Edit Profile (opens in new tab) Magnant, Colton Co-Author Distance Author ID: magnant.colton Published as: Magnant, Colton Homepage: https://sites.google.com/a/georgiasouthern.edu/coltonmagnant/home External Links: MGP · ORCID · Google Scholar · ResearchGate · dblp · GND Documents Indexed: 98 Publications since 2009, including 2 Books Reviewing Activity: 14 Reviews Co-Authors: 94 Co-Authors with 94 Joint Publications 2,801 Co-Co-Authors all top 5 Co-Authors 4 single-authored 16 Fujita, Shinya 16 Salehi Nowbandegani, Pouria 10 Coll, Vincent E. jun. 9 Gould, Ronald J. 9 Wang, Hua 8 Mao, Yaping 7 Li, Xueliang 7 Wang, Zhao 6 Faudree, Ralph Jasper jun. 6 Martin, Daniel M. 6 Schiermeyer, Ingo 5 Halperin, Alexander 5 Jacobson, Michael Scott 5 Ozeki, Kenta 4 Ferrara, Michael J. 4 Hyatt, Matthew 4 Qin, Zhongmei 3 Furuya, Michitaka 3 Hall, Martin 2 Chen, Guantao 2 Cheng, Eddie 2 Chizmar, Emily 2 Faudree, Jill R. 2 Gerek, Aydin 2 Gutman, Ivan M. 2 Huang, Fei 2 Krop, Elliot 2 Li, Wenjing 2 Powell, Jeffrey Scott 2 Ryan, Kathleen 2 Saito, Akira 2 Shi, Yongtang 2 Wei, Meiqin 2 Wu, Haibo 2 Xia, Suman 2 Zhu, Xiaoyu 2 Zou, Jinyu 1 Arora, Ajay 1 Bartlett, Marcus 1 Besse, Pierre 1 Borozan, Valentin 1 Cameron, Alex 1 Chang, Hong 1 Collins, Alex 1 Cui, Qing 1 Davila, Randy Ryan 1 Davis, Jeremy J. 1 Dellamonica, Domingos jun. 1 Driscoll, Keith 1 Esfandiari, Hossein 1 Ge, Huifen 1 Gehrke, Silke 1 Giaquinto, Anthony 1 Goubko, Mikhail V. 1 Gregory, Jonathan 1 Gyárfás, András 1 Haghighi, Shirdareh 1 Henning, Michael Anthony 1 Holliday, Rebecca 1 Hook, Jonelle 1 Horn, Paul S. 1 Jiang, Hui 1 Katić, Robert 1 Klostermeyer, William F. 1 Lei, Hui 1 Li, Xihe 1 Liu, Qinghai 1 Magnant, Zhuojun 1 Manoussakis, Yannis G. 1 McCready, Karen 1 Medarametla, Dhruv 1 Montero, Leandro P. 1 Morley, Patrick Ryan 1 Mutiso, Fedelis 1 Pepper, Ryan D. 1 Porter, Sarabeth 1 Pula, Kyle 1 Schmitt, John R. 1 Seress, Ákos 1 Song, Chunwei 1 Stankewicz, James 1 Taylor, Patrick A. 1 Tsugaki, Masao 1 Tuza, Zsolt 1 Wang, Ligong 1 Watts, Noah 1 Wenger, Paul Shannahan 1 Xu, Chuandong 1 Ye, Chengfu 1 Yoshimoto, Kiyoshi 1 Yuan, Shuai 1 Yusko, Adam 1 Zhang, Jingshu 1 Zhang, Shenggui all top 5 Serials 16 Graphs and Combinatorics 10 Discrete Mathematics 9 Discrete Applied Mathematics 8 Journal of Graph Theory 6 Discussiones Mathematicae. Graph Theory 5 The Electronic Journal of Combinatorics 5 AKCE International Journal of Graphs and Combinatorics 4 JCMCC. The Journal of Combinatorial Mathematics and Combinatorial Computing 4 Theory and Applications of Graphs 3 The Australasian Journal of Combinatorics 3 Journal of Combinatorics 2 SIAM Journal on Discrete Mathematics 2 Bulletin of the Institute of Combinatorics and its Applications 2 Bulletin of the Malaysian Mathematical Sciences Society. Second Series 2 Journal of Generalized Lie Theory and Applications 2 SpringerBriefs in Mathematics 1 Communications in Algebra 1 Rocky Mountain Journal of Mathematics 1 Applied Mathematics and Computation 1 Matematički Vesnik 1 Results in Mathematics 1 Theoretical Computer Science 1 Journal of Algebraic Combinatorics 1 Journal of Lie Theory 1 Journal of Combinatorial Optimization 1 Acta Mathematica Sinica. English Series 1 MATCH - Communications in Mathematical and in Computer Chemistry 1 Parallel Processing Letters 1 The College Mathematics Journal 1 Electronic Journal of Graph Theory and Applications all top 5 Fields 94 Combinatorics (05-XX) 5 Nonassociative rings and algebras (17-XX) 1 Real functions (26-XX) 1 Convex and discrete geometry (52-XX) 1 Biology and other natural sciences (92-XX) 1 Mathematics education (97-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 79 