018-3733-1openalex-snapshot
Defective Colouring of Graphs Excluding A Subgraph or Minor
inferred← citeshttps://doi.org/10.1016/j.aim.2023.109020openalex-snapshot
Breaking the degeneracy barrier for coloring graphs with no K minor
inferred← citeshttps://doi.org/10.1016/j.jctb.2021.02.001openalex-snapshot
Connectivity and choosability of graphs with no K minor
inferred← citeshttps://doi.org/10.1016/j.jctb.2023.05.004openalex-snapshot
Local Hadwiger's Conjecture
inferred← citeshttps://doi.org/10.1016/j.jctb.2023.08.005openalex-snapshot
Bipartite graphs with no K6 minor
inferred← citeshttps://doi.org/10.1017/cbo9781139519793.007openalex-snapshot
Hadwiger's conjecture
inferred← citeshttps://doi.org/10.1017/cbo9781139519793.018openalex-snapshot
Unsolved graph colouring problems
inferred← citeshttps://doi.org/10.1017/s0963548322000116openalex-snapshot
Improved lower bound for the list chromatic number of graphs with no K t minor
inferred← citeshttps://doi.org/10.1017/s0963548323000354openalex-snapshot
On the choosability of -minor-free graphs
inferred← citeshttps://doi.org/10.1090/jams/1047openalex-snapshot
Reducing linear Hadwiger’s conjecture to coloring small graphs
inferred← citeshttps://doi.org/10.1090/tran/9493openalex-snapshot
Limits of degeneracy for colouring graphs with forbidden minors
inferred← citeshttps://doi.org/10.1109/infcom.2013.6567041openalex-snapshot
A graph minor perspective to network coding: Connecting algebraic coding with network topologies
inferred← citeshttps://doi.org/10.1109/tit.2014.2336836openalex-snapshot
A Graph Minor Perspective to Multicast Network Coding
inferred← citeshttps://doi.org/10.1137/22m1522413openalex-snapshot
Refined List Version of Hadwiger’s Conjecture
inferred← citeshttps://doi.org/10.1142/s1793830914500359openalex-snapshot
Disproof of the group coloring version of the Hadwiger conjecture
inferred← citeshttps://doi.org/10.1201/b16132-29openalex-snapshot
Graph Coloring
inferred← citeshttps://doi.org/10.37236/4265openalex-snapshot
Maximum 4-Degenerate Subgraph of a Planar Graph
inferred← citeshttps://doi.org/10.48550/arxiv.1304.6510openalex-snapshot
A Note on Hadwiger's Conjecture
inferred← citeshttps://doi.org/10.48550/arxiv.1910.09378openalex-snapshot
Breaking the degeneracy barrier for coloring graphs with no $K_t$ minor
inferred← citeshttps://doi.org/10.48550/arxiv.2004.10367openalex-snapshot
Connectivity and choosability of graphs with no $K_t$ minor
inferred← citeshttps://doi.org/10.5817/cz.muni.eurocomb23-071openalex-snapshot
Refined list version of Hadwiger’s Conjecture
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