Edit Profile (opens in new tab) Hedetniemi, Stephen Travis Compute Distance To: Compute Author ID: hedetniemi.stephen-t Published as: Hedetniemi, Stephen T.; Hedetniemi, S. T.; Hedetniemi, Stephen; Hedetniemi, S.; Hedetniemi, Stephan T.; Hedetniemi, Stephen H.; Hedetniemi, Stepen T. Homepage: http://people.cs.clemson.edu/~hedet/Stephen_Hedetniemi/Stephen_T._Hedetniemi,_Pr... External Links: MGP · Wikidata · Google Scholar · ResearchGate · dblp · GND Documents Indexed: 276 Publications since 1967, including 1 Book 6 Contributions as Editor Biographic References: 3 Publications Co-Authors: 153 Co-Authors with 267 Joint Publications 2,885 Co-Co-Authors all top 5 Co-Authors 14 single-authored 73 Hedetniemi, Sandra Lee Mitchell 62 Haynes, Teresa W. 52 Laskar, Renu Chakravarti 33 McRae, Alice A. 25 Cockayne, Ernest J. 21 Fricke, Gerd H. 20 Goddard, Wayne Dean 20 Henning, Michael Anthony 17 Slater, Peter James 13 Hedetniemi, Jason T. 13 Jacobs, David P. 12 Chellali, Mustapha 12 Goodman, Seymour E. 9 Dunbar, Jean E. 7 Rall, Douglas F. 7 Srimani, Pradip K. 6 Chartrand, Gary Theodore 6 Hare, Eleanor O’M. 5 Cheston, Grant A. 5 Domke, Gayla S. 5 Favaron, Odile 5 Hare, William R. 5 Mohan, Raghuveer 5 Pfaff, John 5 Proskurowski, Andrzej 4 Blair, Jean R. S. 4 Farley, Arthur M. 4 Geller, Dennis P. 4 Hutson, Kevin R. 4 Kristiansen, Petter 4 Lewis, Thomas Michael 4 Mulder, Henry Martyn 4 Peters, Ken 4 Trevisan, Vilmar 4 Wimer, T. V. 3 Beyer, Terry 3 Brigham, Robert C. 3 Dutton, Ronald D. 3 Gairing, Martin 3 Gera, Ralucca 3 Harary, Frank 3 Hattingh, Johannes H. 3 Jamieson, William B. 3 Kennedy, K. E. 3 Knisely, James A. 3 Schroeder, Chris 2 Dean, Brian C. 2 Deering, Jessie 2 Desormeaux, Wyatt J. 2 Erdős, Pál 2 Fenstermacher, Todd 2 Hartnell, Bert L. 2 Hedetniemi, Kevin D. 2 Jamison, Robert E. 2 Knisley, Debra J. 2 Lewis, Jason 2 Liestman, Arthur L. 2 Markus, Lisa R. 2 McCoy, Tabitha L. 2 Mynhardt, Christina Magdalena 2 Phillips, Nicholas C. 2 Prins, Geert C. E. 2 Shi, Zhengnan 2 van der Merwe, Lucas C. 2 Vasylieva, Inna 2 Wallis, Charles K. 2 Zhang, Ping 1 Abdelbar, Ashraf M. 1 Ahmadi, Dora 1 Albertson, Michael O. 1 Allan, Robert B. 1 Arumugam, Subramanian 1 Beeler, Robert A. 1 Bernasconi, K. 1 Bernhard, P. J. 1 Boutrig, Razika 1 Case, Benjamin M. 1 Chandler, James D. jun. 1 Chandrasekharan, N. 1 Chang, Gerard Jennhwa 1 Zweig Chinn, Phyllis 1 Connelly, Elizabeth 1 Dabney, John 1 Dawes, Robyn M. 1 Delgado, Pamela 1 Devereaux, Stephen 1 Dreyer, Paul A. jun. 1 Erwin, David John 1 Farley, Art 1 Fellows, Michael Ralph 1 Fleck, Arthur C. 1 Forrester, Richard John 1 Ganguly, Soumendra 1 Geist, Robert Miller 1 Grobler, P. J. P. 1 Grossman, Jerrold Wayne 1 Hare, E. 1 Harris, Frederick C. jun. 1 Harris, John M. 1 Holliday, Sarah H. ...and 55 more Co-Authors all top 5 Serials 30 Discrete Mathematics 22 JCMCC. The Journal of Combinatorial Mathematics and Combinatorial Computing 18 Discrete Applied Mathematics 16 Congressus Numerantium 14 AKCE International Journal of Graphs and Combinatorics 11 Utilitas Mathematica 9 Ars Combinatoria 7 Information Processing Letters 6 Networks 6 Discussiones Mathematicae. Graph Theory 5 Journal of Combinatorics, Information & System Sciences 5 Journal of Combinatorial Theory. Series B 5 Bulletin of the Institute of Combinatorics and its Applications 4 SIAM Journal on Computing 3 The Australasian Journal of Combinatorics 3 Communications in Combinatorics and Optimization 2 Canadian Mathematical Bulletin 2 Journal of the Association for Computing Machinery 2 Journal of Graph Theory 2 Quaestiones Mathematicae 2 Theoretical Computer Science 2 SIAM Journal on Algebraic and Discrete Methods 2 SIAM Journal on Discrete Mathematics 2 Journal of Combinatorial Theory 2 Pure and Applied Mathematics, Marcel Dekker 2 Developments in Mathematics 2 Problem Books in Mathematics 2 DML. Discrete Mathematics Letters 1 Artificial Intelligence 1 Computers & Mathematics with Applications 1 International Journal of Computer & Information Sciences 1 Journal of Combinatorial Theory. Series A 1 Journal of Computer and System Sciences 1 Portugaliae Mathematica 1 European Journal of Combinatorics 1 Graphs and Combinatorics 1 International Journal of Foundations of Computer Science 1 Aequationes Mathematicae 1 Nordic Journal of Computing 1 The Electronic Journal of Combinatorics 1 ELA. The Electronic Journal of Linear Algebra 1 Parallel Processing Letters 1 Proceedings of the Cambridge Philosophical Society 1 Naval Research Logistics Quarterly 1 Annals of Discrete Mathematics 