Publications have been cited 647 times in 399 Documents Cited by ▼ Year ▼ Rainbow generalizations of Ramsey theory: A survey. Zbl 1231.05178Fujita, Shinya; Magnant, Colton; Ozeki, Kenta 116 2010 Proper connection of graphs. Zbl 1246.05090Borozan, Valentin; Fujita, Shinya; Gerek, Aydin; Magnant, Colton; Manoussakis, Yannis; Montero, Leandro; Tuza, Zsolt 67 2012 Properly colored paths and cycles. Zbl 1228.05150Fujita, Shinya; Magnant, Colton 29 2011 Gallai-Ramsey numbers for cycles. Zbl 1222.05186Fujita, Shinya; Magnant, Colton 23 2011 Ramsey numbers in rainbow triangle free colorings. Zbl 1196.05052Faudree, Ralph J.; Gould, Ronald J.; Jacobson, Michael S.; Magnant, Colton 21 2010 Gallai-Ramsey number for \(K_4\). Zbl 1495.05100Liu, Henry; Magnant, Colton; Saito, Akira; Schiermeyer, Ingo; Shi, Yongtang 19 2020 ABC index of trees with fixed number of leaves. Zbl 1462.05081Goubko, Mikhail; Magnant, Colton; Salehi Nowbandegani, Pouria; Gutman, Ivan 18 2015 Improved upper bounds for Gallai-Ramsey numbers of paths and cycles. Zbl 1280.05042Hall, Martin; Magnant, Colton; Ozeki, Kenta; Tsugaki, Masao 18 2014 Properly colored connectivity of graphs. Zbl 1475.05002Li, Xueliang; Magnant, Colton; Qin, Zhongmei 18 2018 Extensions of Gallai-Ramsey results. Zbl 1247.05149Fujita, Shinya; Magnant, Colton 16 2012 Total rainbow connection of digraphs. Zbl 1377.05096Lei, Hui; Liu, Henry; Magnant, Colton; Shi, Yongtang 13 2018 Directed proper connection of graphs. Zbl 1462.05159Magnant, Colton; Morley, Patrick Ryan; Porter, Sarabeth; Nowbandegani, Pouria Salehi; Wang, Hua 12 2016 Bounds on the connected forcing number of a graph. Zbl 1402.05163Davila, Randy; Henning, Michael A.; Magnant, Colton; Pepper, Ryan 12 2018 Distributing vertices on Hamiltonian cycles. Zbl 1242.05152Faudree, Ralph J.; Gould, Ronald J.; Jacobson, Michael S.; Magnant, Colton 11 2012 Which tree has the smallest ABC index among trees with \(k\) leaves? Zbl 1319.05039Magnant, Colton; Nowbandegani, Pouria Salehi; Gutman, Ivan 11 2015 Meanders and Frobenius seaweed Lie algebras. Zbl 1235.17003Coll, Vincent; Giaquinto, Anthony; Magnant, Colton 10 2011 A note on the path cover number of regular graphs. Zbl 1218.05142Magnant, Colton; Martin, Daniel M. 9 2009 Topics in Gallai-Ramsey theory. Zbl 1452.05001Magnant, Colton; Salehi Nowbandegani, Pouria 9 2020 Proper connection with many colors. Zbl 1270.05040Fujita, Shinya; Gerek, Aydin; Magnant, Colton 9 2012 On two conjectures about the proper connection number of graphs. Zbl 1365.05157Huang, Fei; Li, Xueliang; Qin, Zhongmei; Magnant, Colton; Ozeki, Kenta 8 2017 All partitions have small parts – Gallai-Ramsey numbers of bipartite graphs. Zbl 1404.05062Wu, Haibo; Magnant, Colton; Salehi Nowbandegani, Pouria; Xia, Suman 8 2019 General bounds on rainbow domination numbers. Zbl 1312.05105Fujita, Shinya; Furuya, Michitaka; Magnant, Colton 8 2015 Note on highly connected monochromatic subgraphs in 2-colored complete graphs. Zbl 1205.05090Fujita, Shinya; Magnant, Colton 7 2011 Multiply chorded cycles. Zbl 1292.05145Gould, Ronald; Horn, Paul; Magnant, Colton 7 2014 Pancyclicity of 4-connected {claw, generalized bull}-free graphs. Zbl 1259.05092Ferrara, Michael; Gehrke, Silke; Gould, Ronald; Magnant, Colton; Powell, Jeffrey 6 2013 Gallai-Ramsey numbers for books. Zbl 1419.05087Zou, Jinyu; Mao, Yaping; Magnant, Colton; Wang, Zhao; Ye, Chengfu 6 2019 Variations of distance-based invariants of trees. Zbl 1310.05071Bartlett, Marcus; Krop, Elliot; Magnant, Colton; Mutiso, Fedelis; Wang, Hua 6 2014 The unbroken spectrum of type-A Frobenius seaweeds. Zbl 1464.17015Coll, Vincent E. jun.; Hyatt, Matthew; Magnant, Colton 6 2018 