Edit Profile (opens in new tab) Johnson, Peter D. jun. Compute Distance To: Compute Author ID: johnson.peter-d-jun Published as: Johnson, P. D. jun.; Johnson, Peter; Johnson, Peter D. jun.; Johnson, P. D.; Johnson, Peter D.; Johnson, P. Documents Indexed: 190 Publications since 1975, including 2 Books 4 Further Contributions Co-Authors: 89 Co-Authors with 120 Joint Publications 1,659 Co-Co-Authors all top 5 Co-Authors 25 single-authored 20 Hoffman, Dean G. 16 Hilton, Anthony J. W. 13 Mohapatra, Ram Narayan 10 Walsh, Matthew 8 Roblee, Kenneth J. 6 Cropper, Mathew Maurice 6 Holliday, Sarah H. 6 Rubalcaba, Robert R. 6 Wantland, Evan B. 5 Matzke, Ryan W. 4 Bobga, Benedict Benkam 4 McDonald, Jessica 4 Soifer, Alexander 3 Anderson, Loren 3 Devilbiss, Matthew 3 Grünbaum, Branko 3 Guest, Kelly B. 3 Holliday, John E. 3 Lehel, Jeno 3 Noble, Matthew 3 Peskir, Goran 3 Rousseau, Cecil C. 3 Viola, Lorenza 2 Allagan, Julian A. D. 2 Barnett, Johnathan 2 Bau, Sheng 2 Blumenthal, Adam 2 Boghossian, Artin B. 2 Bragan, Kelly 2 Burkert, Jeffrey 2 Busawon, Krishna K. 2 Cuypers, Hans 2 Erdős, Pál 2 Foster, Michelle 2 Goldwasser, John L. 2 Greenwell, Don 2 Hankerson, Darrel R. 2 Harris, Greg A. 2 Jones, Cadavious 2 Leonard, Douglas A. 2 Owens, Andrew 2 Pasini, Antonio 2 Petrie, Caleb 2 Polat, Faruk 2 Prier, David R. 2 Rodger, Christopher Andrew 2 Shult, Ernest E. 2 Smotzer, T. D. 2 Szlam, Arthur D. 2 Ticozzi, Francesco 1 Abrams, Aaron 1 Aiken, A. Sophie 1 Allred, Sarah R. 1 Bailey, Brad 1 Barbot, Jean-Pierre 1 Benali, Julian 1 Beneish, Lea 1 Bennett, Katherine 1 Boese, Sarah 1 Bogacka, Barbara 1 Bohannon, A. W. 1 Bohannon, Aaron 1 Buhse, Chris 1 Carley, Holly K. 1 Chappell, Glenn G. 1 Chidume, Okechukwu 1 Clark, Sally A. 1 Cobb, Harris 1 Coolsaet, Kris 1 Dalal, Aseem 1 Daneshgar, Amir 1 De Mars, Derrick 1 Deering, Jessie 1 Dorough, Stephanie 1 Edwards, Christopher S. 1 Engel, Philip L. 1 Eslahchi, Changiz 1 Fain, Bradley 1 Frohardt, Daniel E. 1 Gaubatz, Nicholas 1 Gossell, James 1 Gouge, Adam 1 Greenwell, Donald L. 1 Griswold, LaShundra 1 Grone, Robert D. 1 Grünbau, Branko 1 Hammer, James M. 1 Harary, Frank 1 Holmes, Brent 1 Horn, Paul S. 1 Isaak, Garth T. 1 Jacobson, Michael Scott 1 Jamieson, William B. 1 Jamison, Robert E. 1 Jones, Byron 1 Jones, Edna 1 Karuvade, Salini 1 Kite, Anna 1 Kosara, Robert 1 Krumpelman, Alexis ...and 43 more Co-Authors all top 5 Serials 31 Congressus Numerantium 23 Geombinatorics 16 International Journal of Mathematics and Computer Science 9 Bulletin of the Institute of Combinatorics and its Applications 8 Discrete Mathematics 7 The Australasian Journal of Combinatorics 5 Journal of Mathematical Analysis and Applications 5 Ars Combinatoria 5 International Journal of Mathematics and Mathematical Sciences 4 AKCE International Journal of Graphs and Combinatorics 4 Theory and Applications of Graphs 3 Discrete Applied Mathematics 3 Journal of Graph Theory 3 Tamkang Journal of Mathematics 3 Utilitas Mathematica 3 European Journal of Combinatorics 2 Colloquium Mathematicum 2 Geometriae Dedicata 2 Mathematica Japonica 2 Graphs and Combinatorics 2 JCMCC. The Journal of Combinatorial Mathematics and Combinatorial Computing 2 Journal of Physics A: Mathematical and Theoretical 1 Communications in Algebra 1 Mathematical Proceedings of the Cambridge Philosophical Society 1 Mathematics Magazine 1 Annales