Edit Profile (opens in new tab) Gethner, Ellen Co-Author Distance Author ID: gethner.ellen Published as: Gethner, Ellen Documents Indexed: 33 Publications since 1981 Co-Authors: 45 Co-Authors with 28 Joint Publications 1,383 Co-Co-Authors all top 5 Co-Authors 5 single-authored 4 Durocher, Stephane 4 Ferrara, Michael J. 3 Boutin, Debra L. 3 Dean, Alice M. 3 Laison, Joshua Douglass 2 Albertson, Michael O. 2 Brodsky, Alex 2 Evans, William S. 2 Fowler, J. Joseph 2 Hartke, Stephen G. 2 Hutchinson, Joan P. 2 Mondal, Debajyoti 2 Safari, MohammadAli 2 Spalding-Jamieson, Jack 2 Stolee, Derrick 2 Sulanke, Thom 2 Trotter, William T. jun. 2 Wenger, Paul Shannahan 2 Wolff, Alexander 1 Braudrick, Sarah 1 Chawla, Sumeet 1 Clune, Andrew 1 Drummond, Rachel 1 Evans, Panagiota 1 Evans, William Desmond 1 Flesch, Breeann M. 1 Hogben, Leslie 1 Kallichanda, Bopanna 1 Kirkpatrick, David G. 1 Lidický, Bernard 1 Mentis, Alexander S. 1 Passiouras, Steve 1 Pfender, Florian 1 Pippenger, Nicholas J. 1 Roche, William A. 1 Ruiz, Amanda 1 Schattschneider, Doris J. 1 Springer, William M. II 1 Stark, Harold M. 1 Steinmetz, Shannon 1 Takano, Nao 1 Wagon, Stan 1 Wallis, Phil 1 Wick, Brian D. 1 Young, Michael E. all top 5 Serials 3 Discrete Mathematics 2 Journal of Graph Theory 2 European Journal of Combinatorics 2 Congressus Numerantium 2 The Electronic Journal of Combinatorics 2 Journal of Graph Algorithms and Applications 1 American Mathematical Monthly 1 Discrete Applied Mathematics 1 Ars Combinatoria 1 Illinois Journal of Mathematics 1 Proceedings of the American Mathematical Society 1 Graphs and Combinatorics 1 Computational Geometry 1 The Australasian Journal of Combinatorics 1 Experimental Mathematics 1 Theory of Computing Systems 1 Journal for Geometry and Graphics 1 Involve 1 Ars Mathematica Contemporanea all top 5 Fields 26 Combinatorics (05-XX) 11 Computer science (68-XX) 6 Number theory (11-XX) 3 Convex and discrete geometry (52-XX) 2 General and overarching topics; collections (00-XX) 1 Geometry (51-XX) 1 Operations research, mathematical programming (90-XX) 1 Information and communication theory, circuits (94-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 27 Publications have been cited 118 times in 97 Documents Cited by ▼ Year ▼ Bar \(k\)-visibility graphs. Zbl 1161.68651 Dean, Alice M.; Evans, William; Gethner, Ellen; Laison, Joshua D.; Safari, Mohammad Ali; Trotter, William T. 23 2007 On crossing numbers of complete tripartite and balanced complete multipartite graphs. Zbl 1359.05027 Gethner, Ellen; Hogben, Leslie; Lidický, Bernard; Pfender, Florian; Ruiz, Amanda; Young, Michael 14 2017 A stroll through the Gaussian primes. Zbl 0946.11002 Gethner, Ellen; Wagon, Stan; Wick, Brian 9 1998 Toward the rectilinear crossing number of \(K _{n}\): New drawings, upper bounds, and asymptotics. Zbl 1013.05027 Brodsky, Alex; Durocher, Stephane; Gethner, Ellen 6 2003 The rectilinear crossing number of \(K_{10}\) is 62. Zbl 0965.05038 Brodsky, Alex; Durocher, Stephane; Gethner, Ellen 5 2001 Thickness-two graphs. II: More new nine-critical graphs, independence ratio, cloned planar graphs, and singly and doubly outerplanar graphs. Zbl 1223.05195 Gethner, Ellen; Sulanke, Thom 5 2009 List-distinguishing colorings of graphs. Zbl 1230.05127 Ferrara, Michael; Flesch, Breeann; Gethner, Ellen 5 2011 Rational period functions with irrational poles are not Hecke eigenfunctions. Zbl 0795.11023 Gethner, Ellen 4 1993 Bar \(k\)-visibility graphs: Bounds on the number of edges, chromatic number, and thickness. Zbl 1171.68601 Dean, Alice