Rainbow \(k\)-connection in dense graphs (extended abstract). Zbl 1274.05157Fujita, Shinya; Liu, Henry; Magnant, Colton 6 2011 Saturation numbers for families of Ramsey-minimal graphs. Zbl 1252.05090Chen, Guantao; Ferrara, Michael; Gould, Ronald J.; Magnant, Colton; Schmitt, John 6 2011 Meander graphs and Frobenius seaweed Lie algebras. II. Zbl 1394.17022Coll, Vincent; Hyatt, Matthew; Magnant, Colton; Wang, Hua 6 2015 Rainbow \(k\)-connection in dense graphs. Zbl 1320.05040Fujita, Shinya; Liu, Henry; Magnant, Colton 6 2015 Coloring rectangular blocks in 3-space. Zbl 1284.05105Magnant, Colton; Martin, Daniel M. 5 2011 Rainbow paths. Zbl 1209.05128Dellamonica, Domingos jun.; Magnant, Colton; Martin, Daniel M. 5 2010 Symplectic meanders. Zbl 1414.17008Coll, Vincent E.; Hyatt, Matthew; Magnant, Colton 5 2017 Claw-free graphs and 2-factors that separate independent vertices. Zbl 1242.05153Faudree, Ralph J.; Magnant, Colton; Ozeki, Kenta; Yoshimoto, Kiyoshi 5 2012 Results and problems on saturation numbers for linear forests. Zbl 1401.05155Chen, Guantao; Faudree, Jill R.; Faudree, Ralph J.; Gould, Ronald J.; Jacobson, Michael S.; Magnant, Colton 5 2015 Gallai-Ramsey numbers for rainbow paths. Zbl 1442.05237Li, Xihe; Besse, Pierre; Magnant, Colton; Wang, Ligong; Watts, Noah 4 2020 An asymptotic version of a conjecture by Enomoto and Ota. Zbl 1208.05116Magnant, Colton; Martin, Daniel M. 4 2010 Minimum degree condition for proper connection number 2. Zbl 1428.05109Huang, Fei; Li, Xueliang; Qin, Zhongmei; Magnant, Colton 4 2019 Ramsey and Gallai-Ramsey numbers for stars with extra independent edges. Zbl 1447.05204Mao, Yaping; Wang, Zhao; Magnant, Colton; Schiermeyer, Ingo 4 2020 Ramsey and Gallai-Ramsey numbers for two classes of unicyclic graphs. Zbl 1459.05205Wang, Zhao; Mao, Yaping; Magnant, Colton; Zou, Jinyu 4 2021 Note on rainbow connection in oriented graphs with diameter 2. Zbl 1416.05106Holliday, Rebecca; Magnant, Colton; Nowbandegani, Pouria Salehi 4 2014 Enomoto and Ota’s conjecture holds for large graphs. Zbl 1402.05174Coll, Vincent; Halperin, Alexander; Magnant, Colton; Salehi Nowbandegani, Pouria 4 2018 Note on vertex and total proper connection numbers. Zbl 1348.05112Chizmar, Emily; Magnant, Colton; Salehi Nowbandegani, Pouria 4 2016 Conditions for families of disjoint \(k\)-connected subgraphs in a graph. Zbl 1260.05086Ferrara, Michael; Magnant, Colton; Wenger, Paul 3 2013 Pan-\(H\)-linked graphs. Zbl 1230.05185Ferrara, Michael; Magnant, Colton; Powell, Jeffrey 3 2010 Proper distance in edge-colored hypercubes. Zbl 1426.05023Cheng, Eddie; Magnant, Colton; Medarametla, Dhruv 3 2017 Properly colored \(C_4\)’s in edge-colored graphs. Zbl 1448.05078Xu, Chuandong; Magnant, Colton; Zhang, Shenggui 3 2020 Note on semi-linkage with almost prescribed lengths in large graphs. Zbl 1339.05196Chizmar, Emily; Magnant, Colton; Salehi Nowbandegani, Pouria 3 2016 Integer solutions to box optimization problems. Zbl 1398.97033Coll, Vincent; Davis, Jeremy; Hall, Martin; Magnant, Colton; Stankewicz, James; Wang, Hua 3 2014 Tight Nordhaus-Gaddum-type upper bound for total-rainbow connection number of graphs. Zbl 1378.05065Li, Wenjing; Li, Xueliang; Magnant, Colton; Zhang, Jingshu 3 2017 A decomposition of Gallai multigraphs. Zbl 1290.05075Halperin, Alexander; Magnant, Colton; Pula, Kyle 3 2014 Strong geodetic number of graphs and connectivity. Zbl 1437.05081Wang, Zhao; Mao, Yaping; Ge, Huifen; Magnant, Colton 2 2020 Colored complete hypergraphs containing no rainbow Berge triangles. Zbl 1429.05074Magnant, Colton 2 2019 General upper bounds on independent \(k\)-rainbow domination. Zbl 