Polonici Mathematici 1 Archiv der Mathematik 1 Canadian Journal of Mathematics 1 Canadian Mathematical Bulletin 1 Computer Languages 1 IEEE Transactions on Automatic Control 1 Journal of Geometry 1 Journal of Statistical Planning and Inference 1 Mathematika 1 Networks 1 Pacific Journal of Mathematics 1 Proceedings of the American Mathematical Society 1 Proceedings of the London Mathematical Society. Third Series 1 Transactions of the American Mathematical Society 1 Journal of Algorithms 1 Mathematical and Computer Modelling 1 The Annals of Applied Probability 1 Panamerican Mathematical Journal 1 Aequationes Mathematicae 1 Notices of the American Mathematical Society 1 Turkish Journal of Mathematics 1 Mathematical Inequalities & Applications 1 WSEAS Transactions on Mathematics 1 Operators and Matrices 1 Philosophical Transactions of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences 1 Discrete Mathematics and its Applications 1 CRC Press Series on Discrete Mathematics and its Applications all top 5 Fields 141 Combinatorics (05-XX) 13 Functional analysis (46-XX) 11 Geometry (51-XX) 10 Computer science (68-XX) 7 Number theory (11-XX) 7 Real functions (26-XX) 7 Information and communication theory, circuits (94-XX) 6 Linear and multilinear algebra; matrix theory (15-XX) 6 Probability theory and stochastic processes (60-XX) 5 Operator theory (47-XX) 4 Statistics (62-XX) 3 General and overarching topics; collections (00-XX) 3 Sequences, series, summability (40-XX) 3 Convex and discrete geometry (52-XX) 3 Quantum theory (81-XX) 2 Group theory and generalizations (20-XX) 2 Ordinary differential equations (34-XX) 2 Partial differential equations (35-XX) 2 Operations research, mathematical programming (90-XX) 2 Mathematics education (97-XX) 1 History and biography (01-XX) 1 Commutative algebra (13-XX) 1 Associative rings and algebras (16-XX) 1 Measure and integration (28-XX) 1 Special functions (33-XX) 1 Approximations and expansions (41-XX) 1 Integral equations (45-XX) 1 General topology (54-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 1 Biology and other natural sciences (92-XX) 1 Systems theory; control (93-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 102 Publications have been cited 365 times in 138 Documents Cited by ▼ Year ▼ The mathematical coloring book. Mathematics of coloring and the colorful life of its creators. Forewords by Branko Grünbaum, Peter D. Johnson jun., and Cecil Rousseau. Zbl 1221.05001Soifer, Alexander 89 2009 Quickest detection problems for Bessel processes. Zbl 1370.60135Johnson, Peter; Peskir, Goran 15 2017 Geometric hyperplanes in generalized hexagons of order (2,2). Zbl 0797.51008Frohardt, Daniel; Johnson, Peter 13 1994 Bounds for the operator norms of some Nörlund matrices. Zbl 0846.40007Johnson, P. D. jun.; Mohapatra, R. N.; Ross, David 11 1996 Relations among the fractional chromatic, choice, Hall, and Hall-condition numbers of simple graphs. Zbl 0991.05047Daneshgar, A.; Hilton, A. J. W.; Johnson, P. D. jun. 10 2001 The Hall number of a simple graph. Zbl 0897.05040Hilton, A. J. W.; Johnson, P. D. jun.; Wantland, E. B. 8 1996 Graphs which are vertex-critical with respect to the edge-chromatic number. Zbl 0631.05024Hilton, A. J. W.; Johnson, P. D. 8 1987 Sequential testing problems for Bessel processes. Zbl 1406.60061Johnson, Peter; Peskir, Goran 7 