M.; Evans, William; Gethner, Ellen; Laison, Joshua D.; Safari, Mohammad Ali; Trotter, William T. 4 2006 Extending precolorings to distinguish group actions. Zbl 1390.05065 Ferrara, Michael; Gethner, Ellen; Hartke, Stephen G.; Stolee, Derrick; Wenger, Paul S. 4 2018 Thickness-two graphs. I: New nine-critical graphs, permuted layer graphs, and Catlin’s graphs. Zbl 1136.05044 Boutin, Debra L.; Gethner, Ellen; Sulanke, Thom 4 2008 Thickness and colorability of geometric graphs. Zbl 1384.05086 Durocher, Stephane; Gethner, Ellen; Mondal, Debajyoti 4 2016 To the Moon and beyond. Zbl 1418.05003 Gethner, Ellen 4 2018 List distinguishing parameters of trees. Zbl 1262.05050 Ferrara, Michael; Gethner, Ellen; Hartke, Stephen G.; Stolee, Derrick; Wenger, Paul S. 4 2013 Periodic Gaussian moats. Zbl 1115.11318 Gethner, Ellen; Stark, H. M. 3 1997 Connected graphs with complementary edge-orbits. Zbl 0485.05032 Gethner, Ellen; Hutchinson, Joan P. 3 1981 The thickness and chromatic number of \(r\)-inflated graphs. Zbl 1221.05123 Albertson, Michael O.; Boutin, Debra L.; Gethner, Ellen 3 2010 On a generalization of a combinatorial problem posed by M. C. Escher. Zbl 0995.05034 Gethner, Ellen 2 2001 Counting Escher’s \(m\times m\) ribbon patterns. Zbl 1110.52018 Fowler, J. Joseph; Gethner, Ellen 2 2006 More results on \(r\)-inflated graphs: arboricity, thickness, chromatic number and fractional chromatic number. Zbl 1236.05075 Albertson, Michael O.; Boutin, Debra L.; Gethner, Ellen 2 2011 Thickness and colorability of geometric graphs. Zbl 1419.05071 Durocher, Stephane; Gethner, Ellen; Mondal, Debajyoti 2 2013 Rational period functions on \(G(\sqrt {2})\) and \(G(\sqrt {3})\) with hyperbolic poles are not Hecke eigenfunctions. Zbl 0847.11018 Gethner, Ellen 1 1995 On the exact location of the zeros of certain families of rational period functions and other related rational functions. Zbl 1019.11008 Gethner, Ellen 1 1999 Combinatorial enumeration of \(2\times 2\) ribbon patterns. Zbl 1113.05006 Gethner, Ellen; Schattschneider, Doris; Passiouras, Steve; Fowler, J. Joseph 1 2007 Unit bar-visibility layouts of triangulated polygons. Zbl 1111.68565 Dean, Alice M.; Gethner, Ellen; Hutchinson, Joan P. 1 2005 How false is Kempe’s proof of the four color theorem? II. Zbl 1177.05038 Gethner, Ellen; Kallichanda, Bopanna; Mentis, Alexander S.; Braudrick, Sarah; Chawla, Sumeet; Clune, Andrew; Drummond, Rachel; Evans, Panagiota; Roche, William; Takano, Nao 1 2009 More directions in visibility graphs. Zbl 1236.05134 Gethner, Ellen; Laison, Joshua D. 1 2011 Extending precolorings to distinguish group actions. Zbl 1390.05065 Ferrara, Michael; Gethner, Ellen; Hartke, Stephen G.; Stolee, Derrick; Wenger, Paul S. 4 2018 To the Moon and beyond. Zbl 1418.05003 Gethner, Ellen 4 2018 On crossing numbers of complete tripartite and balanced complete multipartite graphs. Zbl 1359.05027 Gethner, Ellen; Hogben, Leslie; Lidický, Bernard; Pfender, Florian; Ruiz, Amanda; Young, Michael 14 2017 Thickness and colorability of geometric graphs. Zbl 1384.05086 Durocher, Stephane; Gethner, Ellen; Mondal, Debajyoti 4 2016 List distinguishing parameters of trees. Zbl 1262.05050 Ferrara, Michael; Gethner, Ellen; Hartke, Stephen G.; Stolee, Derrick; Wenger, Paul S. 4 2013 Thickness and colorability of geometric graphs. Zbl 1419.05071 Durocher, Stephane; Gethner, Ellen; Mondal, Debajyoti 2 2013 List-distinguishing colorings of graphs. Zbl 1230.05127 Ferrara, Michael; Flesch, Breeann; Gethner, Ellen 5 2011 More results on \(r\)-inflated graphs: arboricity, thickness, chromatic number and fractional chromatic number. Zbl 1236.05075 Albertson, Michael O.; Boutin, Debra L.; Gethner, Ellen 2 2011 More directions in visibility graphs. Zbl 1236.05134 Gethner, Ellen; Laison, Joshua D. 1 2011 The thickness and chromatic number of \(r\)-inflated graphs. Zbl 1221.05123 Albertson, Michael O.; Boutin, Debra L.; Gethner, Ellen 3 2010 Thickness-two graphs. II: More new nine-critical graphs, independence ratio, cloned planar graphs, and singly and doubly outerplanar graphs. Zbl 1223.05195 Gethner, Ellen; Sulanke, Thom 5 2009 How false is Kempe’s proof of the four color theorem? II. Zbl 1177.05038 Gethner, Ellen; Kallichanda, Bopanna; Mentis, Alexander S.; Braudrick, Sarah; Chawla, Sumeet; Clune, Andrew; Drummond, Rachel; Evans, Panagiota; Roche, William; Takano, Nao 1 2009 Thickness-two graphs. I: New nine-critical graphs, permuted layer graphs, and Catlin’s graphs. Zbl 1136.05044 Boutin, Debra L.; Gethner, Ellen; Sulanke, Thom 4 2008 Bar \(k\)-visibility graphs. Zbl 1161.68651 Dean, Alice M.; Evans, William; Gethner, Ellen; Laison, Joshua D.; Safari, Mohammad Ali; Trotter, William T. 23 2007 Combinatorial enumeration of \(2\times 2\) ribbon patterns. Zbl 1113.05006 Gethner, Ellen; Schattschneider, Doris; Passiouras, Steve; Fowler, J. Joseph 1 2007 Bar \(k\)-visibility graphs: Bounds on the number of edges, chromatic number, and thickness. Zbl 1171.68601 Dean, Alice M.; Evans, William; Gethner, Ellen; Laison, Joshua D.; Safari, Mohammad Ali; Trotter, William T. 4 2006 Counting Escher’s \(m\times m\) ribbon patterns. Zbl 1110.52018 Fowler, J. Joseph; Gethner, Ellen 2 2006 Unit bar-visibility layouts of triangulated polygons. Zbl 1111.68565 Dean, Alice M.; Gethner, Ellen; Hutchinson, Joan P. 1 2005 Toward the rectilinear crossing number of \(K _{n}\): New drawings, upper bounds, and asymptotics. Zbl 1013.05027 Brodsky, Alex; Durocher, Stephane; Gethner, Ellen 6 2003 The rectilinear crossing number of \(K_{10}\) is 62. Zbl 0965.05038 Brodsky, Alex; Durocher, Stephane; Gethner, Ellen 5 2001 On a generalization of a combinatorial problem posed by M. C. Escher. Zbl 0995.05034 Gethner, Ellen 2 2001 On the exact location of the zeros of certain families of rational period functions and other related rational functions. Zbl 1019.11008 Gethner, Ellen 1 1999 A stroll through the Gaussian primes. Zbl 0946.11002 Gethner, Ellen; Wagon, Stan; Wick, Brian 9 1998 Periodic Gaussian moats. Zbl 1115.11318 Gethner, Ellen; Stark, H. M. 3 1997 Rational period functions on \(G(\sqrt {2})\) and \(G(\sqrt {3})\) with hyperbolic poles are not Hecke eigenfunctions. Zbl 0847.11018 Gethner, Ellen 1 1995 Rational period functions with irrational poles are not Hecke eigenfunctions. Zbl 0795.11023 Gethner, Ellen 4 1993 Connected graphs with complementary edge-orbits. Zbl 0485.05032 Gethner, Ellen; Hutchinson, Joan P. 3 1981 all cited Publications top 5 cited Publications all top 5 Cited by 206 Authors 9 Montecchiani, Fabrizio 7 Gethner, Ellen 7 Liotta, Giuseppe 6 Fernández-Merchant, Silvia 4 Aichholzer, Oswin 4 Durocher, Stephane 4 Lidický, Bernard 4 Wenger, Paul Shannahan 4 Whitesides, Sue H. 3 Ábrego, Bernardo Manuel 3 Biedl, Therese C. 3 Bose, Prosenjit K. 3 Brandenburg, Franz-Josef 3 Camacho, Charles Anthony 3 Evans, William S. 3 Ferrara, Michael J. 3 Kirsch, Rachel 3 Kleist, Linda 3 Matson, Elizabeth Bailey 3 Milutinović, Marija Jelić 3 Robertson, Leanne 3 White, Jennifer 2 Angelini, Patrizio 2 Arleo, Alessio 2 Bahoo, Yeganeh 2 Banyassady, Bahareh 2 Bekos, Michael A. 2 Binucci, Carla 2 