1 Applicable Analysis and Discrete Mathematics all top 5 Fields 250 Combinatorics (05-XX) 64 Computer science (68-XX) 9 Information and communication theory, circuits (94-XX) 8 General and overarching topics; collections (00-XX) 6 Operations research, mathematical programming (90-XX) 3 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 2 History and biography (01-XX) 2 Order, lattices, ordered algebraic structures (06-XX) 1 Number theory (11-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Group theory and generalizations (20-XX) 1 Real functions (26-XX) 1 Numerical analysis (65-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 220 Publications have been cited 5,464 times in 3,040 Documents Cited by ▼ Year ▼ Fundamentals of domination in graphs. Zbl 0890.05002Haynes, Teresa W.; Hedetniemi, Stephen T.; Slater, Peter J. 1,318 1998 Domination in graphs. Advanced topics. Zbl 0883.00011 512 1998 Total domination in graphs. Zbl 0447.05039Cockayne, E. J.; Dawes, R. M.; Hedetniemi, S. T. 249 1980 A survey of gossiping and broadcasting in communication networks. Zbl 0649.90047Hedetniemi, Sandra M.; Hedetniemi, Stephen T.; Liestman, Arthur L. 204 1988 Roman domination in graphs. Zbl 1036.05034Cockayne, Ernie J.; Dreyer, Paul A. jun.; Hedetniemi, Sandra M.; Hedetniemi, Stephen T. 199 2004 Towards a theory of domination. Zbl 0384.05051Cockayne, E. J.; Hedetniemi, S. T. 174 1977 Domination in graphs applied to electric power networks. Zbl 1006.05043Haynes, Teresa W.; Hedetniemi, Sandra M.; Hedetniemi, Stephen T.; Henning, Michael A. 99 2002 A linear algorithm for the domination number of a tree. Zbl 0311.68024Cockayne, E.; Goodman, S.; Hedetniemi, S. 85 1975 Alliances in graphs. Zbl 1051.05068Kristiansen, Petter; Hedetniemi, Sandra M.; Hedetniemi, Stephen T. 71 2004 Defending the Roman Empire—a new strategy. Zbl 1024.05068Henning, Michael A.; Hedetniemi, Stephen T. 66 2003 Properties of hereditary hypergraphs and middle graphs. Zbl 0393.05044Cockayne, E. J.; Hedetniemi, S. T.; Miller, D. J. 64 1978 Double Roman domination. Zbl 1348.05146Beeler, Robert A.; Haynes, Teresa W.; Hedetniemi, Stephen T. 63 2016 Signed domination in graphs. Zbl 0842.05051Dunbar, Jean; Hedetniemi, Stephen; Henning, Michael A.; Slater, Peter J. 62 1995 Broadcast chromatic numbers of graphs. Zbl 1224.05172Goddard, Wayne; Hedetniemi, Sandra M.; Hedetniemi, Stephen T.; Harris, John M.; Rall, Douglas F. 58 2008 Graphs with forbidden subgraphs. Zbl 0223.05101Chartrand, Gary; Geller, Dennis; Hedetniemi, Stephen 55 1971 Roman \(\{2 \}\)-domination. Zbl 1333.05217Chellali, Mustapha; Haynes, Teresa W.; Hedetniemi, Stephen T.; McRae, Alice A. 51 2016 An interpolation theorem for graphical homomorphisms. Zbl 0187.20903Harary, Frank; Hedetniemi, S.; Prins, G. 47 1967 Bibliography on domination in graphs and some basic definitions of domination parameters. Zbl 0733.05076Hedetniemi, S. T.; Laskar, R. C. 45 1990 Information dissemination in trees. Zbl 0468.68064Slater, P. J.; Cockayne, E. J.; Hedetniemi, S. T. 45 1981 Restrained domination in graphs. Zbl 1114.05303Domke, Gayla S.; Hattingh, Johannes H.; Hedetniemi, Stephen T.; Laskar, Renu C.; Markus, Lisa R. 45 1999 Global defensive alliances in graphs. Zbl 1031.05096Haynes, Teresa W.; Hedetniemi, Stephen T.; Henning, Michael A. 45 2003 On the algorithmic complexity of total domination. Zbl 0576.68056Laskar, Renu; Pfaff, John; Hedetniemi, S. M.; Hedetniemi, S. T. 44 1984 Edge domination in trees. Zbl 0433.05023Mitchell, S.; Hedetniemi, S. 44 1977 Minimum broadcast graphs. Zbl 0404.05038Farley, Arthur; Hedetniemi, Stephen; Mitchell, Sandra; Proskurowski, Andrzej 38 1979 Eternal security in graphs. Zbl 1067.05051Goddard, Wayne; Hedetniemi, Sandra M.; Hedetniemi, Stephen T. 37 2005 Uniquely colorable graphs. Zbl 0175.50205Harary, Frank; Hedetniemi, S. T.; Robinson, R. W. 36 1969 Offensive alliances in graphs. Zbl 1064.05112Favaron, Odile; Fricke, Gerd; Goddard, Wayne; Hedetniemi, Sandra M.; Hedetniemi, Stephen T.; Kristiansen, Petter; Laskar, Renu C.; Skaggs, R. Duane 34 2004 Minus domination in graphs. Zbl 0928.05046Dunbar, Jean; Hedetniemi, Stephen; Henning, Michael A.; McRae, Alice 34 1999 The achromatic number of a graph. Zbl 0195.25702Harary, Frank; Hedetniemi, Stephen 34 1970 Sufficient conditions for a graph to be Hamiltonian. Zbl 0275.05126Goodman, S.; Hedetniemi, S. 33 1974 Broadcasts in graphs. Zbl 1081.05084Dunbar, Jean E.; Erwin, David J.; Haynes, Teresa W.; Hedetniemi, Sandra M.; Hedetniemi, Stephen T. 30 2006 Irredundance in graphs: