Tag: graph-colorings

50 The "sensitivity" of 2-colorings of the d-dimensional integer lattice 2010-07-11T23:48:03.733

48 Generalizations of the Four-Color theorem 2014-12-07T07:53:38.170

40 Does every triangle-free graph with maximum degree at most 6 have a 5-colouring? 2010-09-06T19:58:11.410

39 Is it easy to produce hard-to-color graphs? 2014-05-30T13:26:47.083

38 Strengthening the Induction Hypothesis 2010-07-13T13:01:34.113

36 Algebraic Proof of 4-Colour Theorem? 2010-03-24T21:59:25.403

31 Why is "P vs. NP" necessarily relevant? 2011-02-03T21:04:02.657

31 3-colorings of the unit distance graph of $\Bbb R^3$ 2015-04-14T05:05:59.393

28 chromatic number of the hyperbolic plane 2012-01-20T17:30:50.960

25 Algebraic proof of Five-Color Theorem using chromatic polynomials by Birkhoff and Lewis in 1946 2015-05-11T10:30:43.293

22 A Question on 1, 2 ,3 Conjecture 2013-11-09T09:25:49.177

21 Coloring a Ferrers diagram 2015-04-26T17:52:20.660

20 Can one measure the infeasibility of four color proofs? 2013-09-15T21:35:32.750

19 Why is edge-coloring less interesting than vertex-coloring? 2010-01-07T01:38:00.177

17 Simpler proofs of certain Ramsey numbers 2015-10-14T17:35:12.093

15 Making a non-monotone function monotone 2010-03-08T12:03:21.483

15 Lower bounds for chromatic number of a graph 2010-07-29T17:30:42.520

15 Are infinite planar graphs still 4-colorable? 2013-12-15T02:16:53.463

15 Has there been a computer search for a 5-chromatic unit distance graph? 2016-04-16T13:12:39.240

15 Does there exist a graph with maximum degree 8, chromatic number 8, clique number 6? 2017-10-18T10:04:33.860

14 Is there easy proof for triangle-free two-coloring of planar graphs? 2016-11-30T16:31:58.027

13 A decision problem in graph coloring 2010-07-08T07:36:15.977

13 Graphs with a coloring that majorizes all other colorings 2015-11-13T23:56:18.337

12 Can one make Erdős's Ramsey lower bound explicit? 2009-10-15T21:36:11.637

12 Is there a matrix whose permanent counts 3-colorings? 2009-10-19T22:57:36.673

12 A new lower bound for the chromatic number of a graph? 2012-01-07T12:37:29.770

12 Bipartite Graphs arising from two k-partitions of a given Graph 2013-12-21T23:21:41.283

12 Coloring the edges of a torus graph 2014-11-10T05:44:19.647

11 What is the Tutte polynomial encoding? 2009-10-16T07:55:01.470

11 Colouring a graph whose edge set is a special union of cliques 2013-10-01T05:35:23.810

11 Coloring $K_n$ via edge-weight sums 2013-11-10T03:31:02.047

11 The Universal Labeling of graph 2014-06-04T18:41:29.307

11 What is the chromatic number of the "conic hypergraph" on a non-singular plane cubic? 2015-10-14T02:35:54.957

11 "Good" edge-colorings 2017-02-12T15:59:23.000

11 Is there a term for this graph subset? 2017-06-15T23:52:14.540

10 Which lattices have more than one minimal periodic coloring? 2010-01-11T18:20:00.407

10 Can we select a rainbow matching if each degree is 6 and each colorclass is a C_6? 2010-05-17T16:27:22.847

10 Derivative of Tutte polynomial at -1 2010-10-24T08:25:34.893

10 Big Mono-Chromatic Subgraphs of Vertex 2-Colourings 2014-02-11T23:09:31.557

10 What is the smallest 4-chromatic graph of girth 5? 2015-01-12T09:27:58.207

10 How many colors do we need to avoid bichromatic triangles? 2016-08-31T12:31:08.530

9 Finding Two Rainbow Spanning Trees 2010-05-24T21:00:03.767

9 Labelled spanning trees without edge crossings 2010-12-12T04:08:45.607

9 Postnikov's approach to perfect matchings of graphs 2014-06-04T21:25:49.533

9 A variant of Nelson-Hadwiger Problem on the chromatic number of the plane 2015-04-02T12:36:04.563

9 Majority coloring for directed graphs 2016-03-07T15:27:30.100

9 Among regular graphs, do cliques have the highest infection rate? 2017-03-08T21:32:57.963

9 Forming Subsets 2017-05-24T16:14:01.583

8 Has anyone seen this graph? 2011-10-18T05:44:43.703

8 Edge-coloring of the complete graph without any rainbow paths 2013-01-28T21:22:44.447

8 Bounds on chromatic number of $k$-planar graphs 2014-05-28T16:01:22.313

8 Coloring of the plane 2014-10-08T12:58:04.820

8 What is known about the chromatic number for minimum-distance graphs in higher dimensions? 2014-10-20T19:37:32.683

8 Colorings of triangulations as a generalization of the four-color problem 2015-08-12T16:43:34.550

8 Edge-colorings of plane graphs: do you know references where the following questions are studied? 2015-10-07T09:13:39.727