1407.05177Fujita, Shinya; Furuya, Michitaka; Magnant, Colton 2 2019 A general lower bound on Gallai-Ramsey numbers for non-bipartite graphs. Zbl 1416.05188Magnant, Colton 2 2018 Placing specified vertices at precise locations on a Hamiltonian cycle. Zbl 1368.05091Gould, Ronald J.; Magnant, Colton; Salehi Nowbandegani, Pouria 2 2017 Note on Enomoto and Ota’s conjecture for short paths in large graphs. Zbl 1306.05190Hall, Martin; Magnant, Colton; Wang, Hua 2 2014 Density of Gallai multigraphs. Zbl 1307.05074Magnant, Colton 2 2015 Monochromatic subgraphs in the absence of a properly colored 4-cycle. Zbl 1402.05075Magnant, Colton; Martin, Daniel M.; Salehi Nowbandegani, Pouria 2 2018 Disconnected colors in generalized Gallai-colorings. Zbl 1272.05048Fujita, Shinya; Gyárfás, András; Magnant, Colton; Seress, Ákos 2 2013 \(k\)-rainbow domatic numbers. Zbl 1242.05201Fujita, Shinya; Furuya, Michitaka; Magnant, Colton 2 2012 Forbidden rainbow subgraphs that force large highly connected monochromatic subgraphs. Zbl 1310.05091Fujita, Shinya; Magnant, Colton 2 2013 Path partitions of almost regular graphs. Zbl 1333.05243Magnant, Colton; Wang, Hua; Yuan, Shuai 2 2016 Ramsey and Gallai-Ramsey number for wheels. Zbl 1485.05110Mao, Yaping; Wang, Zhao; Magnant, Colton; Schiermeyer, Ingo 2 2022 On eternal domination and Vizing-type inequalities. Zbl 1468.05205Driscoll, Keith; Klostermeyer, William F.; Krop, Elliot; Magnant, Colton; Taylor, Patrick 1 2020 Gallai-Ramsey number of an 8-cycle. Zbl 1477.05119Gregory, Jonathan; Magnant, Colton; Magnant, Zhuojun 1 2020 Long path lemma concerning connectivity and independence number. Zbl 1226.05137Fujita, Shinya; Halperin, Alexander; Magnant, Colton 1 2011 Independence number and disjoint theta graphs. Zbl 1222.05114Fujita, Shinya; Magnant, Colton 1 2011 Ramsey set numbers in balanced complete multipartite graphs. Zbl 1234.05163Magnant, Colton; Yusko, Adam 1 2011 Chvátal-Erdős type theorems. Zbl 1214.05069Faudree, Jill R.; Faudree, Ralph J.; Gould, Ronald J.; Jacobson, Michael S.; Magnant, Colton 1 2010 Partitioning graphs into paths or cycles of prescribed lengths. Zbl 1262.05129Magnant, Colton; Ozeki, Kenta 1 2012 The proper diameter of a graph. Zbl 1430.05026Coll, Vincent; Hook, Jonelle; Magnant, Colton; McCready, Karen; Ryan, Kathleen 1 2020 On proper (strong) rainbow connection of graphs. Zbl 1459.05080Jiang, Hui; Li, Wenjing; Li, Xueliang; Magnant, Colton 1 2021 Gallai-Ramsey numbers for monochromatic triangles or 4-cycles. Zbl 1402.05082Wu, Haibo; Magnant, Colton 1 2018 Structure of colored complete graphs free of proper cycles. Zbl 1266.05027Coll, Vincent; Magnant, Colton; Ryan, Kathleen 1 2012 Forbidden properly edge-colored subgraphs that force large highly connected monochromatic subgraphs. Zbl 1407.05096Katić, Robert; Magnant, Colton; Salehi Nowbandegani, Pouria 1 2017 Gallai-Ramsey numbers for fans. Zbl 1509.05129Mao, Yaping; Wang, Zhao; Magnant, Colton; Schiermeyer, Ingo 1 2023 Gallai-Ramsey numbers for fans. Zbl 1509.05129Mao, Yaping; Wang, Zhao; Magnant, Colton; Schiermeyer, Ingo 1 2023 Ramsey and Gallai-Ramsey number for wheels. Zbl 1485.05110Mao, Yaping; Wang, Zhao; Magnant, Colton; Schiermeyer, Ingo 2 2022 Ramsey and Gallai-Ramsey numbers for two classes of unicyclic graphs. Zbl 1459.05205Wang, Zhao; Mao, Yaping; Magnant, Colton; Zou, Jinyu 4 2021 On proper (strong) rainbow connection of graphs. Zbl 1459.05080Jiang, Hui; Li, Wenjing; Li, Xueliang; Magnant, Colton 1 2021 Gallai-Ramsey number for \(K_4\). Zbl 1495.05100Liu, Henry; Magnant, Colton; Saito, Akira; Schiermeyer, Ingo; Shi, Yongtang 19 2020 Topics in Gallai-Ramsey theory. Zbl 1452.05001Magnant, Colton; Salehi