A survey. Zbl 0647.05060Hedetniemi, S. T.; Laskar, R.; Pfaff, John 27 1985 Connected domination in graphs. Zbl 0548.05055Hedetniemi, S. T.; Laskar, Renu 26 1984 Differentials in graphs. Zbl 1103.05087Mashburn, J. L.; Haynes, T. W.; Hedetniemi, S. M.; Hedetniemi, S. T.; Slater, P. J. 26 2006 Extremal graphs for inequalities involving domination parameters. Zbl 0954.05037Xu, Baogen; Cockayne, E. J.; Haynes, Teresa W.; Hedetniemi, Stephen T.; Zhou, Shangchao 25 2000 Line graphs of triangleless graphs and iterated clique graphs. Zbl 0255.05121Hedetniemi, S. T.; Slater, P. J. 24 1972 Bounds on weak Roman and 2-rainbow domination numbers. Zbl 1300.05212Chellali, Mustapha; Haynes, Teresa W.; Hedetniemi, Stephen T. 24 2014 The subchromatic number of a graph. Zbl 0681.05033Albertson, M. O.; Jamison, R. E.; Hedetniemi, S. T.; Locke, S. C. 24 1989 Disjoint independent dominating sets in graphs. Zbl 0364.05035Cockayne, E. J.; Hedetniemi, S. T. 24 1976 A methodology for constructing linear graph algorithms. Zbl 0603.68040Wimer, T. V.; Hedetniemi, S. T.; Laskar, R. 23 1985 \(\gamma\)-graphs of graphs. Zbl 1229.05219Fricke, Gerd H.; Hedetniemi, Sandra M.; Hedetniemi, Stephen T.; Hutson, Kevin R. 23 2011 A linear algorithm for finding a minimum dominating set in a cactus. Zbl 0596.05051Hedetniemi, S. T.; Laskar, Renu; Pfaff, John 22 1986 Security in graphs. Zbl 1125.05071Brigham, Robert C.; Dutton, Ronald D.; Hedetniemi, Stephen T. 22 2007 The algorithmic complexity of minus domination in graphs. Zbl 0848.05041Dunbar, Jean; Goddard, Wayne; Hedetniemi, Stephen; McRae, Alice; Henning, Michael A. 22 1996 On the computational complexity of upper fractional domination. Zbl 0717.05068Cheston, Grant A.; Fricke, G.; Hedetniemi, S. T.; Jacobs, D. Pokrass 21 1990 Independence graphs. Zbl 0305.05114Cockayne, E. J.; Hedetniemi, S. T. 21 1974 Independent domination in trees. Zbl 0417.05020Beyer, T.; Proskurowski, A.; Hedetniemi, S.; Mitchell, S. 20 1977 A sharp lower bound on the powerful alliance number of \(C_m\square C_n\). Zbl 1066.05100Brigham, Robert C.; Dutton, Ronald D.; Hedetniemi, Stephen T. 20 2004 A census of minimum broadcast graphs. Zbl 0449.05034Mitchell, Sandra; Hedetniemi, Stephen 20 1980 Total domination subdivision numbers. Zbl 1020.05048Haynes, Teresa W.; Hedetniemi, Stephen T.; van der Merwe, Lucas C. 20 2003 A generalization of the chromatic number. Zbl 0173.26204Chartrand, G.; Geller, D. P.; Hedetniemi, S. 20 1968 A note on total domination. Zbl 0576.05028Allan, Robert B.; Laskar, Renu; Hedetniemi, Stephen 19 1984 On weakly connected domination in graphs. Zbl 0871.05037Dunbar, Jean E.; Grossman, Jerrold W.; Hattingh, Johannes H.; Hedetniemi, Stephen T.; McRae, Alice A. 19 1997 A note on defensive alliances in graphs. Zbl 1050.05096Fricke, Gerd H.; Lawson, Linda M.; Haynes, Teresa W.; Hedetniemi, Sandra M.; Hedetniemi, Stephen T. 19 2003 \([1,2]\)-sets in graphs. Zbl 1287.05098Chellali, Mustapha; Haynes, Teresa W.; Hedetniemi, Stephen T.; McRae, Alice 18 2013 Perfect domination in graphs. Zbl 0855.05073Cockayne, E. J.; Hartnell, B. L.; Hedetniemi, S. T.; Laskar, R. 18 1993 The private neighbor cube. Zbl 0795.05078Fellows, Michael; Fricke, Gerd; Hedetniemi, Stephen; Jacobs, David 18 1994 Vertex-edge domination in graphs. Zbl 1337.05080Boutrig, Razika; Chellali, Mustapha; Haynes, Teresa W.; Hedetniemi, Stephen T. 17 2016 Powerful alliances in graphs. Zbl 1211.05101Brigham, Robert C.; Dutton, Ronald D.; Haynes, Teresa W.; Hedetniemi, Stephen T. 17 2009 Linear-time computability of combinatorial problems on generalized- series-parallel graphs. Zbl 0643.68093Hare, E.; Hedetniemi, S.; Laskar, R.; Peters, K.; Wimer, T. 16 1987 Topics in domination in graphs. Zbl 1470.05008 16 2020 Minus domination in regular graphs. Zbl 0843.05059Dunbar, Jean; Hedetniemi, Stephen; Henning, Michael A.; McRae, Alice A. 16 1996 A note on packing two trees into \(K_ n\). Zbl 0491.05050Hedetniemi, S. M.; Hedetniemi, S. T.; Slater, P. J. 16 1981 Vertex-edge domination. Zbl 1207.05144Lewis, Jason; Hedetniemi, Stephen T.; Haynes, Teresa W.; Fricke, Gerd H. 16 2010 Disjoint dominating sets in graphs. Zbl 1171.05038Hedetniemi, Sandra M.; Hedetniemi, Stephen T.; Laskar, Renu C.; Markus, Lisa; Slater, Peter J. 15 2008 Fractional packings, coverings, and irredundance in graphs. Zbl 0722.05052Domke, Gayla S.; Hedetniemi, Stephen T.; Laskar, Renu C. 15 1988 Relationships between integer and fractional parameters of graphs. Zbl 0840.05041Domke, Gayla S.; Hedetniemi, Stephen T.; Laskar, Renu