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On the conjecture of hajós

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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/bf03023063openalex-snapshot
Colouring problems
inferredcites →https://doi.org/10.1007/bfb0062512openalex-snapshot
Some extremal problems on families of graphs and related problems
inferredcites →https://doi.org/10.1016/0095-8956(79)90062-5openalex-snapshot
Hajós' graph-coloring conjecture: Variations and counterexamples
inferredcites →https://doi.org/10.1090/s0002-9904-1947-08785-1openalex-snapshot
Some remarks on the theory of graphs
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/10.1215/ijm/1256049898openalex-snapshot
The existence of unavoidable sets of geographically good configurations
inferredcites →https://doi.org/10.4064/cm-16-1-253-256openalex-snapshot
Some remarks on chromatic graphs

What points at this work

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

inferred← citeshttps://doi.org/10.1002/9781118032497.ch6openalex-snapshot
The Conjectures of Hadwiger and Hajós
inferred← citeshttps://doi.org/10.1002/jgt.20341openalex-snapshot
Triangulations and the Hajós conjecture
inferred← citeshttps://doi.org/10.1002/jgt.21891openalex-snapshot
Graphs Containing Topological H
inferred← citeshttps://doi.org/10.1002/jgt.22751openalex-snapshot
4‐Separations in Hajós graphs
inferred← citeshttps://doi.org/10.1002/jgt.23020openalex-snapshot
Subdivisions with congruence constraints in digraphs of large chromatic number
inferred← citeshttps://doi.org/10.1002/jgt.3190100308openalex-snapshot
Reflections on graph theory
inferred← citeshttps://doi.org/10.1002/jgt.3190110210openalex-snapshot
Subcontraction‐equivalence and Hadwiger's conjecture
inferred← citeshttps://doi.org/10.1002/jgt.3190130111openalex-snapshot
Some probabilistic and extremal results on subdivisions and odd subdivisions of graphs
inferred← citeshttps://doi.org/10.1002/rsa.20215openalex-snapshot
The order of the largest complete minor in a random graph
inferred← citeshttps://doi.org/10.1002/rsa.20285openalex-snapshot
Minors in random regular graphs
inferred← citeshttps://doi.org/10.1006/eujc.1997.0188openalex-snapshot
Proof of a Conjecture of Mader, Erdös and Hajnal on Topological Complete Subgraphs
inferred← citeshttps://doi.org/10.1006/jctb.2002.2133openalex-snapshot
Topological Minors in Graphs of Large Girth
inferred← citeshttps://doi.org/10.1007/3-540-45071-8_40openalex-snapshot
Graph Coloring and the Immersion Order
inferred← citeshttps://doi.org/10.1007/978-1-4614-6624-6_59-1openalex-snapshot
On Coloring Problems
inferred← citeshttps://doi.org/10.1007/978-3-319-32162-2_13openalex-snapshot
Hadwiger’s Conjecture
inferred← citeshttps://doi.org/10.1007/978-3-642-39286-3_17openalex-snapshot
The Beginnings of Geometric Graph Theory
inferred← citeshttps://doi.org/10.1007/bf01874387openalex-snapshot
Probabilistic methods in graph theory
inferred← citeshttps://doi.org/10.1007/bf02579154openalex-snapshot
Independence, clique size and maximum degree
inferred← citeshttps://doi.org/10.1007/s00373-015-1539-0openalex-snapshot
On a Coloring Conjecture of Hajós
inferred← citeshttps://doi.org/10.1007/s00493-013-2853-xopenalex-snapshot
Chromatic number, clique subdivisions, and the conjectures of Hajós and Erdős-Fajtlowicz
inferred← citeshttps://doi.org/10.1016/0095-8956(81)90066-6openalex-snapshot
Topological cliques of random graphs
inferred← citeshttps://doi.org/10.1016/b978-044488002-4/50005-1openalex-snapshot
10.1016/b978-044488002-4/50005-1
inferred← citeshttps://doi.org/10.1016/j.comgeo.2019.101574openalex-snapshot
On topological graphs with at most four crossings per edge
inferred← citeshttps://doi.org/10.1016/j.ejc.2009.08.008openalex-snapshot
Hajós’ conjecture and cycle power graphs
inferred← citeshttps://doi.org/10.1016/j.endm.2007.07.023openalex-snapshot