Nowbandegani, Pouria 9 2020 Gallai-Ramsey numbers for rainbow paths. Zbl 1442.05237Li, Xihe; Besse, Pierre; Magnant, Colton; Wang, Ligong; Watts, Noah 4 2020 Ramsey and Gallai-Ramsey numbers for stars with extra independent edges. Zbl 1447.05204Mao, Yaping; Wang, Zhao; Magnant, Colton; Schiermeyer, Ingo 4 2020 Properly colored \(C_4\)’s in edge-colored graphs. Zbl 1448.05078Xu, Chuandong; Magnant, Colton; Zhang, Shenggui 3 2020 Strong geodetic number of graphs and connectivity. Zbl 1437.05081Wang, Zhao; Mao, Yaping; Ge, Huifen; Magnant, Colton 2 2020 On eternal domination and Vizing-type inequalities. Zbl 1468.05205Driscoll, Keith; Klostermeyer, William F.; Krop, Elliot; Magnant, Colton; Taylor, Patrick 1 2020 Gallai-Ramsey number of an 8-cycle. Zbl 1477.05119Gregory, Jonathan; Magnant, Colton; Magnant, Zhuojun 1 2020 The proper diameter of a graph. Zbl 1430.05026Coll, Vincent; Hook, Jonelle; Magnant, Colton; McCready, Karen; Ryan, Kathleen 1 2020 All partitions have small parts – Gallai-Ramsey numbers of bipartite graphs. Zbl 1404.05062Wu, Haibo; Magnant, Colton; Salehi Nowbandegani, Pouria; Xia, Suman 8 2019 Gallai-Ramsey numbers for books. Zbl 1419.05087Zou, Jinyu; Mao, Yaping; Magnant, Colton; Wang, Zhao; Ye, Chengfu 6 2019 Minimum degree condition for proper connection number 2. Zbl 1428.05109Huang, Fei; Li, Xueliang; Qin, Zhongmei; Magnant, Colton 4 2019 Colored complete hypergraphs containing no rainbow Berge triangles. Zbl 1429.05074Magnant, Colton 2 2019 General upper bounds on independent \(k\)-rainbow domination. Zbl 1407.05177Fujita, Shinya; Furuya, Michitaka; Magnant, Colton 2 2019 Properly colored connectivity of graphs. Zbl 1475.05002Li, Xueliang; Magnant, Colton; Qin, Zhongmei 18 2018 Total rainbow connection of digraphs. Zbl 1377.05096Lei, Hui; Liu, Henry; Magnant, Colton; Shi, Yongtang 13 2018 Bounds on the connected forcing number of a graph. Zbl 1402.05163Davila, Randy; Henning, Michael A.; Magnant, Colton; Pepper, Ryan 12 2018 The unbroken spectrum of type-A Frobenius seaweeds. Zbl 1464.17015Coll, Vincent E. jun.; Hyatt, Matthew; Magnant, Colton 6 2018 Enomoto and Ota’s conjecture holds for large graphs. Zbl 1402.05174Coll, Vincent; Halperin, Alexander; Magnant, Colton; Salehi Nowbandegani, Pouria 4 2018 A general lower bound on Gallai-Ramsey numbers for non-bipartite graphs. Zbl 1416.05188Magnant, Colton 2 2018 Monochromatic subgraphs in the absence of a properly colored 4-cycle. Zbl 1402.05075Magnant, Colton; Martin, Daniel M.; Salehi Nowbandegani, Pouria 2 2018 Gallai-Ramsey numbers for monochromatic triangles or 4-cycles. Zbl 1402.05082Wu, Haibo; Magnant, Colton 1 2018 On two conjectures about the proper connection number of graphs. Zbl 1365.05157Huang, Fei; Li, Xueliang; Qin, Zhongmei; Magnant, Colton; Ozeki, Kenta 8 2017 Symplectic meanders. Zbl 1414.17008Coll, Vincent E.; Hyatt, Matthew; Magnant, Colton 5 2017 Proper distance in edge-colored hypercubes. Zbl 1426.05023Cheng, Eddie; Magnant, Colton; Medarametla, Dhruv 3 2017 Tight Nordhaus-Gaddum-type upper bound for total-rainbow connection number of graphs. Zbl 1378.05065Li, Wenjing; Li, Xueliang; Magnant, Colton; Zhang, Jingshu 3 2017 Placing specified vertices at precise locations on a Hamiltonian cycle. Zbl 1368.05091Gould, Ronald J.; Magnant, Colton; Salehi Nowbandegani, Pouria 2 2017 Forbidden properly edge-colored subgraphs that force large highly connected monochromatic subgraphs. Zbl 1407.05096Katić, Robert; Magnant, Colton; Salehi Nowbandegani, Pouria 1 2017 Directed proper connection of graphs. Zbl 1462.05159Magnant, Colton; Morley, Patrick Ryan; Porter, Sarabeth; Nowbandegani, Pouria Salehi; Wang, Hua 12 2016 Note on