8 How many uniquely colored degree two vertices in 3-coloring of subcubic graph? 2016-02-05T12:35:14.017

7 Simple proof that these graphs are perfect 2010-07-24T21:02:48.627

7 Graphs with the same chromatic symmetric function 2010-10-12T18:49:09.810

7 What is this subclass of $k$-colorable graphs called? 2011-10-14T16:51:54.453

7 Highly symmetric 6-regular graph with 20 vertices 2012-04-06T23:28:46.970

7 A maximum discrepancy hypergraph 2-colouring problem 2012-04-13T16:31:22.307

7 coincidence between minimal triangulation numbers and chromatic numbers 2013-01-29T05:18:12.473

7 Maximum fractional chromatic number of a 4-regular triangle-free graph (updated) 2013-03-07T22:14:22.270

7 Conjecture: for perfect graphs the fractional chromatic index rounded up equals the chromatic index 2014-06-17T13:36:59.830

7 Does the weak Hadwiger conjecture imply the Hadwiger conjecture? 2014-11-12T07:22:30.557

7 Graph homomorphisms and line graph 2015-10-01T09:11:29.447

7 Chromatic numbers of nowhere dense graphs 2015-10-15T07:57:11.303

7 Graphs in which any two odd cycle have a common vertex 2015-10-16T07:39:36.183

7 Choosing two-colorable subgraph in a triangulation 2016-04-29T09:22:45.897

7 Bound on chromatic number for a class of graphs 2016-11-18T00:45:37.237

7 Clique and chromatic number of cycle graph of permutations 2017-10-02T06:06:21.307

6 4-coloring maps of pentagons 2010-12-17T17:27:56.767

6 How many "different" colorings (excluding exchanges) exist for a given map (graph)? 2011-04-10T17:07:22.207

6 Edge Colorings of Directed Graphs which Respect an Involution 2012-05-09T17:48:32.743

6 Fractional chromatic number, find reference to a particular alternate definition for 2013-06-02T20:41:15.390

6 Is there a graph that is Ramsey for $P_{2n}$ but is $C_{2n+1}-$free 2013-07-10T20:42:02.300

6 Minimal graphs of prescribed girth and chromatic number 2013-08-28T09:53:51.863

6 What is the status of this strong form of Hedetniemi's conjecture? 2013-11-10T15:17:06.323

6 Prime labelling of graphs 2014-12-20T19:51:22.153

6 Is this graph 3-colorable? 2016-01-01T09:57:02.320

6 Doubly edge-contraction critical graphs 2016-08-17T19:33:42.950

6 Do planar graphs have an acyclic two-coloring? 2016-11-23T12:26:45.067

6 Chromatic number of Voronoi diagrams of lattices 2017-04-11T14:28:23.153

6 Upper bound for chromatic number of graphs with $\omega(G)\leq\lfloor\frac{\Delta(G)+1}{2}\rfloor+1$ 2017-10-12T14:16:50.507

5 How are graph automorphisms are affected by transformations? 2009-11-27T20:52:00.677

5 Where can I find a catalog of known Ramsey numbers? 2010-01-28T04:49:20.440

5 Coloring Points in the Plane 2010-02-03T06:20:29.700

5 Hypergraph Chromatic Number vs Degree, Clique-Size 2010-11-29T11:16:01.423

5 The Problem about 2-coloring finite plane 2012-02-20T18:36:30.247

5 Small Ramsey numbers and Brooks' Theorem 2012-09-26T13:45:00.923

5 Probability that a random edge coloring of the complete graph is proper 2013-08-09T17:04:12.810

5 coloring in lattice 2013-11-08T19:42:15.707

5 Matching number and chromatic number 2014-08-13T09:55:34.090

5 A variant to the Hadwiger-Nelson problem 2015-02-23T08:19:33.757

5 Algorithm for 2-coloring classes of 3-uniform hypergraphs 2015-08-29T08:42:41.063

5 How can I prove that these two graph coloring problems are polynomial time equivalent? 2015-09-26T22:26:53.300

5 Chromatic numbers for coloring-constrained graphs 2015-11-29T18:44:55.297

5 Finite graph colorings without symmetries 2016-04-13T19:24:10.873

5 Uniquely 4-colorable Unit Distance Graphs 2016-12-13T17:12:07.313