The order of the largest complete minor in a random graph
inferred← citeshttps://doi.org/10.1016/j.jctb.2003.08.005openalex-snapshot
Graph Minors. XIX. Well-quasi-ordering on a surface
inferred← citeshttps://doi.org/10.1016/j.jctb.2004.08.005openalex-snapshot
Some remarks on Hajós’ conjecture
inferred← citeshttps://doi.org/10.1016/j.jctb.2005.10.001openalex-snapshot
Reducing Hajós' 4-coloring conjecture to 4-connected graphs
inferred← citeshttps://doi.org/10.1016/j.jctb.2016.07.005openalex-snapshot
Coloring immersion-free graphs
inferred← citeshttps://doi.org/10.1016/j.jctb.2019.12.002openalex-snapshot
The Kelmans-Seymour conjecture IV: A proof
inferred← citeshttps://doi.org/10.1016/j.jctb.2021.05.002openalex-snapshot
Rooted topological minors on four vertices
inferred← citeshttps://doi.org/10.1016/j.jctb.2021.09.002openalex-snapshot
Clustered variants of Hajós' conjecture
inferred← citeshttps://doi.org/10.1016/j.jctb.2021.10.002openalex-snapshot
Dichromatic number and forced subdivisions
inferred← citeshttps://doi.org/10.1016/j.jctb.2022.07.010openalex-snapshot
Immersion and clustered coloring
inferred← citeshttps://doi.org/10.1016/j.jctb.2025.04.005openalex-snapshot
Weak diameter choosability of graphs with an excluded minor
inferred← citeshttps://doi.org/10.1016/j.jctb.2025.11.001openalex-snapshot
Extremal density for subdivisions with length or sparsity constraints
inferred← citeshttps://doi.org/10.1016/s0012-365x(99)00175-2openalex-snapshot
On the Hajós number of graphs
inferred← citeshttps://doi.org/10.1016/s0195-6698(80)80001-1openalex-snapshot
Hadwiger's Conjecture is True for Almost Every Graph
inferred← citeshttps://doi.org/10.1016/s0304-0208(08)73063-9openalex-snapshot
Pseudo-Random Graphs
inferred← citeshttps://doi.org/10.1017/cbo9781139519793.007openalex-snapshot
Hadwiger's conjecture
inferred← citeshttps://doi.org/10.1017/s0963548300001140openalex-snapshot
Topological Cliques in Graphs
inferred← citeshttps://doi.org/10.1017/s096354830000184xopenalex-snapshot
Topological cliques in graphs II
inferred← citeshttps://doi.org/10.1090/tran/8660openalex-snapshot
Rolling backwards can move you forward: On embedding problems in sparse expanders
inferred← citeshttps://doi.org/10.1093/imrn/rnag219openalex-snapshot
The dominating 4-colour theorem
inferred← citeshttps://doi.org/10.1112/jlms.12633openalex-snapshot
Packing topological minors half‐integrally
inferred← citeshttps://doi.org/10.1137/040617765openalex-snapshot
Improved Bounds for Topological Cliques in Graphs of Large Girth
inferred← citeshttps://doi.org/10.1145/2488608.2488663openalex-snapshot
Testing subdivision-freeness
inferred← citeshttps://doi.org/10.14288/1.0042748openalex-snapshot
Chromatic number, clique subdivisions and the conjectures of Hajos and ErdHos-Fajtlowicz
inferred← citeshttps://doi.org/10.26493/1855-3974.112.b74openalex-snapshot
Immersing small complete graphs
inferred← citeshttps://doi.org/10.37236/134openalex-snapshot
Crossings, Colorings, and Cliques
inferred← citeshttps://doi.org/10.37236/1982openalex-snapshot
Triangulations and the Hajós Conjecture
inferred← citeshttps://doi.org/10.37236/3396openalex-snapshot
Remarks on a Conjecture of Barát and Tóth
inferred← citeshttps://doi.org/10.37236/345openalex-snapshot
Towards the Albertson Conjecture
inferred← citeshttps://doi.org/10.46298/dmtcs.589openalex-snapshot
Immersion containment and connectivity in color-critical graphs
inferred← citeshttps://doi.org/10.48550/arxiv.1010.4321openalex-snapshot
To Prove Four Color Theorem
inferred← citeshttps://doi.org/10.5555/2095116.2095228openalex-snapshot
List-coloring graphs without subdivisions and without immersions
inferred← citeshttps://doi.org/10.5555/2627817.2627890openalex-snapshot
Totally odd subdivisions and parity subdivisions: structures and coloring
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