vertex and total proper connection numbers. Zbl 1348.05112Chizmar, Emily; Magnant, Colton; Salehi Nowbandegani, Pouria 4 2016 Note on semi-linkage with almost prescribed lengths in large graphs. Zbl 1339.05196Chizmar, Emily; Magnant, Colton; Salehi Nowbandegani, Pouria 3 2016 Path partitions of almost regular graphs. Zbl 1333.05243Magnant, Colton; Wang, Hua; Yuan, Shuai 2 2016 ABC index of trees with fixed number of leaves. Zbl 1462.05081Goubko, Mikhail; Magnant, Colton; Salehi Nowbandegani, Pouria; Gutman, Ivan 18 2015 Which tree has the smallest ABC index among trees with \(k\) leaves? Zbl 1319.05039Magnant, Colton; Nowbandegani, Pouria Salehi; Gutman, Ivan 11 2015 General bounds on rainbow domination numbers. Zbl 1312.05105Fujita, Shinya; Furuya, Michitaka; Magnant, Colton 8 2015 Meander graphs and Frobenius seaweed Lie algebras. II. Zbl 1394.17022Coll, Vincent; Hyatt, Matthew; Magnant, Colton; Wang, Hua 6 2015 Rainbow \(k\)-connection in dense graphs. Zbl 1320.05040Fujita, Shinya; Liu, Henry; Magnant, Colton 6 2015 Results and problems on saturation numbers for linear forests. Zbl 1401.05155Chen, Guantao; Faudree, Jill R.; Faudree, Ralph J.; Gould, Ronald J.; Jacobson, Michael S.; Magnant, Colton 5 2015 Density of Gallai multigraphs. Zbl 1307.05074Magnant, Colton 2 2015 Improved upper bounds for Gallai-Ramsey numbers of paths and cycles. Zbl 1280.05042Hall, Martin; Magnant, Colton; Ozeki, Kenta; Tsugaki, Masao 18 2014 Multiply chorded cycles. Zbl 1292.05145Gould, Ronald; Horn, Paul; Magnant, Colton 7 2014 Variations of distance-based invariants of trees. Zbl 1310.05071Bartlett, Marcus; Krop, Elliot; Magnant, Colton; Mutiso, Fedelis; Wang, Hua 6 2014 Note on rainbow connection in oriented graphs with diameter 2. Zbl 1416.05106Holliday, Rebecca; Magnant, Colton; Nowbandegani, Pouria Salehi 4 2014 Integer solutions to box optimization problems. Zbl 1398.97033Coll, Vincent; Davis, Jeremy; Hall, Martin; Magnant, Colton; Stankewicz, James; Wang, Hua 3 2014 A decomposition of Gallai multigraphs. Zbl 1290.05075Halperin, Alexander; Magnant, Colton; Pula, Kyle 3 2014 Note on Enomoto and Ota’s conjecture for short paths in large graphs. Zbl 1306.05190Hall, Martin; Magnant, Colton; Wang, Hua 2 2014 Pancyclicity of 4-connected {claw, generalized bull}-free graphs. Zbl 1259.05092Ferrara, Michael; Gehrke, Silke; Gould, Ronald; Magnant, Colton; Powell, Jeffrey 6 2013 Conditions for families of disjoint \(k\)-connected subgraphs in a graph. Zbl 1260.05086Ferrara, Michael; Magnant, Colton; Wenger, Paul 3 2013 Disconnected colors in generalized Gallai-colorings. Zbl 1272.05048Fujita, Shinya; Gyárfás, András; Magnant, Colton; Seress, Ákos 2 2013 Forbidden rainbow subgraphs that force large highly connected monochromatic subgraphs. Zbl 1310.05091Fujita, Shinya; Magnant, Colton 2 2013 Proper connection of graphs. Zbl 1246.05090Borozan, Valentin; Fujita, Shinya; Gerek, Aydin; Magnant, Colton; Manoussakis, Yannis; Montero, Leandro; Tuza, Zsolt 67 2012 Extensions of Gallai-Ramsey results. Zbl 1247.05149Fujita, Shinya; Magnant, Colton 16 2012 Distributing vertices on Hamiltonian cycles. Zbl 1242.05152Faudree, Ralph J.; Gould, Ronald J.; Jacobson, Michael S.; Magnant, Colton 11 2012 Proper connection with many colors. Zbl 1270.05040Fujita, Shinya; Gerek, Aydin; Magnant, Colton 9 2012 Claw-free graphs and 2-factors that separate independent vertices. Zbl 1242.05153Faudree, Ralph J.; Magnant, Colton; Ozeki, Kenta; Yoshimoto, Kiyoshi 5 2012 \(k\)-rainbow domatic numbers. Zbl 1242.05201Fujita, Shinya; Furuya, Michitaka; Magnant, Colton 2 2012 Partitioning graphs into paths or cycles of prescribed lengths. Zbl 