Edit Profile (opens in new tab) Slater, Peter James (b. 1946 d. 2016) Co-Author Distance Author ID: slater.peter-james Published as: Slater, Peter J.; Slater, P. J.; Slater, Peter; Slater, P.; Slater, Peter James more...less Further Spellings: Slater, Peter John Homepage: https://www.uah.edu/science/departments/math/faculty-staff/peter-slater External Links: MGP · dblp · GND Documents Indexed: 232 Publications since 1972, including 1 Book 2 Contributions as Editor · 1 Further Contribution Biographic References: 1 Publication Co-Authors: 107 Co-Authors with 174 Joint Publications 2,345 Co-Co-Authors all top 5 Co-Authors 61 single-authored 17 Haynes, Teresa W. 17 Hedetniemi, Stephen Travis 15 Seo, Suk Jai 13 Amin, Ashok T. 13 Henning, Michael Anthony 11 Bange, David W. 11 Barkauskas, Anthony E. 8 Siegrist, Kyle T. 6 Hedetniemi, Sandra Lee Mitchell 6 Sinko, Anne C. 5 Entringer, Roger Charles 5 Grinstead, Dana L. 5 Rubalcaba, Robert R. 4 Goddard, Wayne Dean 4 O’Neal, Allen 4 Phillips, James B. 4 Sewell, J. Louis 3 Chartrand, Gary Theodore 3 Erwin, David John 3 Goodman, Seymour E. 3 Hattingh, Johannes H. 3 Johnson, Terri Wilhite 3 Lampert, Douglas E. 3 Maurer, Stephen B. 3 Rall, Douglas F. 3 Schneider, Andrew 3 Smart, Chris B. 3 Zhang, Ping 2 Acharya, Belmannu Devadas 2 Barbosa, Rommel M. 2 Bascuñán, M. E. 2 Chan, Onn 2 Chellali, Mustapha 2 Chen, Chuan-Chong 2 Cockayne, Ernest J. 2 Dunbar, Jean E. 2 Harary, Frank 2 Host, Linda H. 2 Hulme, Bernie L. 2 McRae, Alice A. 2 Ragukumar, P. 2 Roden-Bowie, Miranda L. 2 Roden, Miranda L. 2 Sethuraman, G. 2 Simmons, Gustavus James 2 Trees, Eric L. 2 Vélez, William Yslas 2 Walsh, Matthew 1 Abhishek, Kumar 1 Arumugam, Subramanian 1 Brigham, Robert C. 1 Buckley, Fred 1 Caron, Richard M. 1 Chaiken, Seth 1 Chvátal, Václav 1 Cikanek, Dana Grinstead 1 Clark, Lane H. 1 Colbourn, Charles J. 1 Dankelmann, Peter 1 Dewdney, A. K. 1 Dow, Stephen J. 1 Favaron, Odile 1 Fisk, Steve 1 Foucaud, Florent 1 Germina, K. A. 1 Gibbs, Richard A. 1 Gibson, Peter M. 1 Godbold, Richard D. 1 Hernando, Carmen 1 Holmes, Nancy D. 1 Jackson, Douglas E. 1 Jafari Rad, Nader 1 Johnson, Peter D. jun. 1 Jordon, Heather 1 Klasing, Ralf 1 Koh, Khee Meng 1 Laskar, Renu Chakravarti 1 Lawler, Eugene L. 1 Lim, Bock Boom 1 Markus, Lisa R. 1 Marples, P. L. 1 Mashburn, J. L. 1 Meiers, Debra L. 1 Miller, Zevi 1 Mimouni, Malika 1 Mora, Mercè 1 Morgan, Christine A. 1 Oellermann, Ortrud R. 1 Peyrat, Claudine 1 Philips, James B. 1 Proffitt, Kenneth E. 1 Quintas, Louis V. 1 Raines, Michael E. 1 Schultz, Kelly 1 Schwenk, Allen J. 1 Selig, W. J. 1 Sherwani, Naveed A. 1 Shiver, A. W. 1 Sterling, Christopher 1 Stewart, Lorna K. ...and 10 more Co-Authors all top 5 Serials 28 Congressus Numerantium 23 Discrete Mathematics 18 JCMCC. The Journal of Combinatorial Mathematics and Combinatorial Computing 12 Bulletin of the Institute of Combinatorics and its Applications 11 Networks 10 Ars Combinatoria 9 Journal of Graph Theory 7 AKCE International Journal of Graphs and Combinatorics 6 Journal of Combinatorial Theory. Series B 6 Utilitas Mathematica 5 The Australasian Journal of Combinatorics 4 Discrete Applied Mathematics 4 Discussiones Mathematicae. Graph Theory 3 Information Processing Letters 2 American Mathematical Monthly 2 The Fibonacci Quarterly 2 Journal of the Association for Computing Machinery 2 Pacific Journal of Mathematics 2 SIAM Journal on Algebraic and Discrete Methods 2 Journal of the Indonesian Mathematical Society 2 Journal of Research of the National Bureau of Standards 2 Pure and Applied Mathematics, Marcel Dekker 2 Electronic Journal of Graph Theory and Applications 1 Journal of the Franklin Institute 1 Journal of Mathematical and Physical Sciences 1 Journal of Research of the National Bureau