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## Sanders, Daniel P.

Compute Distance To:
 Author ID: sanders.daniel-p Published as: Sanders, Daniel; Sanders, Daniel P.
 Documents Indexed: 35 Publications since 1994
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#### Co-Authors

 7 single-authored 17 Zhao, Yue 5 Seymour, Paul D. 4 Thomas, Robin 3 Ding, Guoli 3 Oporowski, Bogdan 3 Robertson, Neil 3 Vertigan, Dirk 2 Borodin, Oleg Veniaminovich 1 Alon, Noga M. 1 DeVos, Matthew 1 Edwards, Katherine 1 Maharry, John 1 Mohar, Bojan 1 Reed, Bruce Alan 1 Zhao, Xue
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#### Serials

 10 Journal of Combinatorial Theory. Series B 10 Journal of Graph Theory 4 Discrete Mathematics 3 Graphs and Combinatorics 2 Combinatorica 1 Israel Journal of Mathematics 1 Canadian Mathematical Bulletin 1 Mathematische Nachrichten 1 SIAM Journal on Discrete Mathematics 1 Electronic Research Announcements of the American Mathematical Society

#### Fields

 35 Combinatorics (05-XX) 2 Computer science (68-XX)

#### Citations contained in zbMATH Open

34 Publications have been cited 629 times in 512 Documents Cited by Year
The four-colour theorem. Zbl 0883.05056
Robertson, Neil; Sanders, Daniel; Seymour, Paul; Thomas, Robin
1997
Planar graphs of maximum degree seven are Class I. Zbl 1024.05031
Sanders, Daniel P.; Zhao, Yue
2001
On total 9-coloring planar graphs of maximum degree seven. Zbl 0922.05025
Sanders, Daniel P.; Zhao, Yue
1999
A note on the three color problem. Zbl 0824.05023
Sanders, Daniel P.; Zhao, Yue
1995
Excluding any graph as a minor allows a low tree-width 2-coloring. Zbl 1042.05036
DeVos, Matt; Ding, Guoli; Oporowski, Bogdan; Sanders, Daniel P.; Reed, Bruce; Seymour, Paul; Vertigan, Dirk
2004
On paths in planar graphs. Zbl 0880.05059
Sanders, Daniel P.
1997
A new bound on the cyclic chromatic number. Zbl 1027.05044
Sanders, Daniel P.; Zhao, Yue
2001
A new proof of the four-colour theorem. Zbl 0865.05039
Robertson, Neil; Sanders, Daniel P.; Seymour, Paul; Thomas, Robin
1996
On cyclic colorings and their generalizations. Zbl 0929.05027
Borodin, Oleg V.; Sanders, Daniel P.; Zhao, Yue
1999
Efficiently four-coloring planar graphs. Zbl 0917.05030
Robertson, Neil; Sanders, Daniel P.; Seymour, Paul; Thomas, Robin
1996
On acyclic colorings of graphs on surfaces. Zbl 0857.05033
Alon, Noga; Mohar, Bojan; Sanders, Daniel P.
1996
Surfaces, tree-width, clique-minors, and partitions. Zbl 1029.05041
Ding, Guoli; Oporowski, Bogdan; Sanders, Daniel P.; Vertigan, Dirk
2000
Coloring edges of graphs embedded in a surface of characteristic zero. Zbl 1068.05026
Sanders, Daniel P.; Zhao, Yue
2003
On the entire coloring conjecture. Zbl 0944.05030
Sanders, Daniel P.; Zhao, Yue
2000
Partitioning graphs of bounded tree-width. Zbl 0924.05022
Ding, Guoli; Oporowski, Bogdan; Sanders, Daniel P.; Vertigan, Dirk
1998
On simultaneous edge-face colorings of plane graphs. Zbl 0902.05024
Sanders, Daniel P.; Zhao, Xue
1997
On linear recognition of tree-width at most four. Zbl 0847.05087
Sanders, Daniel P.
1996
On improving the edge-face coloring theorem. Zbl 0983.05038
Sanders, Daniel P.; Zhao, Yue
2001
On Hamilton cycles in certain planar graphs. Zbl 0839.05068
Sanders, Daniel P.
1996
On the size of edge chromatic critical graphs. Zbl 1029.05062
Sanders, Daniel P.; Zhao, Yue
2002
On 2-connected spanning subgraphs with low maximum degree. Zbl 0904.05027
Sanders, Daniel P.; Zhao, Yue
1998
On light edges and triangles in planar graphs of minimum degree five. Zbl 0813.05020
Borodin, Oleg V.; Sanders, Daniel P.
1994
Three-edge-colouring doublecross cubic graphs. Zbl 1334.05037
Edwards, Katherine; Sanders, Daniel P.; Seymour, Paul; Thomas, Robin
2016
On spanning trees and walks of low maximum degree. Zbl 0973.05023
Sanders, Daniel P.; Zhao, Yue
2001
On $$d$$-diagonal colorings. Zbl 0856.05043
Sanders, Daniel P.; Zhao, Yue
1996
On diagonally 10-coloring plane triangulations. Zbl 0833.05034
Sanders, Daniel P.; Zhao, Yue
1995
On simultaneous colorings of embedded graphs. Zbl 0960.05049
Sanders, Daniel P.; Maharry, John
2000
A five-color theorem. Zbl 0944.05035
Sanders, Daniel P.; Zhao, Yue
2000