2018 Coloring abelian groups. Zbl 0485.05009Johnson, P. D. 7 1982 Greedy colorings and the Grundy chromatic number of the \(n\)-cube. Zbl 0937.05046Hoffman, D. G.; Johnson, P. D. jun. 6 1999 Functions that preserve unit distance. Zbl 0319.50005Greenwell, Donald; Johnson, Peter D. 6 1976 Completing partial Latin squares: Cropper’s question. Zbl 1228.05083Bobga, B. B.; Goldwasser, J. L.; Hilton, A. J. W.; Johnson, P. D. jun. 6 2011 Hall’s condition for multicolorings. Zbl 0904.05032Hilton, A. J. W.; Johnson, P. D. jun.; Leonard, D. A. 5 1997 Extending the disjoint-representatives theorems of Hall, Halmos, and Vaughan to list-multicolorings of graphs. Zbl 0944.05040Cropper, M. M.; Goldwasser, J. L.; Hilton, A. J. W.; Hoffman, D. G.; Johnson, P. D. jun. 5 2000 The Hall-condition number of a graph. Zbl 0809.05045Johnson, P. D. jun. 5 1994 On the embeddability of polar spaces. Zbl 0772.51007Cuypers, Hans; Johnson, Peter; Pasini, Antonio 5 1992 Density of finitely non-zero sequences in some sequence spaces. Zbl 0418.46005Johnson, P. D. jun.; Mohapatra, R. N. 5 1979 Two-colorings of a dense subgroup of \({\mathbb{Q}}^ n\) that forbid many distances. Zbl 0701.05005Johnson, Peter D. jun. 5 1990 Extending Hall’s theorem. Zbl 0731.05017Hilton, A. J. W.; Johnson, P. D. jun. 5 1990 The connected hub number and the connected domination number. Zbl 1233.05126Johnson, Peter; Slater, Peter; Walsh, Matt 5 2011 Local characterizations of polar spaces. Zbl 0662.51005Johnson, Peter; Shult, Ernest 4 1988 The Hall number, the Hall index, and the total Hall number of a graph. Zbl 0934.05001Hilton, A. J. W.; Johnson, P. D. jun. 4 1999 Integer and fractional security in graphs. Zbl 1246.05120Isaak, Garth; Johnson, Peter; Petrie, Caleb 4 2012 Graphs which are vertex-critical with respect to the edge-chromatic class. Zbl 0725.05041Hilton, A. J.; Johnson, P. D. 4 1989 Compatible additive permutations of finite integral bases. Zbl 0586.05001Johnson, P. D.; Rogers, D. G. 3 1986 The maximal normal subspace of the inverse image of a normal space of sequences by a non-negative matrix transformation. Zbl 0589.46007Johnson, P. D. jun.; Mohapatra, R. N. 3 1985 Which graphs have Hall number two? Zbl 1073.05568Johnson, P. D. jun.; Wantland, E. B. 3 2002 A graph parameter of Shields and Harary. Zbl 0764.05094Johnson, P. D. jun. 3 1991 Inequalities involving lower-triangular matrices. Zbl 0411.46007Johnson, P. D. jun.; Mohapatra, R. N. 3 1980 Introduction to information theory and data compression. Zbl 0903.94001Hankerson, Darrel R.; Harris, Greg A.; Johnson, Peter D. jun. 3 1998 Forbidding prescribed distances for designated colors. Zbl 0848.05030Greenwell, Don; Johnson, Peter D. jun. 3 1992 List multicolorings of graphs with measurable sets. Zbl 1113.05033Hilton, A. J. W.; Johnson, P. D. 3 2007 Unifying inequalities of Hardy, Copson, and others. Zbl 1320.26020Carley, H.; Johnson, P. D.; Mohapatra, R. N. 3 2015 A variation of Ryser’s theorem and a necessary condition for the list- colouring problem. Zbl 0693.05034Hilton, Anthony; Johnson, Peter 3 1990 Extending Hall’s theorem into list colorings: a partial history. Zbl 1139.05021Hoffman, Dean G.; Johnson, Peter D. jun. 3 2007 Rainbow connectivity in some Cayley graphs. Zbl 1404.05100Bau, Sheng; Johnson, Peter; Jones, Edna; Kumwenda, Khumbo; Matzke, Ryan 2 2018 Connected minimum secure-dominating