of Standards 1 Linear and Multilinear Algebra 1 Canadian Mathematical Bulletin 1 IEEE Transactions on Circuits and Systems 1 Journal of Combinatorics, Information & System Sciences 1 Journal of Number Theory 1 Match 1 Nanta Mathematica 1 Operations Research 1 Proceedings of the American Mathematical Society 1 Quaestiones Mathematicae 1 Rivista di Matematica della Università di Parma. Serie IV 1 SIAM Journal on Computing 1 Studia Scientiarum Mathematicarum Hungarica 1 Southeast Asian Bulletin of Mathematics 1 Journal of Algorithms 1 Mathematical and Computer Modelling 1 SIAM Journal on Discrete Mathematics 1 Journal of Combinatorial Optimization 1 Probability in the Engineering and Informational Sciences 1 Bulletin of the Malaysian Mathematical Sciences Society. Second Series 1 Scientia. Series A: Mathematical Sciences. New Series 1 Mathematics in Computer Science 1 Mathematical Medley all top 5 Fields 222 Combinatorics (05-XX) 26 Computer science (68-XX) 25 Operations research, mathematical programming (90-XX) 7 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 6 Information and communication theory, circuits (94-XX) 3 Number theory (11-XX) 2 General and overarching topics; collections (00-XX) 2 Order, lattices, ordered algebraic structures (06-XX) 1 History and biography (01-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Probability theory and stochastic processes (60-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 178 Publications have been cited 4,944 times in 3,072 Documents Cited by ▼ Year ▼ Fundamentals of domination in graphs. Zbl 0890.05002 Haynes, Teresa W.; Hedetniemi, Stephen T.; Slater, Peter J. 1,724 1998 Domination in graphs. Advanced topics. Zbl 0883.00011 727 1998 Leaves of trees. Zbl 0316.05102 Slater, Peter J. 219 1975 Dominating and reference sets in a graph. Zbl 0656.05057 Slater, Peter J. 164 1988 Paired-domination in graphs. Zbl 0997.05074 Haynes, Teresa W.; Slater, Peter J. 121 1998 Domination and location in acyclic graphs. Zbl 0643.90089 Slater, Peter J. 94 1987 Efficient dominating sets in graphs. Zbl 0664.05027 Bange, D. W.; Barkauskas, A. E.; Slater, P. J. 79 1988 Signed domination in graphs. Zbl 0842.05051 Dunbar, Jean; Hedetniemi, Stephen; Henning, Michael A.; Slater, Peter J. 71 1995 R-domination in graphs. Zbl 0349.05120 Slater, Peter J. 58 1976 Information dissemination in trees. Zbl 0468.68064 Slater, P. J.; Cockayne, E. J.; Hedetniemi, S. T. 54 1981 Fault-tolerant locating-dominating sets. Zbl 1001.05090 Slater, Peter J. 52 2002 Locating dominating sets in series parallel networks. Zbl 0646.05065 Colbourn, C. J.; Slater, P. J.; Stewart, L. K. 51 1987 Paired-domination and the paired-domatic number. Zbl 0904.05052 Haynes, Teresa W.; Slater, Peter J. 50 1995 Centers to centroids in graphs. Zbl 0425.05021 Slater, Peter J. 47 1978 A note on well-covered graphs. Zbl 0801.68119 Chvátal, Václav; Slater, Peter J. 42 1993 Inequalities relating domination parameters in cubic graphs. Zbl 0858.05058 Henning, Michael A.; Slater, Peter J. 41 1996 A linear algorithm for a core of a tree. Zbl 0454.68067 Morgan, Christine A.; Slater, Peter J. 40 1980 Open neighborhood locating-dominating sets. Zbl 1196.05067 Seo, Suk J.; Slater, Peter J. 38 2010 Efficient edge domination problems in graphs. Zbl 0797.05076 Grinstead, Dana L.; Slater, Peter J.; Sherwani, Naveed A.; Holmes, Nancy D. 36 1993 The complementary product of two graphs. Zbl 1155.05051 Haynes, Teresa W.; Henning, Michael A.; Slater, Peter J.; van der Merwe, Lucas C. 33 2007 Locating dominating sets and locating-dominating sets. Zbl 0846.05047 Slater, Peter J. 33 1995 Differentials in graphs. Zbl 1103.05087 Mashburn, J. L.; Haynes, T. W.; Hedetniemi, S. M.; Hedetniemi, S. T.; Slater, P. J. 