C.; Fricke, Gerd 15 1991 Generalized subgraph-restricted matchings in graphs. Zbl 1063.05108Goddard, Wayne; Hedetniemi, Sandra M.; Hedetniemi, Stephen T.; Laskar, Renu 15 2005 Domination subdivision numbers. Zbl 1006.05042Haynes, Teresa W.; Hedetniemi, Sandra M.; Hedetniemi, Stephen T.; Jacobs, David P.; Knisely, James; van der Merwe, Lucas C. 14 2001 Distance-\(k\) knowledge in self-stabilizing algorithms. Zbl 1146.68057Goddard, Wayne; Hedetniemi, Stephen T.; Jacobs, David P.; Trevisan, Vilmar 14 2008 Introduction to “Topics on Domination”. Zbl 0728.05056Hedetniemi, S. T.; Laskar, R. C. 13 1990 Linear algorithms on recursive representations of trees. Zbl 0398.68008Mitchell, S. L.; Cockayne, E. J.; Hedetniemi, S. T. 13 1979 Reducing the adjacency matrix of a tree. Zbl 0886.05048Fricke, Gerd H.; Hedetniemi, Stephen T.; Jacobs, David P.; Trevisan, Vilmar 13 1996 Matchings and transversals in hypergraphs, domination and independence in trees. Zbl 0414.05036Cockayne, E. J.; Hedetniemi, S. T.; Slater, P. J. 13 1979 Self-stabilizing algorithms for minimal dominating sets and maximal independent sets. Zbl 1043.05089Hedetniemi, S. M.; Hedetniemi, S. T.; Jacobs, D. P.; Srimani, P. K. 13 2003 What makes an irredundant set maximal? Zbl 0907.05032Cockayne, E. J.; Grobler, P. J. P.; Hedetniemi, S. T.; McRae, A. A. 13 1997 On partitioning planar graphs. Zbl 0167.21805Hedetniemi, S. 13 1968 A linear-time algorithm for broadcast domination in a tree. Zbl 1175.68288Dabney, John; Dean, Brian C.; Hedetniemi, Stephen T. 13 2009 Algorithms for computing the domination number of k\(\times n\) complete grid graphs. Zbl 0637.68077Hare, E. O.; Hedetniemi, S. T.; Hare, W. R. 12 1986 Few compare to the great Roman Empire. Zbl 1293.05263Hedetniemi, Stephen T.; Rubalcaba, Robert R.; Slater, Peter J.; Walsh, Matt 12 2013 Linear time self-stabilizing colorings. Zbl 1161.68340Hedetniemi, Stephen T.; Jacobs, David P.; Srimani, Pradip K. 12 2003 \(k\)-path partitions in trees. Zbl 0890.68101Yan, Jing-Ho; Chang, Gerard J.; Hedetniemi, Sandra M.; Hedetniemi, Stephen T. 12 1997 On the diagonal queens domination problem. Zbl 0589.05014Cockayne, E. J.; Hedetniemi, S. T. 11 1986 Linear algorithms for independent domination and total domination in series-parallel graphs. Zbl 0571.05045Pfaff, John; Laskar, Renu; Hedetniemi, S. T. 11 1984 Maximal matching stabilizes in time \(O(m)\). Zbl 1003.68004Hedetniemi, Stephen T.; Jacobs, David P.; Srimani, Pradip K. 11 2001 Fall colorings of graphs. Zbl 0962.05020Dunbar, J. E.; Hedetniemi, S. M.; Hedetniemi, S. T.; Jacobs, D. P.; Knisely, J.; Laskar, R. C.; Rall, D. F. 11 2000 Advances on the Hamiltonian completion problem. Zbl 0307.05123Goodman, S. E.; Hedetniemi, S. T.; Slater, P. J. 11 1975 On domination and reinforcement numbers in trees. Zbl 1133.05065Blair, Jean R. S.; Goddard, Wayne; Hedetniemi, Stephen T.; Horton, Steve; Jones, Patrick; Kubicki, Grzegorz 10 2008 Gallai theorems for graphs, hypergraphs, and set systems. Zbl 0728.05050Cockayne, E. J.; Hedetniemi, S. T.; Laskar, R. 10 1988 Combinatorial problems on chessboards: A brief survey. Zbl 0843.05061Fricke, Gerd H.; Hedetniemi, Sandra M.; Hedetniemi, Stepen T.; McRae, Alice A.; Wallis, Charles K.; Jacobson, Michael S.; Martin, Harold W.; Weakley, William D. 10 1995 Characterizations and constructions of minimally 2-connected graphs and minimally strong digraphs. Zbl 0297.05120Hedetniemi, S. 10 1971 On the Hamiltonian completion problem. Zbl 0297.05134Goodman, S.; Hedetniemi, S. 10 1974 On hamiltonian walks in graphs. Zbl 0269.05113Goodman, S. E.; Hedetniemi, S. T. 10 1974 Structures of domination in graphs. Zbl 1470.05007 9 2021 Domination number and Laplacian eigenvalue distribution. Zbl 1328.05141Hedetniemi, Stephen T.; Jacobs, David P.; Trevisan, Vilmar 9 2016 Simplicial graphs. Zbl 0668.05041Cheston, Grant A.; Hare, E. O.; Hedetniemi, S. T.; Laskar, R. C. 9 1988 K-terminal recursive families of graphs. Zbl 0673.05081Wimer, T. V.; Hedetniemi, S. T. 9 1988 A note on \(\gamma\)-graphs. Zbl 1236.05200Connelly, Elizabeth; Hutson, Kevin R.; Hedetniemi, Stephen T. 9 2011 Topics on domination. Zbl 0716.00005 9 1991 A characterization of trees with equal domination and global strong alliance numbers. Zbl 1062.05108Haynes, Teresa W.; Hedetniemi, Stephen T.; Henning, Michael A. 9 2004 Structures of domination in graphs. Zbl 1470.05007 9 2021 Vertex sequences in graphs. Zbl 07486957Haynes, Teresa W.; Hedetniemi, Stephen T. 1 2021 Topics in domination in graphs. Zbl 1470.05008 16 2020 Models of domination