On $$d$$-diagonal colorings of embedded graphs of low maximum face size. Zbl 0905.05029
Sanders, Daniel P.; Zhao, Yue
1998
Coloring edges of embedded graphs. Zbl 0966.05032
Sanders, Daniel P.; Zhao, Yue
2000
On the face touching number. Zbl 0864.05029
Sanders, Daniel P.
1996
On light edges and triangles in projective planar graphs. Zbl 0854.05037
Sanders, Daniel P.
1996
On circuits through five edges. Zbl 0864.05054
Sanders, Daniel P.
1996
On the effect of major vertices on the number of light edges. Zbl 0847.05042
Sanders, Daniel P.
1996
Three-edge-colouring doublecross cubic graphs. Zbl 1334.05037
Edwards, Katherine; Sanders, Daniel P.; Seymour, Paul; Thomas, Robin
2016
Excluding any graph as a minor allows a low tree-width 2-coloring. Zbl 1042.05036
DeVos, Matt; Ding, Guoli; Oporowski, Bogdan; Sanders, Daniel P.; Reed, Bruce; Seymour, Paul; Vertigan, Dirk
2004
Coloring edges of graphs embedded in a surface of characteristic zero. Zbl 1068.05026
Sanders, Daniel P.; Zhao, Yue
2003
On the size of edge chromatic critical graphs. Zbl 1029.05062
Sanders, Daniel P.; Zhao, Yue
2002
Planar graphs of maximum degree seven are Class I. Zbl 1024.05031
Sanders, Daniel P.; Zhao, Yue
2001
A new bound on the cyclic chromatic number. Zbl 1027.05044
Sanders, Daniel P.; Zhao, Yue
2001
On improving the edge-face coloring theorem. Zbl 0983.05038
Sanders, Daniel P.; Zhao, Yue
2001
On spanning trees and walks of low maximum degree. Zbl 0973.05023
Sanders, Daniel P.; Zhao, Yue
2001
Surfaces, tree-width, clique-minors, and partitions. Zbl 1029.05041
Ding, Guoli; Oporowski, Bogdan; Sanders, Daniel P.; Vertigan, Dirk
2000
On the entire coloring conjecture. Zbl 0944.05030
Sanders, Daniel P.; Zhao, Yue
2000
On simultaneous colorings of embedded graphs. Zbl 0960.05049
Sanders, Daniel P.; Maharry, John
2000
A five-color theorem. Zbl 0944.05035
Sanders, Daniel P.; Zhao, Yue
2000
Coloring edges of embedded graphs. Zbl 0966.05032
Sanders, Daniel P.; Zhao, Yue
2000
On total 9-coloring planar graphs of maximum degree seven. Zbl 0922.05025
Sanders, Daniel P.; Zhao, Yue
1999
On cyclic colorings and their generalizations. Zbl 0929.05027
Borodin, Oleg V.; Sanders, Daniel P.; Zhao, Yue
1999
Partitioning graphs of bounded tree-width. Zbl 0924.05022
Ding, Guoli; Oporowski, Bogdan; Sanders, Daniel P.; Vertigan, Dirk
1998
On 2-connected spanning subgraphs with low maximum degree. Zbl 0904.05027
Sanders, Daniel P.; Zhao, Yue
1998
On $$d$$-diagonal colorings of embedded graphs of low maximum face size. Zbl 0905.05029
Sanders, Daniel P.; Zhao, Yue
1998
The four-colour theorem. Zbl 0883.05056
Robertson, Neil; Sanders, Daniel; Seymour, Paul; Thomas, Robin
1997
On paths in planar graphs. Zbl 0880.05059
Sanders, Daniel P.
1997
On simultaneous edge-face colorings of plane graphs. Zbl 0902.05024
Sanders, Daniel P.; Zhao, Xue
1997
A new proof of the four-colour theorem. Zbl 0865.05039
Robertson, Neil; Sanders, Daniel P.; Seymour, Paul; Thomas, Robin
1996
Efficiently four-coloring planar graphs. Zbl 0917.05030
Robertson, Neil; Sanders, Daniel P.; Seymour, Paul; Thomas, Robin
1996
On acyclic colorings of graphs on surfaces. Zbl 0857.05033
Alon, Noga; Mohar, Bojan; Sanders, Daniel P.
1996
On linear recognition of tree-width at most four. Zbl 0847.05087
Sanders, Daniel P.
1996
On Hamilton cycles in certain planar graphs. Zbl 0839.05068
Sanders, Daniel P.
1996
On $$d$$-diagonal colorings. Zbl 0856.05043
Sanders, Daniel P.; Zhao, Yue
1996
On the face touching number. Zbl 0864.05029
Sanders, Daniel P.
1996
On light edges and triangles in projective planar graphs. Zbl 0854.05037
Sanders, Daniel P.
1996
On circuits through five edges. Zbl 0864.05054
Sanders, Daniel P.
1996
On the effect of major vertices on the number of light edges. Zbl 0847.05042
Sanders, Daniel P.
1996
A note on the three color problem. Zbl 0824.05023
Sanders, Daniel P.; Zhao, Yue
1995
On diagonally 10-coloring plane triangulations. Zbl 0833.05034
Sanders, Daniel P.; Zhao, Yue
1995
On light edges and triangles in planar graphs of minimum degree five. Zbl 0813.05020
Borodin, Oleg V.; Sanders, Daniel P.
1994
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#### Cited by 665 Authors