32 2006 Fault-tolerant metric dimension of graphs. Zbl 1170.05306 Hernando, Carmen; Mora, Merce; Slater, Peter J.; Wood, David R. 31 2008 Line graphs of triangleless graphs and iterated clique graphs. Zbl 0255.05121 Hedetniemi, S. T.; Slater, P. J. 28 1972 A classification of 4-connected graphs. Zbl 0298.05136 Slater, Peter J. 28 1974 Generalized domination and efficient domination in graphs. Zbl 0860.05044 Bange, D. W.; Barkauskas, A. E.; Host, L. H.; Slater, P. J. 28 1996 Open neighborhood locating-dominating in trees. Zbl 1209.05053 Seo, Suk J.; Slater, Peter J. 24 2011 The locating-chromatic number of a graph. Zbl 1009.05056 Chartrand, Gary; Erwin, David; Henning, Michael A.; Slater, Peter J.; Zhang, Ping 22 2002 Medians of arbitrary graphs. Zbl 0446.05029 Slater, Peter J. 22 1980 Fractional domination and fractional packing in graphs. Zbl 0691.05043 Grinstead, D. L.; Slater, P. J. 21 1990 Maximin facility location. Zbl 0327.05105 Slater, Peter J. 21 1976 On graphs containing a given graph as center. Zbl 0449.05056 Buckley, Fred; Miller, Zevi; Slater, Peter J. 21 1981 The algorithmic complexity of signed domination in graphs. Zbl 0835.68089 Hattingh, Johannes H.; Henning, Michael A.; Slater, Peter J. 20 1995 A note on packing two trees into \(K_ n\). Zbl 0491.05050 Hedetniemi, S. M.; Hedetniemi, S. T.; Slater, P. J. 19 1981 Liar’s domination in graphs. Zbl 1211.05123 Roden, Miranda L.; Slater, Peter J. 19 2009 Paired-domination in grid graphs. Zbl 0988.05067 Proffitt, Kenneth E.; Haynes, Teresa W.; Slater, Peter J. 19 2001 On location-domination numbers for certain classes of graphs. Zbl 0568.05033 Rall, Douglas F.; Slater, Peter J. 18 1984 Open packing in graphs. Zbl 0922.05040 Henning, Michael A.; Slater, Peter J. 18 1999 Enclaveless sets and MK-systems. Zbl 0421.05053 Slater, Peter J. 17 1977 Liar’s domination. Zbl 1204.90061 Slater, Peter J. 17 2009 All parity realizable trees. Zbl 0845.05029 Amin, A. T.; Slater, P. J. 16 1996 Packing a tree with a graph of the same size. Zbl 0574.05018 Slater, P. J.; Teo, S. K.; Yap, H. P. 16 1985 On k-critical, n-connected graphs. Zbl 0375.05031 Maurer, Stephen; Slater, Peter J. 16 1978 Disjoint dominating sets in graphs. Zbl 1171.05038 Hedetniemi, Sandra M.; Hedetniemi, Stephen T.; Laskar, Renu C.; Markus, Lisa; Slater, Peter J. 15 2008 Gossips and telegraphs. Zbl 0408.05051 Entringer, Roger C.; Slater, Peter J. 15 1979 Matchings and transversals in hypergraphs, domination and independence in trees. Zbl 0414.05036 Cockayne, E. J.; Hedetniemi, S. T.; Slater, P. J. 15 1979 Distance and connectivity measures in permutation graphs. Zbl 1022.05024 Goddard, Wayne; Raines, Michael E.; Slater, Peter J. 15 2003 Geodetic connectivity of graphs. Zbl 0344.05137 Entringer, Roger C.; Jackson, Douglas E.; Slater, Peter J. 14 1977 All cycles are edge-magic. Zbl 0892.05042 Godbold, Richard D.; Slater, Peter J. 14 1998 Few compare to the great Roman Empire. Zbl 1293.05263 Hedetniemi, Stephen T.; Rubalcaba, Robert R.; Slater, Peter J.; Walsh, Matt 14 2013 Counterexamples to Randic’s conjecture on distance degree sequences for trees. Zbl 0484.05031 Slater, Peter J. 13 1982 On k-graceful graphs. Zbl 0519.05057 Slater, Peter J. 13 1982 A Boolean algebraic analysis of fire protection. Zbl 0551.90052 Hulme, B. L.; Shiver, A. W.; Slater, P. J. 13 1984 Neighborhood domination with parity restrictions in graphs. Zbl 0798.68135 Amin, A. T.; Slater, P. J. 13 1992 Graphs of order \(n\) with locating-chromatic number \(n-1\). Zbl 1020.05026 Chartrand, Gary; Erwin, David; Henning, Michael A.; Slater, Peter J.; Zhang, Ping 13 2003 Parity dimension for graphs. Zbl 0957.05058 Amin, Ashok T.; Clark, Lane H.; Slater, Peter J. 12 1998 On the maximum number of cycles in a