sets in grids. Zbl 1375.05191Barnett, Johnathan; Blumenthal, Adam; Johnson, Peter; Jones, Cadavious; Matzke, Ryan; Mujuni, Egbert 2 2017 Pointwise conditions for analyticity and polynomiality of infinitely differentiable functions. Zbl 0684.26009Boghossian, Artin; Johnson, Peter D. jun. 2 1989 More extremal graphs for a maximal-joint-neighborhood, average-triangles-per-edge inequality. Zbl 0961.05039Johnson, P. D. jun.; Roblee, K. J. 2 1999 Progress on the Hall-number-two problem. Zbl 0961.05024Eslahchi, Ch.; Hilton, A. J. W.; Johnson, P. D. jun. 2 2000 On an analogue of Hardy’s inequality. Zbl 0817.46009Johnson, P. D. jun.; Mohapatra, R. N. 2 1993 On the choice number of \(K_{m,n}\). Zbl 0801.05027Hoffman, D. G.; Johnson, P. D. jun. 2 1993 Yet another species of forbidden-distances chromatic number. Zbl 0979.05051Abrams, Aaron; Johnson, Peter 2 2001 The Shields-Harary indices of vulnerability of a graph. Zbl 1001.05071Harary, F.; Johnson, P. D. jun. 2 2001 Spectral radius and seminorms in finite-dimensional algebras. Zbl 0405.15019Johnson, Peter D. jun. 2 1978 Sectional convergence in spaces obtained as inverse images of sequence spaces under matrix transformations. Zbl 0418.46004Johnson, P. D. jun.; Mohapatra, R. N. 2 1979 Recurrence and dispersion under iteration of Cebysev polynomials. Zbl 0438.28016Johnson, P.; Sklar, A. 2 1976 The choice number of the plane. Zbl 0848.05031Johnson, Peter D. jun. 2 1994 More on the fractional chromatic number. Zbl 0941.05024Johnson, P. D. jun. 2 1999 Introduction to information theory and data compression. 2nd ed. Zbl 1030.94021Hankerson, Darrel; Harris, Greg A.; Johnson, Peter D. jun. 2 2003 Two problems concerning Hall’s condition. Zbl 0996.05059Johnson, P. D. jun.; Wantland, E. B. 2 2001 On an extremal subfamily of an extremal family of nearly strongly regular graphs. Zbl 0998.05067Johnson, P. D. jun.; Roblee, K. J. 2 2002 Hall’s condition for list-coloring, and the Hall parameters: Recent developments. Zbl 1008.05054Johnson, P. D. jun. 2 2002 The fractional chromatic number, the Hall ratio, and the lexicographic product. Zbl 1209.05086Johnson, P. D. jun. 2 2009 Some extremal problems for edge-regular graphs. Zbl 1274.05076Coolsaet, K.; Johnson, P. D. jun.; Roblee, K. J.; Smotzer, T. D. 2 2012 On rainbow-cycle-forbidding edge colorings of finite graphs. Zbl 1431.05068Hoffman, Dean; Horn, Paul; Johnson, Peter; Owens, Andrew 2 2019 Two-colorings of real quadratic extensions of \(Q^ 2\) that forbid many distances. Zbl 0648.05006Johnson, P. D. jun. 2 1987 Alternative solution of the inhomogeneous linear differential equation of order two. Zbl 1134.34303Johnson, P.; Busawon, K.; Barbot, J. P. 2 2008 Detecting changes in real-time data: a user’s guide to optimal detection. Zbl 1407.62063Johnson, P.; Moriarty, J.; Peskir, G. 1 2017 Regular clique assemblies, configurations, and friendship in edge-regular graphs. Zbl 1388.05137Guest, Kelly B.; Hammer, James M.; Johnson, Peter D.; Roblee, Kenneth J. 1 2017 Alternating projections methods for discrete-time stabilization of quantum states. Zbl 1390.81110Ticozzi, Francesco; Zuccato, Luca; Johnson, Peter D.; Viola, Lorenza 1 2018 On inequalities related to sequence spaces ces[p,q]. Zbl 0585.46006Johnson, P. D.; Mohapatra, R. N. 1 1984 Another extremal property of some Turán graphs. Zbl 0615.05036Edwards, Christopher