in graphs. Zbl 1479.05271Haynes, Teresa W.; Hedetniemi, Stephen T.; Henning, Michael A. 2 2020 The 2-dimension of a tree. Zbl 1449.05048Hedetniemi, Jason T.; Hedetniemi, Stephen T.; Laskar, Renu C.; Mulder, Henry Martyn 1 2020 The transitivity of special graph classes. Zbl 1452.05081Haynes, Teresa W.; Hedetniemi, Jason T.; Hedetniemi, Stephen T.; McRae, Alice; Phillips, Nicholas 2 2019 Different-distance sets in a graph. Zbl 1438.05088Hedetniemi, Jason T.; Hedetniemi, Stephen T.; Laskar, Renu C.; Mulder, Henry Martyn 1 2019 Rainbow disconnection in graphs. Zbl 1392.05038Chartrand, Gary; Devereaux, Stephen; Haynes, Teresa W.; Hedetniemi, Stephen T.; Zhang, Ping 8 2018 An annotated glossary of graph theory parameters, with conjectures. Zbl 1414.05283Gera, Ralucca; Haynes, Teresa W.; Hedetniemi, Stephen T.; Henning, Michael A. 3 2018 Distribution centers in graphs. Zbl 1387.05182Desormeaux, Wyatt J.; Haynes, Teresa W.; Hedetniemi, Stephen T.; Moore, Christian 2 2018 The transitivity of a graph. Zbl 1390.05167Hedetniemi, Stephen T.; Hedetniemi, Jason T. 2 2018 Client-server and cost effective sets in graphs. Zbl 1403.05111Chellali, Mustapha; Haynes, Teresa W.; Hedetniemi, Stephen T. 1 2018 Downhill and uphill domination in graphs. Zbl 1367.05157Deering, Jessie; Haynes, Teresa W.; Hedetniemi, Stephen T.; Jamieson, William 4 2017 Partial domination in graphs. Zbl 1388.05136Case, Benjamin M.; Hedetniemi, Stephen T.; Laskar, Renu C.; Lipman, Drew J. 3 2017 On \(ve\)-degrees and \(ev\)-degrees in graphs. Zbl 1351.05057Chellali, Mustapha; Haynes, Teresa W.; Hedetniemi, Stephen T.; Lewis, Thomas M. 3 2017 A polynomial time algorithm for downhill and uphill domination. Zbl 1383.05171Deering, Jessie; Haynes, Teresa W.; Hedetniemi, Stephen T.; Jamieson, William 2 2017 Restricted optimal pebbling and domination in graphs. Zbl 1357.05111Chellali, Mustapha; Haynes, Teresa W.; Hedetniemi, Stephen T.; Lewis, Thomas M. 2 2017 Double Roman domination. Zbl 1348.05146Beeler, Robert A.; Haynes, Teresa W.; Hedetniemi, Stephen T. 63 2016 Roman \(\{2 \}\)-domination. Zbl 1333.05217Chellali, Mustapha; Haynes, Teresa W.; Hedetniemi, Stephen T.; McRae, Alice A. 51 2016 Vertex-edge domination in graphs. Zbl 1337.05080Boutrig, Razika; Chellali, Mustapha; Haynes, Teresa W.; Hedetniemi, Stephen T. 17 2016 Domination number and Laplacian eigenvalue distribution. Zbl 1328.05141Hedetniemi, Stephen T.; Jacobs, David P.; Trevisan, Vilmar 9 2016 Lower bounds on the roman and independent roman domination numbers. Zbl 1461.05154Chellali, Mustapha; Haynes, Teresa W.; Hedetniemi, Stephen T. 7 2016 A Roman domination chain. Zbl 1334.05098Chellali, Mustapha; Haynes, Teresa W.; Hedetniemi, Sandra M.; Hedetniemi, Stephen T.; McRae, Alice A. 6 2016 Split domination, independence, and irredundance in graphs. Zbl 1360.05114Hedetniemi, Stephen; Knoll, Fiona; Laskar, Renu 1 2016 On the equivalence of the upper open irredundance and fractional upper open irredundance numbers of a graph. Zbl 1360.05175Fricke, Gerd H.; O’Brien, Tim; Schroeder, Chris; Hedetniemi, Stephen T. 1 2016 Bounds on cost effective domination numbers. Zbl 1423.05123Haynes, Teresa W.; Hedetniemi, Stephen T.; McCoy, Tabitha L.; Rodriguez, Tony K. 1 2016 Neighborhood-restricted \([\leq 2]\)-achromatic colorings. Zbl 1337.05037Chandler, James D.; Desormeaux, Wyatt J.; Haynes, Teresa W.; Hedetniemi, Stephen T. 1 2016 Broadcast irredundance in graphs. Zbl 1338.05259Ahmadi, Dora; Fricke, Gerd H.; Schroeder, Chris; Hedetniemi, Stephen T.; Laskar, Renu C. 4 2015 Roman and total domination. Zbl 1426.05127Chellali, Mustapha; Haynes, Teresa W.; Hedetniemi, Stephen T. 2 2015 Very cost effective bipartitions in graphs. Zbl 1346.05230Haynes, Teresa W.; Hedetniemi, Stephen T.; Vasylieva, Inna 2 2015 A theorem of Ore and self-stabilizing algorithms for disjoint minimal dominating sets. Zbl 1331.05169Hedetniemi, Stephen T.; Jacobs, David P.; Kennedy, K. E. 2 2015 The covering chain of a graph. Zbl 1343.05114Arumugam, S.; Hedetniemi, S. T.; Hedetniemi, S. M.; Sathikala, L.; Sudha, S. 2 2015 Bounds on weak Roman and 2-rainbow domination numbers. Zbl 1300.05212Chellali, Mustapha; Haynes, Teresa W.; Hedetniemi, Stephen T. 24 2014 Independent \([1,k]\)-sets in graphs. Zbl 1296.05148Chellali, Mustapha; Favaron, Odile; Haynes, Teresa W.; Hedetniemi, Stephen T.; McRae, Alice 9 2014 Downhill domination in graphs. Zbl 1295.05176Haynes, Teresa W.; Hedetniemi, Stephen T.; Jamieson, Jessie D.; Jamieson, William B. 3 2014 \([1,2]\)-sets in graphs. Zbl 