graph. Zbl 0469.05043 Entringer, R. C.; Slater, P. J. 12 1981 On locating a facility to service areas within a network. Zbl 0455.90028 Slater, Peter J. 12 1981 On k-sequential and other numbered graphs. Zbl 0461.05053 Slater, Peter J. 12 1981 Uniqueness of vertex magic constants. Zbl 1272.05174 O’Neal, Allen; Slater, Peter J. 12 2013 An optimal diagonal tree code. Zbl 0512.05023 Chaiken, S.; Dewdney, A. K.; Slater, P. J. 11 1983 Center, median, and centroid subgraphs. Zbl 0946.05038 Smart, Christian; Slater, Peter J. 11 1999 Complexity results for closed neighborhood order parameters. Zbl 0895.05060 Smart, Chris B.; Slater, Peter J. 11 1995 Strong equality of domination parameters in trees. Zbl 1020.05051 Haynes, Teresa W.; Henning, Michael A.; Slater, Peter J. 11 2003 Advances on the Hamiltonian completion problem. Zbl 0307.05123 Goodman, S. E.; Hedetniemi, S. T.; Slater, P. J. 11 1975 Roman dominating influence parameters. Zbl 1127.05075 Rubalcaba, Robert R.; Slater, Peter J. 10 2007 On open neighborhood locating-dominating in graphs. Zbl 1306.05178 Chellali, Mustapha; Jafari Rad, Nader; Seo, Suk Jai; Slater, Peter James 10 2014 On k-minimally n-edge-connected graphs. Zbl 0397.05033 Maurer, Stephen B.; Slater, Peter J. 9 1978 The acquisition number of a graph. Zbl 0904.05053 Lampert, D. E.; Slater, P. J. 8 1995 Multi-fractional domination. Zbl 0995.05114 Slater, Peter J.; Trees, Eric L. 8 2002 On the optional Hamiltonian completion problem. Zbl 0323.05121 Slater, P. J.; Goodman, S. E.; Hedetniemi, S. T. 8 1976 On iterated clique graphs with increasing diameters. Zbl 0596.05036 Peyrat, C.; Rall, D. F.; Slater, P. J. 8 1986 A recurrence template for several parameters in series-parallel graphs. Zbl 0812.68099 Grinstead, Dana L.; Slater, Peter J. 8 1994 Graph competition independence and enclaveless parameters. Zbl 1021.05078 Phillips, James B.; Slater, Peter J. 8 2002 Centroidal bases in graphs. Zbl 1386.05046 Foucaud, Florent; Klasing, Ralf; Slater, Peter J. 7 2014 Centrality of paths and vertices in a graph: cores and pits. Zbl 0469.05058 Slater, P. J. 7 1981 Parity dimension for graphs—a linear algebraic approach. Zbl 1023.05095 Amin, Ashok T.; Slater, Peter J.; Zhang, Guo-Hui 7 2002 Efficient open domination in graphs. Zbl 1110.05077 Gavlas, Heather; Schultz, Kelly; Slater, Peter 7 2003 An introduction to distance \(D\) magic graphs. Zbl 1288.05227 O’Neal, Allen; Slater, Peter J. 7 2011 Pair-connected reliability of a tree and its distance degree sequences. Zbl 0653.05025 Amin, A. T.; Siegrist, K. T.; Slater, P. J. 6 1987 Exact formulas for reliability measures for various classes of graphs. Zbl 0667.05050 Amin, A. T.; Siegrist, K. T.; Slater, P. J. 6 1987 Some results on acquisition numbers. Zbl 1163.05031 Slater, Peter J. 6 2008 Sequentially additive graphs. Zbl 0508.05057 Bange, D. W.; Barkauskas, A. E.; Slater, P. J. 6 1983 The connected hub number and the connected domination number. Zbl 1233.05126 Johnson, Peter; Slater, Peter; Walsh, Matt 6 2011 Parallel knockouts in the complete graph. Zbl 0974.05079 Lampert, Douglas E.; Slater, Peter J. 6 1998 A note on k-critically n-connected graphs. Zbl 0341.05120 Entringer, R. C.; Slater, Peter J. 6 1977 The k-nucleus of a graph. Zbl 0459.94035 Slater, Peter J. 6 1981 Efficient \((j,k)\)-domination. Zbl 1142.05062 Rubalcaba, Robert R.; Slater, Peter J. 5 2007 Permutations of the positive integers with restrictions on the sequence of differences. Zbl 0333.05002 Slater, Peter J.; Vélez, William Yslas 5 1977 Liars’ domination and the domination continuum. Zbl 1181.05073 Roden, Miranda L.; Slater, Peter J. 5 2008 The competitive-acquisition numbers of paths. Zbl 1108.91017 Slater, Peter J.; Wang, Yan 5 2004 On minimum dominating sets with