1262.05129Magnant, Colton; Ozeki, Kenta 1 2012 Structure of colored complete graphs free of proper cycles. Zbl 1266.05027Coll, Vincent; Magnant, Colton; Ryan, Kathleen 1 2012 Properly colored paths and cycles. Zbl 1228.05150Fujita, Shinya; Magnant, Colton 29 2011 Gallai-Ramsey numbers for cycles. Zbl 1222.05186Fujita, Shinya; Magnant, Colton 23 2011 Meanders and Frobenius seaweed Lie algebras. Zbl 1235.17003Coll, Vincent; Giaquinto, Anthony; Magnant, Colton 10 2011 Note on highly connected monochromatic subgraphs in 2-colored complete graphs. Zbl 1205.05090Fujita, Shinya; Magnant, Colton 7 2011 Rainbow \(k\)-connection in dense graphs (extended abstract). Zbl 1274.05157Fujita, Shinya; Liu, Henry; Magnant, Colton 6 2011 Saturation numbers for families of Ramsey-minimal graphs. Zbl 1252.05090Chen, Guantao; Ferrara, Michael; Gould, Ronald J.; Magnant, Colton; Schmitt, John 6 2011 Coloring rectangular blocks in 3-space. Zbl 1284.05105Magnant, Colton; Martin, Daniel M. 5 2011 Long path lemma concerning connectivity and independence number. Zbl 1226.05137Fujita, Shinya; Halperin, Alexander; Magnant, Colton 1 2011 Independence number and disjoint theta graphs. Zbl 1222.05114Fujita, Shinya; Magnant, Colton 1 2011 Ramsey set numbers in balanced complete multipartite graphs. Zbl 1234.05163Magnant, Colton; Yusko, Adam 1 2011 Rainbow generalizations of Ramsey theory: A survey. Zbl 1231.05178Fujita, Shinya; Magnant, Colton; Ozeki, Kenta 116 2010 Ramsey numbers in rainbow triangle free colorings. Zbl 1196.05052Faudree, Ralph J.; Gould, Ronald J.; Jacobson, Michael S.; Magnant, Colton 21 2010 Rainbow paths. Zbl 1209.05128Dellamonica, Domingos jun.; Magnant, Colton; Martin, Daniel M. 5 2010 An asymptotic version of a conjecture by Enomoto and Ota. Zbl 1208.05116Magnant, Colton; Martin, Daniel M. 4 2010 Pan-\(H\)-linked graphs. Zbl 1230.05185Ferrara, Michael; Magnant, Colton; Powell, Jeffrey 3 2010 Chvátal-Erdős type theorems. Zbl 1214.05069Faudree, Jill R.; Faudree, Ralph J.; Gould, Ronald J.; Jacobson, Michael S.; Magnant, Colton 1 2010 A note on the path cover number of regular graphs. Zbl 1218.05142Magnant, Colton; Martin, Daniel M. 9 2009 all cited Publications top 5 cited Publications all top 5 Cited by 541 Authors 44 Magnant, Colton 38 Li, Xueliang 21 Schiermeyer, Ingo 15 Zhang, Shenggui 13 Fujita, Shinya 12 Coll, Vincent E. jun. 12 Jin, Zemin 11 Mao, Yaping 11 Song, Zixia 10 Qin, Zhongmei 9 Jendrol’, Stanislav 9 Li, Ruonan 9 Salehi Nowbandegani, Pouria 9 Wang, Hua 8 Doan, Trung Duy 8 Huang, Fei 8 Li, Xihe 8 Ma, Yingbin 8 Shi, Yongtang 8 Wang, Ligong 7 Brause, Christoph 7 Broersma, Hajo J. 7 Lu, Mei 7 Wang, Zhao 7 Wei, Meiqin 6 Budden, Mark R. 6 Chen, Yaojun 6 Chiba, Shuya 6 Furuya, Michitaka 6 Gould, Ronald J. 6 Ji, Meng 6 Lan, Yongxin 6 Li, Binlong 6 Mayers, Nicholas W. 6 Ozeki, Kenta 6 Yoshimoto, Kiyoshi 5 Chang, Hong 5 Chen, Xiaozheng 5 Davila, Randy Ryan 5 Dimitrov, Darko 5 Faudree, Ralph Jasper jun. 5 Lei, Hui 5 Li, Hao 5 Zhang, Jingmei 4 Ferrara, Michael J. 4 Gorgol, Izolda 4 Gu, Ran 4 Gutin, Gregory Z. 4 Henning, Michael Anthony 4 Lai, Hong-Jian 4 Li, Shasha 4 Xiao, Jimeng 4 Xu, Chuandong 4 Yuan, Jinjiang 4 Yue, Jun 4 Zhang, Fangfang 4 Zhang, Jingshu 4 Zhao, Yan 3 Bai, Yandong 3 Cui, Qing 3 Das, Kinkar Chandra 3 Fang, Chunqiu 3 Galeana-Sánchez, Hortensia 3 Goddard, Wayne Dean 3 Gyárfás, András 3 Győri, Ervin 3 Halperin, Alexander 3 Han, Tingting 3 Hefetz, Dan 3 Huang, Zhong 3 Hyatt, Matthew 3 Jiang, Hui 3 Letzter, Shoham 3 Li, Ping 3 Li, Wenjing 3 Liu, Huaxin 3 Marinescu-Ghemeci, Ruxandra 3 Nie, Kairui 3 Popa, Alexandru 3 Russoniello, Nicholas V. 3 Sheng, Bin 3 Sidorowicz, Elżbieta 3 Sousa, Teresa Maria 3 