1287.05098Chellali, Mustapha; Haynes, Teresa W.; Hedetniemi, Stephen T.; McRae, Alice 18 2013 Few compare to the great Roman Empire. Zbl 1293.05263Hedetniemi, Stephen T.; Rubalcaba, Robert R.; Slater, Peter J.; Walsh, Matt 12 2013 Quorum colorings of graphs. Zbl 1309.05072Hedetniemi, Sandra M.; Hedetniemi, Stephen T.; Laskar, Renu; Mulder, Henry Martyn 3 2013 Self-stabilizing algorithms for unfriendly partitions into two disjoint dominating sets. Zbl 1284.05288Hedetniemi, Sandra M.; Hedetniemi, Stephen T.; Kennedy, K. E.; McRae, Alice A. 3 2013 Analyzing graphs by degrees. Zbl 1293.05051Hedetniemi, Jason T.; Hedetniemi, Sandra M.; Hedetniemi, Stephen T.; Lewis, Thomas M. 2 2013 Perfection in graphs, a new look at irredundance. Zbl 1274.05354Hedetniemi, Jason T.; Hedetniemi, Sandra M.; Hedetniemi, Stephen T. 2 2013 A self-stabilizing algorithm for optimally efficient sets in graphs. Zbl 1248.05199Hedetniemi, Sandra M.; Hedetniemi, Stephen T.; Jiang, Hao; Kennedy, K. E.; McRae, Alice A. 5 2012 Cost effective domination in graphs. Zbl 1278.05171Haynes, Teresa W.; Hedetniemi, Sandra M.; Hedetniemi, Stephen T.; McCoy, Tabitha L.; Vasylieva, Inna 5 2012 Secondary and internal distances of sets in graphs. II. Zbl 1257.05033Hedetniemi, Jason T.; Hedetniemi, Kevin D.; Hedetniemi, Sandra M.; Hedetniemi, Stephen T. 1 2012 The algorithmic complexity of domination digraphs. Zbl 1247.05152Goddard, Wayne; Hedetniemi, Sandra M.; Hedetniemi, Stephen T.; McRae, Alice A. 1 2012 \(\gamma\)-graphs of graphs. Zbl 1229.05219Fricke, Gerd H.; Hedetniemi, Sandra M.; Hedetniemi, Stephen T.; Hutson, Kevin R. 23 2011 A note on \(\gamma\)-graphs. Zbl 1236.05200Connelly, Elizabeth; Hutson, Kevin R.; Hedetniemi, Stephen T. 9 2011 A four colorings theorem. Zbl 1233.05100Chartrand, Gary; Hedetniemi, Stephen T.; Okamoto, Futaba; Zhang, Ping 2 2011 Matchability and \(k\)-maximal matchings. Zbl 1203.05125Dean, Brian C.; Hedetniemi, Sandra M.; Hedetniemi, Stephen T.; Lewis, Jason; McRae, Alice A. 1 2011 Vertex-edge domination. Zbl 1207.05144Lewis, Jason; Hedetniemi, Stephen T.; Haynes, Teresa W.; Fricke, Gerd H. 16 2010 Powerful alliances in graphs. Zbl 1211.05101Brigham, Robert C.; Dutton, Ronald D.; Haynes, Teresa W.; Hedetniemi, Stephen T. 17 2009 A linear-time algorithm for broadcast domination in a tree. Zbl 1175.68288Dabney, John; Dean, Brian C.; Hedetniemi, Stephen T. 13 2009 The algorithmic complexity of alliances in graphs. Zbl 1176.05056Jamieson, Lindsay H.; Hedetniemi, Stephen T.; McRae, Alice A. 9 2009 Dominator partitions of graphs. Zbl 1271.05078Hedetniemi, Sandra M.; Hedetniemi, Stephen T.; Laskar, Renu; McRae, Alice A.; Wallis, Charles K. 4 2009 Secondary and internal distances of sets in graphs. Zbl 1210.05032Hedetniemi, Jason T.; Hedetniemi, Kevin D.; Hedetniemi, Sandra M.; Hedetniemi, Stephen T. 1 2009 A note on trees, tables, and algorithms. Zbl 1192.68481Goddard, Wayne; Hedetniemi, Stephen T. 1 2009 Broadcast chromatic numbers of graphs. Zbl 1224.05172Goddard, Wayne; Hedetniemi, Sandra M.; Hedetniemi, Stephen T.; Harris, John M.; Rall, Douglas F. 58 2008 Disjoint dominating sets in graphs. Zbl 1171.05038Hedetniemi, Sandra M.; Hedetniemi, Stephen T.; Laskar, Renu C.; Markus, Lisa; Slater, Peter J. 15 2008 Distance-\(k\) knowledge in self-stabilizing algorithms. Zbl 1146.68057Goddard, Wayne; Hedetniemi, Stephen T.; Jacobs, David P.; Trevisan, Vilmar 14 2008 On domination and reinforcement numbers in trees. Zbl 1133.05065Blair, Jean R. S.; Goddard, Wayne; Hedetniemi, Stephen T.; Horton, Steve; Jones, Patrick; Kubicki, Grzegorz 10 2008 Secondary domination in graphs. Zbl 1176.05055Hedetniemi, Sandra M.; Hedetniemi, Stephen T.; Knisely, James; Rall, Douglas F. 5 2008 Irredundant colorings of graphs. Zbl 1181.05041Haynes, Teresa W.; Hedetniemi, Sandra M.; Hedetniemi, Stephen T.; McRae, Alice A.; Slater, Peter J. 2 2008 Security in graphs. Zbl 1125.05071Brigham, Robert C.; Dutton, Ronald D.; Hedetniemi, Stephen T. 22 2007 Broadcasts in graphs. Zbl 1081.05084Dunbar, Jean E.; Erwin, David J.; Haynes, Teresa W.; Hedetniemi, Sandra M.; Hedetniemi, Stephen T. 30 2006 Differentials in graphs. Zbl 1103.05087Mashburn, J. L.; Haynes, T. W.; Hedetniemi, S. M.; Hedetniemi, S. T.; Slater, P. J. 26 2006 Unsolved algorithmic problems on trees. Zbl 1104.05056Hedetniemi, Stephen T. 6 2006 On the equivalence of the upper irredundance and fractional upper irredundance numbers of a graph. Zbl 1104.05055Fricke, G. H.; Hedetniemi, S. T.; Jacobs, D. P. 5 2006 Distance-\(k\) information in self-stabilizing