minimum intersection. Zbl 0745.05057 Grinstead, Dana L.; Slater, Peter J. 5 1990 On the nonexistence of uniformly optimal graphs for pair-connected reliability. Zbl 0736.90034 Amin, A. T.; Siegrist, K. T.; Slater, P. J. 5 1991 Path coverings of the vertices of a tree. Zbl 0391.05020 Slater, Peter J. 5 1979 A characterization of soft hypergraphs. Zbl 0391.05042 Slater, Peter J. 5 1978 Conservative graphs. Zbl 0401.05066 Bange, David W.; Barkauskas, Anthony E.; Slater, Peter J. 5 1980 Generating all permutations by graphical transpositions. Zbl 0405.05001 Slater, Peter J. 5 1978 A theorem on critically 3-connected graphs. Zbl 0406.05043 Entringer, R. C.; Slater, P. J. 5 1978 Simply sequential and graceful graphs. Zbl 0427.05056 Bange, D. W.; Barkauskas, A. E.; Slater, Peter J. 5 1979 A linear algorithm for the cutting center of a tree. Zbl 0624.68058 Harary, Frank; Slater, Peter J. 5 1986 Generalized set dominating and separating systems. Zbl 1390.05176 Seo, Suk J.; Slater, Peter J. 4 2018 Independent locating-dominating sets and identifying codes in graphs. Zbl 1390.05178 Slater, Peter J.; Sewell, J. Louis 4 2018 Open-independent, open-locating-dominating sets. Zbl 1470.05130 Seo, Suk J.; Slater, Peter J. 5 2017 On the efficiency index of a graph. Zbl 1344.90060 Barbosa, Rommel; Slater, Peter 2 2016 Embedding an arbitrary tree in a graceful tree. Zbl 1339.05263 Sethuraman, G.; Ragukumar, P.; Slater, Peter J. 1 2016 Fault tolerant detectors for distinguishing sets in graphs. Zbl 1327.05266 Seo, Suk J.; Slater, Peter J. 5 2015 On open neighborhood locating-dominating in graphs. Zbl 1306.05178 Chellali, Mustapha; Jafari Rad, Nader; Seo, Suk Jai; Slater, Peter James 10 2014 Centroidal bases in graphs. Zbl 1386.05046 Foucaud, Florent; Klasing, Ralf; Slater, Peter J. 7 2014 A sharp lower bound for locating-dominating sets in trees. Zbl 1305.05180 Sewell, J. Louis; Slater, Peter J. 5 2014 OLD trees with maximum degree three. Zbl 1300.05234 Seo, Suk J.; Slater, Peter J. 3 2014 Few compare to the great Roman Empire. Zbl 1293.05263 Hedetniemi, Stephen T.; Rubalcaba, Robert R.; Slater, Peter J.; Walsh, Matt 14 2013 Uniqueness of vertex magic constants. Zbl 1272.05174 O’Neal, Allen; Slater, Peter J. 12 2013 Open locating-dominating interpolation for trees. Zbl 1293.05273 Seo, Suk J.; Slater, Peter J. 3 2013 Some new results on set-graceful and set-sequential graphs. Zbl 1301.05156 Acharya, B. D.; Germina, K. A.; Abhishek, Kumar; Slater, P. J. 4 2012 Open neighborhood locating-domination for grid-like graphs. Zbl 1278.05177 Seo, Suk J.; Slater, Peter J. 4 2012 Graphical parameters for classes of tumbling block graphs. Zbl 1278.05178 Seo, Suk J.; Slater, Peter J. 3 2012 Liar’s domination in ladders. Zbl 1278.05180 Sterling, Christopher; Haynes, Teresa W.; Slater, Peter J. 2 2012 On efficient dominating sets in simplicial graphs. Zbl 1252.05159 Barbosa, Rommel; Slater, Peter 1 2012 Open neighborhood locating-dominating in trees. Zbl 1209.05053 Seo, Suk J.; Slater, Peter J. 24 2011 An introduction to distance \(D\) magic graphs. Zbl 1288.05227 O’Neal, Allen; Slater, Peter J. 7 2011 The connected hub number and the connected domination number. Zbl 1233.05126 Johnson, Peter; Slater, Peter; Walsh, Matt 6 2011 The graph distance game. Zbl 1238.05174 Goddard, Wayne; Sinko, Anne; Slater, Peter; Xu, Honghai 1 2011 The minimax, maximin, and spread values for open neighborhood sums for 2-regular graphs. Zbl 1247.05211 O’Neal, Allen; Slater, Peter J. 1 2011 An introduction to closed/open neighborhood sums: minimax, maximin, and spread. Zbl 1254.05176 O’Neal, Allen; Slater, Peter J. 1 2011 How provably graceful are the trees? Zbl 1288.05233 Slater, Peter J. 1 2011 Open neighborhood locating-dominating sets. Zbl 