 40 Wu, Jian-Liang 25 Kawarabayashi, Ken-ichi 23 Wang, Wei-Fan 19 Jendrol’, Stanislav 17 Zhao, Yue 15 Wang, Yingqian 14 Král’, Daniel 14 Luo, Rong 13 Borodin, Oleg Veniaminovich 13 Liu, Guizhen 13 Ozeki, Kenta 11 Mohar, Bojan 11 Nešetřil, Jaroslav 11 Sanders, Daniel P. 11 Wang, Huijuan 11 Wang, Yiqiao 11 Zhang, Xin 10 Dvořák, Zdeněk 10 Liu, Bin 10 Raspaud, André 9 Hou, Jianfeng 9 Ossona de Mendez, Patrice 9 Sereni, Jean-Sébastien 8 Czap, Július 8 Seymour, Paul D. 8 Thomas, Robin 8 Zhang, Cunquan 7 Hu, Xiaoxue 7 Xu, Baogang 6 Horňák, Mirko 6 Lai, Hong-Jian 6 Madaras, Tomáš 6 Miao, Lianying 6 Miao, Zhengke 6 Wang, Guanghui 6 Wood, David Ronald 5 Ding, Guoli 5 Glebov, Alekseĭ Nikolaevich 5 Harant, Jochen 5 Montassier, Mickaël 5 Nakamoto, Atsuhiro 5 Soták, Roman 5 Sun, Lin 5 Ueckerdt, Torsten 5 Wang, Bing 5 Zhu, Xuding 4 Bodlaender, Hans L. 4 Chang, Gerard Jennhwa 4 Chen, Guantao 4 de Figueiredo, Celina M. Herrera 4 Demaine, Erik D. 4 Edwards, Katherine 4 Fabrici, Igor 4 Fan, Suohai 4 Havet, Frédéric 4 Hebdige, Michael 4 Hutchinson, Joan P. 4 Ivanova, Anna Olegovna 4 Kardoš, František 4 Lih, Kowei 4 Liotta, Giuseppe 4 Montecchiani, Fabrizio 4 Ota, Katsuhiro 4 Postle, Luke 4 Reed, Bruce Alan 4 Ryjáček, Zdeněk 4 Thilikos, Dimitrios M. 4 Van Cleemput, Nicolas 4 Vrána, Petr 4 Zamfirescu, Carol T. 3 Albertson, Michael O. 3 Böhme, Thomas 3 Bose, Prosenjit K. 3 Bu, Yuehua 3 Cai, Hua 3 Chen, Min 3 Chen, Ye 3 Cheng, Xiaohan 3 Choi, Ilkyoo 3 Esperet, Louis 3 Gao, Hongwei 3 Gethner, Ellen 3 Hajiaghayi, Mohammad Taghi 3 Hansen, Pierre 3 Huang, Danjun 3 Jin, Ligang 3 Kang, Ross J. 3 Kang, Yingli 3 Knauer, Kolja B. 3 Li, Xuechao 3 Lidický, Bernard 3 Niu, Jianbing 3 Oporowski, Bogdan 3 Oum, Sang-Il 3 Pang, Shiyou 3 Pekárek, Jakub 3 Plummer, Michael D. 3 Ramamurthi, Radhika 3 Roussel, Nicolas 3 Shen, Lan ...and 565 more Authors
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#### Cited in 79 Serials