algorithms. Zbl 1222.68411Goddard, Wayne; Hedetniemi, Stephen T.; Jacobs, David P.; Trevisan, Vilmar 3 2006 Eternal security in graphs. Zbl 1067.05051Goddard, Wayne; Hedetniemi, Sandra M.; Hedetniemi, Stephen T. 37 2005 Generalized subgraph-restricted matchings in graphs. Zbl 1063.05108Goddard, Wayne; Hedetniemi, Sandra M.; Hedetniemi, Stephen T.; Laskar, Renu 15 2005 Nordhaus-Gaddum bounds for domination sums in graphs with specified minimum degree. Zbl 1066.05103Dunbar, Jean E.; Haynes, Teresa W.; Hedetniemi, Stephen T. 6 2005 An algorithm for partial Grundy number on trees. Zbl 1077.05046Shi, Zhengnan; Goddard, Wayne; Hedetniemi, Stephen T.; Kennedy, Ken; Laskar, Renu; McRae, Alice 5 2005 Self-stabilizing algorithms for orderings and colorings. Zbl 1098.68140Goddard, Wayne; Hedetniemi, Stephen T.; Jacobs, David P.; Srimani, Pradip K. 3 2005 Roman domination in graphs. Zbl 1036.05034Cockayne, Ernie J.; Dreyer, Paul A. jun.; Hedetniemi, Sandra M.; Hedetniemi, Stephen T. 199 2004 Alliances in graphs. Zbl 1051.05068Kristiansen, Petter; Hedetniemi, Sandra M.; Hedetniemi, Stephen T. 71 2004 Offensive alliances in graphs. Zbl 1064.05112Favaron, Odile; Fricke, Gerd; Goddard, Wayne; Hedetniemi, Sandra M.; Hedetniemi, Stephen T.; Kristiansen, Petter; Laskar, Renu C.; Skaggs, R. Duane 34 2004 A sharp lower bound on the powerful alliance number of \(C_m\square C_n\). Zbl 1066.05100Brigham, Robert C.; Dutton, Ronald D.; Hedetniemi, Stephen T. 20 2004 A characterization of trees with equal domination and global strong alliance numbers. Zbl 1062.05108Haynes, Teresa W.; Hedetniemi, Stephen T.; Henning, Michael A. 9 2004 Domination subdivision numbers in graphs. Zbl 1071.05057Favaron, Odile; Haynes, Teresa W.; Hedetniemi, Stephen T. 9 2004 Domination and irredundance in tournaments. Zbl 1052.05056Reid, K. B.; McRae, A. A.; Hedetniemi, S. M.; Hedetniemi, S. T. 8 2004 An anonymous self-stabilizing algorithm for 1-maximal independent set in trees. Zbl 1178.68384Shi, Zhengnan; Goddard, Wayne; Hedetniemi, Stephen T. 7 2004 A self-stabilizing algorithm for maximal 2-packing. Zbl 1096.68013Gairing, Martin; Geist, Robert M.; Hedetniemi, Stephen T.; Kristiansen, Petter 6 2004 Iterated colorings of graphs. Zbl 1038.05022Hedetniemi, Sandra M.; Hedetniemi, Stephen T.; McRae, Alice A.; Parks, Dee; Telle, Jan Arne 1 2004 Defending the Roman Empire—a new strategy. Zbl 1024.05068Henning, Michael A.; Hedetniemi, Stephen T. 66 2003 Global defensive alliances in graphs. Zbl 1031.05096Haynes, Teresa W.; Hedetniemi, Stephen T.; Henning, Michael A. 45 2003 Total domination subdivision numbers. Zbl 1020.05048Haynes, Teresa W.; Hedetniemi, Stephen T.; van der Merwe, Lucas C. 20 2003 A note on defensive alliances in graphs. Zbl 1050.05096Fricke, Gerd H.; Lawson, Linda M.; Haynes, Teresa W.; Hedetniemi, Sandra M.; Hedetniemi, Stephen T. 19 2003 Self-stabilizing algorithms for minimal dominating sets and maximal independent sets. Zbl 1043.05089Hedetniemi, S. M.; Hedetniemi, S. T.; Jacobs, D. P.; Srimani, P. K. 13 2003 Linear time self-stabilizing colorings. Zbl 1161.68340Hedetniemi, Stephen T.; Jacobs, David P.; Srimani, Pradip K. 12 2003 On the equality of the partial Grundy and upper ochromatic numbers of graphs. Zbl 1028.05031Erdős, Paul; Hedetniemi, Stephen T.; Laskar, Renu C.; Prins, Geert C. E. 9 2003 Self-stabilizing algorithms for \(\{k\}\)-domination. Zbl 1039.68522Gairing, Martin; Hedetniemi, Stephen T.; Kristiansen, Petter; McRae, Alice A. 7 2003 A synchronous self-stabilizing minimal domination protocol in an arbitrary network graph. Zbl 1205.68081Xu, Z.; Hedetniemi, S. T.; Goddard, W.; Srimani, P. K. 6 2003 \(H\)-forming sets in graphs. Zbl 1017.05082Haynes, Teresa W.; Hedetniemi, Stephen T.; Henning, Michael A.; Slater, Peter J. 4 2003 Self-stabilizing distributed algorithm for strong matching in a system graph. Zbl 1215.68270Goddard, Wayne; Hedetniemi, Stephen T.; Jacobs, David P.; Srimani, Pradip K. 3 2003 Domination in graphs applied to electric power networks. Zbl 1006.05043Haynes, Teresa W.; Hedetniemi, Sandra M.; Hedetniemi, Stephen T.; Henning, Michael A. 99 2002 Excellent trees. Zbl 0995.05036Fricke, Gerd H.; Haynes, Teresa W.; Hedetniemi, Sandra M.; Hedetniemi, Stephen T.; Laskar, Renu C. 8 2002 On \(k\)-dependent domination. Zbl 0994.05108Favaron, O.; Hedetniemi, S. M.; Hedetniemi, S. T.; Rall, D. F. 6 2002 Total irredundance in graphs. Zbl 1007.05074Favaron, Odile; Haynes, Teresa W.; Hedetniemi, Stephen T.; Henning, Michael A.; Knisley, Debra J. 4 2002 Domination