1196.05067 Seo, Suk J.; Slater, Peter J. 38 2010 On locating-domination in graphs. Zbl 1214.05104 Chellali, Mustapha; Mimouni, Malika; Slater, Peter J. 3 2010 Liar’s domination in graphs. Zbl 1211.05123 Roden, Miranda L.; Slater, Peter J. 19 2009 Liar’s domination. Zbl 1204.90061 Slater, Peter J. 17 2009 Minimax open and closed neighborhood sums. Zbl 1210.05153 Schneider, Andrew; Slater, Peter J. 2 2009 Set-sized \((1,3)\)-domination for trees. Zbl 1211.05124 Roden-Bowie, Miranda L.; Slater, Peter J. 1 2009 Fault-tolerant metric dimension of graphs. Zbl 1170.05306 Hernando, Carmen; Mora, Merce; Slater, Peter J.; Wood, David R. 31 2008 Disjoint dominating sets in graphs. Zbl 1171.05038 Hedetniemi, Sandra M.; Hedetniemi, Stephen T.; Laskar, Renu C.; Markus, Lisa; Slater, Peter J. 15 2008 Some results on acquisition numbers. Zbl 1163.05031 Slater, Peter J. 6 2008 Liars’ domination and the domination continuum. Zbl 1181.05073 Roden, Miranda L.; Slater, Peter J. 5 2008 Irredundant colorings of graphs. Zbl 1181.05041 Haynes, Teresa W.; Hedetniemi, Sandra M.; Hedetniemi, Stephen T.; McRae, Alice A.; Slater, Peter J. 2 2008 Queen’s domination using border squares and \((A,B)\)-restricted domination. Zbl 1159.05042 Sinko, Anne; Slater, Peter J. 2 2008 The complementary product of two graphs. Zbl 1155.05051 Haynes, Teresa W.; Henning, Michael A.; Slater, Peter J.; van der Merwe, Lucas C. 33 2007 Roman dominating influence parameters. Zbl 1127.05075 Rubalcaba, Robert R.; Slater, Peter J. 10 2007 Efficient \((j,k)\)-domination. Zbl 1142.05062 Rubalcaba, Robert R.; Slater, Peter J. 5 2007 Competition parameters of a graph. Zbl 1135.05055 Seo, Suk J.; Slater, Peter J. 4 2007 A note on obtaining \(k\) dominating sets from a \(k\)-dominating function on a tree. Zbl 1139.05046 Rubalcaba, Robert R.; Slater, Peter J. 2 2007 Minimax neighborhood sums. Zbl 1141.05072 Schneider, Andrew; Slater, Peter J. 2 2007 Differentials in graphs. Zbl 1103.05087 Mashburn, J. L.; Haynes, T. W.; Hedetniemi, S. M.; Hedetniemi, S. T.; Slater, P. J. 32 2006 A survey on graphs which have equal domination and closed neighbourhood packing numbers. Zbl 1121.05088 Rubalcaba, Robert R.; Schneider, Andrew; Slater, Peter J. 4 2006 Efficient domination in knights graphs. Zbl 1120.05066 Sinko, Anne; Slater, Peter J. 2 2006 Trees with equal domination and paired-domination numbers. Zbl 1164.05420 Haynes, Teresa W.; Henning, Michael A.; Slater, Peter J. 4 2005 An introduction to influence parameters for chessboard graphs. Zbl 1123.05069 Sinko, Anne; Slater, Peter J. 2 2005 The competitive-acquisition numbers of paths. Zbl 1108.91017 Slater, Peter J.; Wang, Yan 5 2004 Distance and connectivity measures in permutation graphs. Zbl 1022.05024 Goddard, Wayne; Raines, Michael E.; Slater, Peter J. 15 2003 Graphs of order \(n\) with locating-chromatic number \(n-1\). Zbl 1020.05026 Chartrand, Gary; Erwin, David; Henning, Michael A.; Slater, Peter J.; Zhang, Ping 13 2003 Strong equality of domination parameters in trees. Zbl 1020.05051 Haynes, Teresa W.; Henning, Michael A.; Slater, Peter J. 11 2003 Efficient open domination in graphs. Zbl 1110.05077 Gavlas, Heather; Schultz, Kelly; Slater, Peter 7 2003 \(H\)-forming sets in graphs. Zbl 1017.05082 Haynes, Teresa W.; Hedetniemi, Stephen T.; Henning, Michael A.; Slater, Peter J. 4 2003 Distance-location numbers of graphs. Zbl 1035.05035 Chartrand, Gary; Erwin, David; Slater, Peter J.; Zhang, Ping 1 2003 Fault-tolerant locating-dominating sets. Zbl 1001.05090 Slater, Peter J. 52 2002 The locating-chromatic number of a graph. Zbl 1009.05056 Chartrand, Gary; Erwin, David; Henning, Michael A.; Slater, Peter J.; Zhang, Ping 22 2002 Multi-fractional domination. Zbl 0995.05114 Slater, Peter J.; Trees, Eric