S.; Johnson, Peter D.; Tuza, Zsolt 1 1987 A very short proof of a well-known fact about circles in the plane. Zbl 1351.51014Johnson, Peter; Noble, Matt 1 2015 Edge colorings of \(K(m,n)\) with \(m+n-1\) colors which forbid rainbow cycles. Zbl 1416.05109Johnson, Peter; Zhang, Claire 1 2017 Edge colorings of complete multipartite graphs forbidding rainbow cycles. Zbl 1416.05108Johnson, Peter; Owens, Andrew 1 2017 On the classification of polar spaces. Zbl 0798.51008Cuypers, Hans; Johnson, Peter; Pasini, Antonio 1 1993 The Shields-Harary numbers of \(K_n -e\), for continuous cost functions. Zbl 0976.05033Holliday, John; Johnson, Peter 1 2000 The chromatic numbers of some Euclidean distance graphs. Zbl 0990.05048Bohannon, Aaron; Johnson, Peter; Lanig, Jeremy; Rubalcaba, Robert 1 2001 Sharpening the Faudree-Knisley theorem on \((2,r)\)-regularity. Zbl 1049.05071Johnson, P. D. jun.; Morgan, E. J. 1 2003 The actions of fractional automorphisms. Zbl 1054.05077Johnson, Peter D. jun.; Rubalcaba, Robert; Walsh, Matthew 1 2004 Generating Huffman sequences. Zbl 1090.68116Hoffman, Dean; Johnson, Peter; Wilson, Nadine 1 2005 Coloring the vertices of a graph with measurable sets in a probability space. Zbl 1059.05050Johnson, P. D. jun.; Rodger, C. A. 1 2005 Domination null and packing null vertices. Zbl 1062.05111Johnson, Peter; Rubalcaba, Robert; Walsh, Matthew 1 2004 An algebraic definition of fractional differentiation. Zbl 0339.26014Johnson, Peter D. jun. 1 1975 A Hardy-Davies-Petersen inequality for a class of matrices. Zbl 0362.40005Johnson, P. D. jun.; Mohapatra, R. N. 1 1978 An extremal family of strongly regular graphs. Zbl 0862.05101Hoffman, D. G.; Johnson, P. D. jun. 1 1990 Restricted choice numbers. Zbl 0835.05026Hoffman, D. G.; Johnson, P. D. jun.; Wantland, E. B. 1 1994 Functions which preserve unit distance. Zbl 0844.51007Greenwell, Don; Johnson, Peter D. jun. 1 1993 About two definitions of the fractional chromatic number. Zbl 0856.05036Johnson, P. D. jun. 1 1996 Fractional inverse and inverse fractional domination. Zbl 1224.05371Johnson, P. D. jun.; Walsh, M. 1 2008 The \(k\)-fold list coloring of cycles with Hall’s condition. Zbl 1187.05051Cropper, M. M.; Hilton, A. J. W.; Jacobson, M. S.; Johnson, P. D.; Lehel, J. 1 2008 Chromatic villainy in graphs. Zbl 1116.05026Clark, Sally A.; Holliday, John E.; Holliday, Sarah H.; Johnson, Peter D. jun.; Trimm, Janet E.; Rubalcaba, Robert R.; Walsh, Matt 1 2006 \(p\)-norm fractional domination in graphs. Zbl 1119.05076Hoffman, Dean; Johnson, Peter; Rubalcaba, Robert; Walsh, Matt 1 2006 Another network vulnerability parameter. Zbl 0993.05096Walsh, Matthew; Johnson, Peter D. jun. 1 2001 Two kinds of Frobenius problems in \(\mathbb Z[\sqrt m]\). Zbl 1362.11086Beneish, Lea; Holmes, Brent; Johnson, Peter; Lai, Tim 1 2012 On spaces derivable from a solid sequence space and a non-negative lower triangular matrix. Zbl 1354.46007Johnson, Peter D.; Polat, Faruk 1 2015 A pointwise condition for an infinitely differentiable function of several variables to be a polynomial. Zbl 0713.26010Boghossian, Artin B.; Johnson, Peter D. jun. 1 1990 Edge-colorings of \(K_n\) which forbid rainbow cycles. Zbl 1248.05065Gouge, Adam; Hoffman, Dean; Johnson, Peter; Nunley, Laura; Paben, Luke 1 2010 Graphs such that all minimum dominating sets intersect all maximally independent sets. Zbl 1270.05075Johnson, Peter D. jun.; Prier, D. R. 1 2012 Shields-Harary numbers of graphs with respect to continuous concave cost functions. Zbl 1031.05123Holliday, John; Johnson, Peter 1 2003 How does one cut a triangle? With forewords by Philip L. Engel, Paul Erdős, Branko Grünbaum, Peter D. Johnson jun. and Cecil Rousseau. 