Wahlström, Magnus 3 Wei, Bing 3 Wu, Baoyindureng 3 Wu, Fangfang 3 Yang, Weihua 3 Yeo, Anders 3 Zhao, Qinghong 3 Zhu, Xiaoyu 3 Zou, Jinyu 2 Aigner-Horev, Elad 2 Akbari, Saieed 2 Alishahi, Meysam 2 Asgharsharghi, Leila 2 Axenovich, Maria A. 2 Borozan, Valentin 2 Čada, Roman 2 Cai, Qingqiong ...and 441 more Authors all top 5 Cited in 70 Serials 61 Discrete Mathematics 56 Graphs and Combinatorics 51 Discrete Applied Mathematics 37 Applied Mathematics and Computation 16 Journal of Graph Theory 15 Discussiones Mathematicae. Graph Theory 14 Journal of Combinatorial Optimization 13 Bulletin of the Malaysian Mathematical Sciences Society. Second Series 12 European Journal of Combinatorics 11 The Electronic Journal of Combinatorics 8 The Australasian Journal of Combinatorics 7 Theoretical Computer Science 5 SIAM Journal on Discrete Mathematics 4 Journal of Combinatorial Theory. Series B 4 Discrete Mathematics, Algorithms and Applications 4 Electronic Journal of Graph Theory and Applications 3 Linear Algebra and its Applications 3 Integers 2 Journal of Algebra 2 Journal of Combinatorial Theory. Series A 2 Acta Mathematicae Applicatae Sinica. English Series 2 Journal of Algebraic Combinatorics 2 Opuscula Mathematica 2 AKCE International Journal of Graphs and Combinatorics 2 Parallel Processing Letters 2 Discrete Optimization 2 The College Mathematics Journal 2 Open Mathematics 1 Bulletin of the Australian Mathematical Society 1 Communications in Algebra 1 Information Processing Letters 1 Mathematics Magazine 1 Bulletin of the London Mathematical Society 1 Czechoslovak Mathematical Journal 1 Journal of Geometry 1 Pacific Journal of Mathematics 1 Results in Mathematics 1 Advances in Applied Mathematics 1 Combinatorica 1 Computers & Operations Research 1 SIAM Journal on Applied Mathematics 1 Bulletin of the American Mathematical Society. New Series 1 Proceedings of the Indian Academy of Sciences. Mathematical Sciences 1 Journal of Knot Theory and its Ramifications 1 Applied Mathematics. Series B (English Edition) 1 Combinatorics, Probability and Computing 1 Journal of Lie Theory 1 Computer Science Journal of Moldova 1 Mathematical Problems in Engineering 1 Transformation Groups 1 Theory of Computing Systems 1 Algebras and Representation Theory 1 Journal of Discrete Mathematical Sciences & Cryptography 1 Acta Mathematica Sinica. English Series 1 Fundamenta Informaticae 1 JP Journal of Algebra, Number Theory and Applications 1 Journal of Applied Mathematics and Computing 1 South East Asian Journal of Mathematics and Mathematical Sciences 1 Journal of Algebra and its Applications 1 Journal of Discrete Algorithms 1 Optimization Letters 1 Ars Mathematica Contemporanea 1 Science China. Mathematics 1 Transactions on Combinatorics 1 Journal of Mathematics 1 AIMS Mathematics 1 DML. Discrete Mathematics Letters 1 The Art of Discrete and Applied Mathematics 1 Advances in Combinatorics 1 Journal of Algebraic Systems all top 5 Cited in 18 Fields 382 Combinatorics (05-XX) 17 Computer science (68-XX) 13 Nonassociative rings and algebras (17-XX) 9 Biology and other natural sciences (92-XX) 7 Operations research, mathematical programming (90-XX) 4 Order, lattices, ordered algebraic structures (06-XX) 3 Number theory (11-XX) 3 Linear and multilinear algebra; matrix theory (15-XX) 3 Probability theory and stochastic processes (60-XX) 2 History and biography (01-XX) 2 Real functions (26-XX) 2 Manifolds and cell complexes (57-XX) 2 Mathematics education (97-XX) 1 Associative rings and algebras (16-XX) 1 Group theory and generalizations (20-XX) 1 Geometry (51-XX) 1 Differential geometry (53-XX) 1 Fluid mechanics (76-XX) Citations by Year