 101 Discrete Mathematics 49 Journal of Combinatorial Theory. Series B 36 European Journal of Combinatorics 30 Discrete Applied Mathematics 28 Journal of Graph Theory 24 Graphs and Combinatorics 22 Theoretical Computer Science 17 Journal of Combinatorial Optimization 13 Information Processing Letters 13 SIAM Journal on Discrete Mathematics 10 Discussiones Mathematicae. Graph Theory 9 Algorithmica 8 The Electronic Journal of Combinatorics 7 Acta Mathematica Sinica. English Series 5 Journal of Computer and System Sciences 5 Acta Mathematicae Applicatae Sinica. English Series 5 Science China. Mathematics 4 Applied Mathematics and Computation 4 Applied Mathematics Letters 4 Computational Geometry 4 Linear Algebra and its Applications 4 Discrete Mathematics, Algorithms and Applications 3 Transactions of the American Mathematical Society 3 Combinatorica 3 Discrete & Computational Geometry 3 Science in China. Series A 3 Mathematical Programming. Series A. Series B 3 Combinatorics, Probability and Computing 2 The Mathematical Intelligencer 2 Annales de l’Institut Fourier 2 International Journal of Computer Mathematics 2 Applied Mathematics. Series B (English Edition) 2 Journal of Mathematical Sciences (New York) 2 Electronic Research Announcements of the American Mathematical Society 2 Soft Computing 2 Philosophical Transactions of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences 2 Bulletin of the Malaysian Mathematical Sciences Society. Second Series 2 Central European Journal of Mathematics 2 Computer Science Review 1 Artificial Intelligence 1 Jahresbericht der Deutschen Mathematiker-Vereinigung (DMV) 1 Journal of Statistical Physics 1 Linear and Multilinear Algebra 1 Mathematical Notes 1 Advances in Mathematics 1 Czechoslovak Mathematical Journal 1 Journal of Combinatorial Theory. Series A 1 Journal of the London Mathematical Society. Second Series 1 Networks 1 Synthese 1 Annals of Operations Research 1 Random Structures & Algorithms 1 International Journal of Computational Geometry & Applications 1 International Journal of Algebra and Computation 1 Journal of Global Optimization 1 Games and Economic Behavior 1 Computational Statistics and Data Analysis 1 The Australasian Journal of Combinatorics 1 Journal of Nonlinear Science 1 Experimental Mathematics 1 Journal of Algebraic Combinatorics 1 Opuscula Mathematica 1 Journal of Mathematical Chemistry 1 Journal of Graph Algorithms and Applications 1 Annals of Combinatorics 1 Discrete Dynamics in Nature and Society 1 Trudy Instituta Matematiki 1 Annales Mathematicae Silesianae 1 Foundations of Computational Mathematics 1 Journal of Applied Mathematics and Computing 1 Cahiers de Topologie et Géométrie Différentielle Catégoriques 1 Journal of Discrete Algorithms 1 Contributions to Discrete Mathematics 1 Frontiers of Mathematics in China 1 Ars Mathematica Contemporanea 1 ISRN Combinatorics 1 Mathematics 1 Journal of Algebra, Combinatorics, Discrete Structures and Applications 1 Transactions of the American Mathematical Society. Series B
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#### Cited in 26 Fields

 480 Combinatorics (05-XX) 56 Computer science (68-XX) 10 Convex and discrete geometry (52-XX) 10 Operations research, mathematical programming (90-XX) 6 General and overarching topics; collections (00-XX) 5 Numerical analysis (65-XX) 4 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 4 Biology and other natural sciences (92-XX) 3 History and biography (01-XX) 3 Mathematical logic and foundations (03-XX) 3 Manifolds and cell complexes (57-XX) 2 Number theory (11-XX) 2 Linear and multilinear algebra; matrix theory (15-XX) 2 Group theory and generalizations (20-XX) 2 Partial differential equations (35-XX) 2 Dynamical systems and ergodic theory (37-XX) 2 Probability theory and stochastic processes (60-XX) 2 Information and communication theory, circuits (94-XX) 1 Order, lattices, ordered algebraic structures (06-XX) 1 Category theory; homological algebra (18-XX) 1 Potential theory (31-XX) 1 Functional analysis (46-XX) 1 Geometry (51-XX) 1 Statistics (62-XX) 1 Fluid mechanics (76-XX) 1 Statistical mechanics, structure of matter (82-XX)