L. 8 2002 Graph competition independence and enclaveless parameters. Zbl 1021.05078 Phillips, James B.; Slater, Peter J. 8 2002 Parity dimension for graphs—a linear algebraic approach. Zbl 1023.05095 Amin, Ashok T.; Slater, Peter J.; Zhang, Guo-Hui 7 2002 Paired-domination in grid graphs. Zbl 0988.05067 Proffitt, Kenneth E.; Haynes, Teresa W.; Slater, Peter J. 19 2001 Average distance in colored graphs. Zbl 0991.05038 Dankelmann, Peter; Goddard, Wayne; Slater, Peter 4 2001 Strong equality of upper domination and independence in trees. Zbl 0980.05038 Haynes, Teresa W.; Henning, Michael A.; Slater, Peter J. 2 2001 Bounds on the total redundance and efficiency of a graph. Zbl 0993.05103 Goddard, Wayne; Oellermann, Ortrud R.; Slater, Peter J.; Swart, Henda C. 3 2000 Distance-\(k\) independent domination sequences. Zbl 0959.05087 Favaron, Odile; Haynes, Teresa W.; Slater, Peter J. 2 2000 A generalization of domination critical graphs. Zbl 0964.05048 Phillips, James B.; Haynes, Teresa W.; Slater, Peter J. 2 2000 Open packing in graphs. Zbl 0922.05040 Henning, Michael A.; Slater, Peter J. 18 1999 Center, median, and centroid subgraphs. Zbl 0946.05038 Smart, Christian; Slater, Peter J. 11 1999 A survey of sequences of central subgraphs. Zbl 0968.05029 Slater, Peter J. 4 1999 The Hedetniemi number of a graph. Zbl 0960.05077 Slater, Peter J. 3 1999 Fundamentals of domination in graphs. Zbl 0890.05002 Haynes, Teresa W.; Hedetniemi, Stephen T.; Slater, Peter J. 1,724 1998 Domination in graphs. Advanced topics. Zbl 0883.00011 727 1998 Paired-domination in graphs. Zbl 0997.05074 Haynes, Teresa W.; Slater, Peter J. 121 1998 All cycles are edge-magic. Zbl 0892.05042 Godbold, Richard D.; Slater, Peter J. 14 1998 Parity dimension for graphs. Zbl 0957.05058 Amin, Ashok T.; Clark, Lane H.; Slater, Peter J. 12 1998 Parallel knockouts in the complete graph. Zbl 0974.05079 Lampert, Douglas E.; Slater, Peter J. 6 1998 LP-duality, complementarity, and generality of graphical subset parameters. Zbl 0891.05046 Slater, Peter J. 3 1998 Efficient and excess domination in graphs. Zbl 0903.05032 Harary, Frank; Haynes, Teresa W.; Slater, Peter J. 1 1998 Inequalities relating domination parameters in cubic graphs. Zbl 0858.05058 Henning, Michael A.; Slater, Peter J. 41 1996 Generalized domination and efficient domination in graphs. Zbl 0860.05044 Bange, D. W.; Barkauskas, A. E.; Host, L. H.; Slater, P. J. 28 1996 All parity realizable trees. Zbl 0845.05029 Amin, A. T.; Slater, P. J. 16 1996 Interior parameters in \(\text{ir}\leq \gamma \leq i\leq \dots \leq \beta \leq \Gamma\leq\)IR. Zbl 0896.05036 Lampert, D. E.; Slater, P. J. 1 1996 Signed domination in graphs. Zbl 0842.05051 Dunbar, Jean; Hedetniemi, Stephen; Henning, Michael A.; Slater, Peter J. 71 1995 Paired-domination and the paired-domatic number. Zbl 0904.05052 Haynes, Teresa W.; Slater, Peter J. 50 1995 Locating dominating sets and locating-dominating sets. Zbl 0846.05047 Slater, Peter J. 33 1995 The algorithmic complexity of signed domination in graphs. Zbl 0835.68089 Hattingh, Johannes H.; Henning, Michael A.; Slater, Peter J. 20 1995 Complexity results for closed neighborhood order parameters. Zbl 0895.05060 Smart, Chris B.; Slater, Peter J. 11 1995 The acquisition number of a graph. Zbl 0904.05053 Lampert, D. E.; Slater, P. J. 8 1995 On the additive bandwidth of graphs. Zbl 0833.05066 Bascuñán, M. E.; Ruiz, S.; Brigham, R. C.; Caron, R. M.; Slater, P. J.; Vitray, R. P. 1 1995 A recurrence template for several parameters in series-parallel graphs. Zbl 0812.68099 Grinstead, Dana L.; Slater, Peter J. 8 1994 Three-valued \(k\)-neighborhood domination in graphs. Zbl 0819.05023 Hattingh, Johannes H.; Henning, Michael A.; Slater, Peter J. 2 1994 A note