Boutin, Debra L. 2 Casel, Katrin 2 Choi, Ilkyoo 2 Di Giacomo, Emilio 2 Eppstein, David Arthur 2 Fernau, Henning 2 Geneson, Jesse T. 2 Grigorev, Aleksandr 2 Grilli, Luca 2 Hutchinson, Joan P. 2 Král’, Daniel 2 Krasser, Hannes 2 Magness, Elsa 2 Meijer, Henk 2 Mondal, Debajyoti 2 Mulzer, Wolfgang Johann Heinrich 2 Nugent, Brian 2 Pfender, Florian 2 Salazar, Gelasio 2 Schmid, Markus L. 2 Staš, Michal 2 Sulanke, Thom 2 Sun, Timothy 2 Timková, Mária 2 Tóth, Géza 2 Vogtenhuber, Birgit 2 Wismath, Stephen K. 1 Abraham, Jessie 1 Ackerman, Eyal 1 Albertson, Michael O. 1 Alikhani, Saeid 1 Aloupis, Greg 1 Aravind, N. R. 1 Arockiaraj, Micheal 1 Aurenhammer, Franz 1 Balachandran, Niranjan 1 Ballinger, Brad 1 Balogh, József 1 Bao, Zhifeng 1 Barajas, Juvenal F. 1 Beineke, Lowell Wayne 1 Benbernou, Nadia M. 1 Borisenko, Vladimir V. 1 Carlos, Elise 1 Casselgren, Carl Johan 1 Caughman, John S. IV 1 Cetina, Mario 1 Chepovskiĭ, A. M. 1 Choi, Soyoung 1 Chousionis, Vasileios 1 Chugg, Ben 1 Clancy, Kieran 1 Clemen, Felix Christian 1 Coroničová Hurajová, Jana 1 Culpepper, J. Shane 1 Damian, Mirela 1 Darmon, Henri René 1 Davies, James E. 1 Delaila, J. Nancy 1 Demaine, Erik D. 1 Dujmović, Vida 1 Duque, Frank 1 Esch, Alexander 1 Esperet, Louis 1 Fabila-Monroy, Ruy 1 Flatland, Robin Y. 1 Förster, Henry 1 Fowler, J. Joseph 1 Furedi, Zoltan 1 Gago, Silvia 1 García-Quintero, Oscar E. 1 Glebov, Roman ...and 106 more Authors all top 5 Cited in 45 Serials 7 Discrete Mathematics 6 Computational Geometry 4 Discrete Applied Mathematics 4 Journal of Graph Algorithms and Applications 3 Journal of Graph Theory 3 Theoretical Computer Science 3 European Journal of Combinatorics 3 Graphs and Combinatorics 3 Discrete & Computational Geometry 3 SIAM Journal on Discrete Mathematics 2 Journal of Combinatorial Theory. Series B 2 Journal of Number Theory 2 The Australasian Journal of Combinatorics 2 Experimental Mathematics 2 Combinatorics, Probability and Computing 2 Theory of Computing Systems 2 Journal of Combinatorial Optimization 2 Integers 1 American Mathematical Monthly 1 Information Processing Letters 1 Mathematical Proceedings of the Cambridge Philosophical Society 1 Mathematics Magazine 1 The Mathematical Intelligencer 1 Acta Arithmetica 1 Computing 1 Czechoslovak Mathematical Journal 1 Duke Mathematical Journal 1 Journal of Combinatorial Theory. Series A 1 Mathematica Slovaca 1 Mathematische Zeitschrift 1 Random Structures & Algorithms 1 Acta Mathematica Universitatis Comenianae. New Series 1 Mathematical Programming. Series A. Series B 1 Topology Proceedings 1 Journal of Mathematical Sciences (New York) 1 The Electronic Journal of Combinatorics 1 Opuscula Mathematica 1 Discussiones Mathematicae. Graph Theory 1 Journal of Integer Sequences 1 Journal of the European Mathematical Society (JEMS) 1 Fundamenta Informaticae 1 AKCE International Journal of Graphs and Combinatorics 1 Journal of Mahani Mathematical Research Center 1 Computer Science Review 1 CGT. Computing in Geometry and Topology all top 5 Cited in 13 Fields 67 Combinatorics (05-XX) 32 Computer science (68-XX) 13 Number theory (11-XX) 5 Convex and discrete geometry (52-XX) 4 Operations research, mathematical programming (90-XX) 2 Probability theory and stochastic processes (60-XX) 1 General and overarching topics; collections (00-XX) 1 Measure and integration (28-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Algebraic topology (55-XX) 1 Manifolds and cell complexes (57-XX) 1 Numerical analysis (65-XX) 1 Statistical mechanics, structure of matter (82-XX) Citations by Year