2nd ed. Zbl 1180.52001Soifer, Alexander 1 2009 On single-distance graphs on the rational points in Euclidean spaces. Zbl 1461.05078Bau, Sheng; Johnson, Peter; Noble, Matt 1 2021 A class of inequalities relating degrees of adjacent nodes to the average degree in edge-weighted uniform hypergraphs. Zbl 1085.05046Johnson, P. D. jun.; Mohapatra, R. N. 1 2005 Inequalities relating degrees of adjacent vertices to the average degree. Zbl 0624.05048Johnson, P. D. jun.; Perry, R. L. 1 1986 Reverse class critical multigraphs. Zbl 0643.05031Hilton, A. J. W.; Johnson, P. D. 1 1988 On a problem of Domke, Dunbar, Haynes, Hedetniemi, and Markus concerning the inverse domination number. Zbl 1223.05209Johnson, P. D. jun.; Prier, D. R.; Walsh, M. 1 2010 More extreme problems for edge-regular graphs. Zbl 1154.05041Johnson, P. D. jun.; Myrvol, W.; Roblee, K. J. 1 2007 Completing partial Latin squares: Cropper’s problem. Zbl 1142.05008Bobga, B. B.; Johnson, P. D. jun. 1 2007 D-efficient window experimental designs. Zbl 1144.62055Bogacka, B.; Johnson, P.; Jones, B.; Volkov, O. 1 2008 On single-distance graphs on the rational points in Euclidean spaces. Zbl 1461.05078Bau, Sheng; Johnson, Peter; Noble, Matt 1 2021 On rainbow-cycle-forbidding edge colorings of finite graphs. Zbl 1431.05068Hoffman, Dean; Horn, Paul; Johnson, Peter; Owens, Andrew 2 2019 Sequential testing problems for Bessel processes. Zbl 1406.60061Johnson, Peter; Peskir, Goran 7 2018 Rainbow connectivity in some Cayley graphs. Zbl 1404.05100Bau, Sheng; Johnson, Peter; Jones, Edna; Kumwenda, Khumbo; Matzke, Ryan 2 2018 Alternating projections methods for discrete-time stabilization of quantum states. Zbl 1390.81110Ticozzi, Francesco; Zuccato, Luca; Johnson, Peter D.; Viola, Lorenza 1 2018 Quickest detection problems for Bessel processes. Zbl 1370.60135Johnson, Peter; Peskir, Goran 15 2017 Connected minimum secure-dominating sets in grids. Zbl 1375.05191Barnett, Johnathan; Blumenthal, Adam; Johnson, Peter; Jones, Cadavious; Matzke, Ryan; Mujuni, Egbert 2 2017 Detecting changes in real-time data: a user’s guide to optimal detection. Zbl 1407.62063Johnson, P.; Moriarty, J.; Peskir, G. 1 2017 Regular clique assemblies, configurations, and friendship in edge-regular graphs. Zbl 1388.05137Guest, Kelly B.; Hammer, James M.; Johnson, Peter D.; Roblee, Kenneth J. 1 2017 Edge colorings of \(K(m,n)\) with \(m+n-1\) colors which forbid rainbow cycles. Zbl 1416.05109Johnson, Peter; Zhang, Claire 1 2017 Edge colorings of complete multipartite graphs forbidding rainbow cycles. Zbl 1416.05108Johnson, Peter; Owens, Andrew 1 2017 Unifying inequalities of Hardy, Copson, and others. Zbl 1320.26020Carley, H.; Johnson, P. D.; Mohapatra, R. N. 3 2015 A very short proof of a well-known fact about circles in the plane. Zbl 1351.51014Johnson, Peter; Noble, Matt 1 2015 On spaces derivable from a solid sequence space and a non-negative lower triangular matrix. Zbl 1354.46007Johnson, Peter D.; Polat, Faruk 1 2015 On the choosability of some graphs. Zbl 