on well-covered graphs. Zbl 0801.68119 Chvátal, Václav; Slater, Peter J. 42 1993 Efficient edge domination problems in graphs. Zbl 0797.05076 Grinstead, Dana L.; Slater, Peter J.; Sherwani, Naveed A.; Holmes, Nancy D. 36 1993 The expected number of pairs of connected nodes: Pair-connected reliability. Zbl 0800.68631 Amin, A. T.; Siegrist, K. T.; Slater, P. J. 4 1993 The optimal unicyclic graphs for pair-connected reliability. Zbl 0773.05093 Siegrist, Kyle T.; Amin, Ashok T.; Slater, Peter J. 3 1993 On uniformly optimally reliable graphs for pair-connected reliability with vertex failures. Zbl 0780.90044 Amin, A. T.; Siegrist, K. T.; Slater, P. J. 2 1993 Maximum matching among minimum dominating sets. Zbl 0841.05051 Slater, Peter J. 1 1993 Maximum independent, minimally redundant sets in series-parallel graphs. Zbl 0794.05124 Johnson, T. W.; Slater, P. J. 1 1993 Neighborhood domination with parity restrictions in graphs. Zbl 0798.68135 Amin, A. T.; Slater, P. J. 13 1992 The additive bandwidth of grids and complete bipartite graphs. Zbl 0790.05072 Bascuñán, M. E.; Ruiz, S.; Slater, P. J. 1 1992 ...and 78 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 3,204 Authors 224 Henning, Michael Anthony 102 Volkmann, Lutz 77 Jafari Rad, Nader 67 Sheikholeslami, Seyed Mahmoud 63 Haynes, Teresa W. 45 Chellali, Mustapha 45 Yero, Ismael Gonzalez 44 Rautenbach, Dieter 44 Shan, Erfang 44 Slater, Peter James 43 Hedetniemi, Stephen Travis 39 Kang, Liying 38 Rodríguez-Velazquez, Juan Alberto 34 Mojdeh, Doost Ali 30 Klavžar, Sandi 29 Mynhardt, Christina Magdalena 27 Yeo, Anders 26 Cabrera Martínez, Abel 25 Panda, Bhawani Sankar 24 Amjadi, Jafar 22 Chang, Gerard Jennhwa 22 Foucaud, Florent 21 Goddard, Wayne Dean 21 Hattingh, Johannes H. 19 Laihonen, Tero K. 19 Lemańska, Magdalena 19 Milanič, Martin 19 Mora, Mercè 19 Pradhan, Dinabandhu 19 Shao, Zehui 18 Alikhani, Saeid 18 Favaron, Odile 18 Pandey, Arti 17 Brandstädt, Andreas 17 Brešar, Boštjan 17 Fernau, Henning 17 Kratsch, Dieter 17 Kuziak, Dorota 17 Löwenstein, Christian 17 Lu, Changhong 16 Chen, Xuegang 16 Desormeaux, Wyatt J. 16 Sohn, Moo Young 16 Venkatakrishnan, Yanamandram Balasubramanian 16 Yi, Eunjeong 15 Ahangar, Hossein Abdollahzadeh 15 Bermudo, Sergio 15 Hernando, Carmen 15 Junnila, Ville 15 Krzywkowski, Marcin 15 Parreau, Aline 15 Raczek, Joanna 15 Xu, Junming 14 Arumugam, Subramanian 14 Bujtás, Csilla 14 Dettlaff, Magda 14 Gupta, Purnima 14 Hao, Guoliang 14 Klostermeyer, William F. 14 Samadi, Babak 14 Samodivkin, Vladimir D. 14 Southey, Justin 13 Cockayne, Ernest J. 13 Estrada-Moreno, Alejandro 13 Furuya, Michitaka 13 Joubert, Ernst J. 13 Lobstein, Antoine-Christophe 13 Oellermann, Ortrud R. 13 Paul, Subhabrata 13 Rall, Douglas F. 12 Balbuena, Camino 12 Bhat, Vijay Kumar 12 Chartrand, Gary Theodore 12 Galeana-Sánchez, Hortensia 12 Golovach, Petr A. 12 Hansberg, Adriana 12 Honkala, Iiro S. 12 Hudry, Olivier 12 Imran, Muhammad 12 McRae, Alice A. 12 Peterin, Iztok 12 Puertas, María Luz 12 Puerto Albandoz, Justo 12 Tamizh Chelvam, Thirugnanam 11 Chaluvaraju, B. 11 Dankelmann, Peter 11 Kazemi, Adel P. 11 Levit, Vadim E. 11 Pelayo, Ignacio M. 11 Scozzari, Andrea 11 Sigarreta Almira, José María 11 Tankus, David 11 Tuza, Zsolt 11 Vaidya, Samir K. 11 Zhao, Yancai 10 Cardoso, Domingos Moreira 10 Dehgardi, Nasrin 10 Hedetniemi, Sandra Lee Mitchell 10 Lozin, Vadim Vladislavovich 10 Mosca, Raffaele ...and 3,104 more Authors all top 5 Cited in 282 Serials 449 Discrete Applied Mathematics 357 Discrete Mathematics 142 Discrete Mathematics, Algorithms and Applications 115 Theoretical Computer Science 111 Graphs and Combinatorics 102 Journal of Combinatorial Optimization 99 Discussiones Mathematicae. 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