subdivision numbers. Zbl 1006.05042Haynes, Teresa W.; Hedetniemi, Sandra M.; Hedetniemi, Stephen T.; Jacobs, David P.; Knisely, James; van der Merwe, Lucas C. 14 2001 Maximal matching stabilizes in time \(O(m)\). Zbl 1003.68004Hedetniemi, Stephen T.; Jacobs, David P.; Srimani, Pradip K. 11 2001 ...and 120 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 3,019 Authors 233 Henning, Michael Anthony 101 Volkmann, Lutz 90 Sheikholeslami, Seyed Mahmoud 78 Hedetniemi, Stephen Travis 71 Jafari Rad, Nader 70 Haynes, Teresa W. 57 Chellali, Mustapha 53 Rautenbach, Dieter 41 Kang, Liying 41 Shan, Erfang 40 Mynhardt, Christina Magdalena 35 Klavžar, Sandi 34 Cockayne, Ernest J. 31 Brešar, Boštjan 31 Chang, Gerard Jennhwa 31 Favaron, Odile 31 Yero, Ismael Gonzalez 30 Rodríguez-Velazquez, Juan Alberto 28 Zelinka, Bohdan 27 Mojdeh, Doost Ali 27 Yeo, Anders 26 Goddard, Wayne Dean 26 Shao, Zehui 25 Hattingh, Johannes H. 25 Rall, Douglas F. 23 Ahangar, Hossein Abdollahzadeh 21 Cabrera Martínez, Abel 21 Karami, Hossein 21 Kratsch, Dieter 21 Lemańska, Magdalena 21 Panda, Bhawani Sankar 21 Sigarreta Almira, José María 20 Amjadi, Jafar 20 Fernau, Henning 20 Venkatakrishnan, Yanamandram Balasubramanian 19 Hedetniemi, Sandra Lee Mitchell 19 Klostermeyer, William F. 19 McRae, Alice A. 18 Khoeilar, Rana 18 Laskar, Renu Chakravarti 18 Slater, Peter James 17 Bermudo, Sergio 17 Chen, Xuegang 17 Desormeaux, Wyatt J. 17 Harutyunyan, Hovhannes A. 17 Liestman, Arthur L. 16 Joubert, Ernst J. 16 Krzywkowski, Marcin 15 Furuya, Michitaka 15 Hao, Guoliang 15 Raczek, Joanna 15 Sohn, Moo Young 15 Tuza, Zsolt 15 Xu, Junming 14 Golovach, Petr A. 14 Kheddouci, Hamamache 14 Löwenstein, Christian 14 Pelc, Andrzej 14 Pushpam, P. Roushini Leely 13 Alikhani, Saeid 13 Araujo-Pardo, Gabriela 13 Blidia, Mostafa 13 Bujtás, Csilla 13 Dettlaff, Magda 13 Galeana-Sánchez, Hortensia 13 Milanič, Martin 13 Southey, Justin 12 Arumugam, Subramanian 12 Canoy, Sergio Rosales jun. 12 Dehgardi, Nasrin 12 Dorbec, Paul 12 Pérennes, Stéphane 12 Peterin, Iztok 12 Topp, Jerzy 11 Bazgan, Cristina 11 Ferrero, Daniela 11 Gargano, Luisa 11 Levit, Vadim E. 11 Li, Xueliang 11 Li, Zepeng 11 Liedloff, Mathieu 11 Lu, Changhong 11 MacGillivray, Gary 11 Mora, Mercè 11 Proskurowski, Andrzej 11 Rubio-Montiel, Christian 10 Cheng, Tai-Chiu Edwin 10 Gupta, Purnima 10 Hernando, Carmen 10 Honkala, Iiro S. 10 Hu, Futao 10 Kuziak, Dorota 10 Nazari-Moghaddam, Sakineh 10 Tamizh Chelvam, Thirugnanam 10 Wu, Baoyindureng 10 Zhao, Yancai 9 Chaluvaraju, B. 9 Dutton, Ronald D. 9 Foucaud, Florent 9 Fraigniaud, Pierre ...and 2,919 more Authors all top 5 Cited in 245 Serials 538 Discrete Applied Mathematics 428 Discrete Mathematics 126 Graphs and Combinatorics 125 Theoretical Computer Science 117 Discrete Mathematics, Algorithms and Applications 112 Information Processing Letters 108 Journal of Combinatorial Optimization 91 Discussiones Mathematicae. 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Discrete Mathematics Letters 3 Journal of Algebraic Systems 2 Communications in Algebra 2 Linear and Multilinear Algebra 2 Mathematical Notes 2 Rocky Mountain Journal of Mathematics 2 Archiv der Mathematik ...and 145 more Serials all top 5 Cited in 31 Fields 2,723 Combinatorics (05-XX) 674 Computer science (68-XX) 241 Operations research, mathematical programming (90-XX) 103 Information and communication theory, circuits (94-XX) 71 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 17 Mathematical logic and foundations (03-XX) 16 Linear and multilinear algebra; matrix theory (15-XX) 14 Biology and other natural sciences (92-XX) 13 Order, lattices, ordered algebraic structures (06-XX) 13 Commutative algebra (13-XX) 13 Geometry (51-XX) 11 Probability theory and stochastic processes (60-XX) 9 Statistics (62-XX) 8 Number theory (11-XX) 8 Group theory and generalizations (20-XX) 7 Numerical analysis (65-XX) 6 Convex and discrete geometry (52-XX) 6 Manifolds and cell complexes (57-XX) 4 General and overarching topics; collections (00-XX) 3 History and biography (01-XX) 2 Measure and integration (28-XX) 2 Dynamical systems and ergodic theory (37-XX) 2 Algebraic topology (55-XX) 1 Topological groups, Lie groups (22-XX) 1 Real functions (26-XX) 1 Functions of a complex variable (30-XX) 1 Differential geometry (53-XX) 1 General topology (54-XX) 1 Quantum theory (81-XX) 1 Statistical mechanics, structure of matter (82-XX) 1 Systems theory; control (93-XX) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. 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