1338.05071Allagan, Julian A.; Bobga, Benkam; Johnson, Peter 1 2015 Integer and fractional security in graphs. Zbl 1246.05120Isaak, Garth; Johnson, Peter; Petrie, Caleb 4 2012 Some extremal problems for edge-regular graphs. Zbl 1274.05076Coolsaet, K.; Johnson, P. D. jun.; Roblee, K. J.; Smotzer, T. D. 2 2012 Two kinds of Frobenius problems in \(\mathbb Z[\sqrt m]\). Zbl 1362.11086Beneish, Lea; Holmes, Brent; Johnson, Peter; Lai, Tim 1 2012 Graphs such that all minimum dominating sets intersect all maximally independent sets. Zbl 1270.05075Johnson, Peter D. jun.; Prier, D. R. 1 2012 Completing partial Latin squares: Cropper’s question. Zbl 1228.05083Bobga, B. B.; Goldwasser, J. L.; Hilton, A. J. W.; Johnson, P. D. jun. 6 2011 The connected hub number and the connected domination number. Zbl 1233.05126Johnson, Peter; Slater, Peter; Walsh, Matt 5 2011 Edge-colorings of \(K_n\) which forbid rainbow cycles. Zbl 1248.05065Gouge, Adam; Hoffman, Dean; Johnson, Peter; Nunley, Laura; Paben, Luke 1 2010 On a problem of Domke, Dunbar, Haynes, Hedetniemi, and Markus concerning the inverse domination number. Zbl 1223.05209Johnson, P. D. jun.; Prier, D. R.; Walsh, M. 1 2010 The mathematical coloring book. Mathematics of coloring and the colorful life of its creators. Forewords by Branko Grünbaum, Peter D. Johnson jun., and Cecil Rousseau. Zbl 1221.05001Soifer, Alexander 89 2009 The fractional chromatic number, the Hall ratio, and the lexicographic product. Zbl 1209.05086Johnson, P. D. jun. 2 2009 How does one cut a triangle? With forewords by Philip L. Engel, Paul Erdős, Branko Grünbaum, Peter D. Johnson jun. and Cecil Rousseau. 2nd ed. Zbl 1180.52001Soifer, Alexander 1 2009 Alternative solution of the inhomogeneous linear differential equation of order two. Zbl 1134.34303Johnson, P.; Busawon, K.; Barbot, J. P. 2 2008 Fractional inverse and inverse fractional domination. Zbl 1224.05371Johnson, P. D. jun.; Walsh, M. 1 2008 The \(k\)-fold list coloring of cycles with Hall’s condition. Zbl 1187.05051Cropper, M. M.; Hilton, A. J. W.; Jacobson, M. S.; Johnson, P. D.; Lehel, J. 1 2008 D-efficient window experimental designs. Zbl 1144.62055Bogacka, B.; Johnson, P.; Jones, B.; Volkov, O. 1 2008 List multicolorings of graphs with measurable sets. Zbl 1113.05033Hilton, A. J. W.; Johnson, P. D. 3 2007 Extending Hall’s theorem into list colorings: a partial history. Zbl 1139.05021Hoffman, Dean G.; Johnson, Peter D. jun. 3 2007 More extreme problems for edge-regular graphs. Zbl 1154.05041Johnson, P. D. jun.; Myrvol, W.; Roblee, K. J. 1 2007 Completing partial Latin squares: Cropper’s problem. Zbl 1142.05008Bobga, B. B.; Johnson, P. D. jun. 1 2007 Chromatic villainy in graphs. Zbl 1116.05026Clark, Sally A.; Holliday, John E.; Holliday, Sarah H.; Johnson, Peter D. jun.; Trimm, Janet E.; Rubalcaba, Robert R.; Walsh, Matt 1 2006 \(p\)-norm fractional domination in graphs. Zbl 1119.05076Hoffman, Dean; Johnson, Peter; Rubalcaba, Robert; Walsh, Matt 1 2006 Generating Huffman sequences. Zbl 1090.68116Hoffman, Dean; Johnson, Peter; Wilson, Nadine 1 2005 Coloring the vertices of a graph with measurable sets in a probability space. Zbl 1059.05050Johnson, P. D. jun.; Rodger, C. A. 1 2005 A class of inequalities relating degrees of adjacent nodes to the average degree in edge-weighted uniform hypergraphs. Zbl 1085.05046Johnson, P. D. jun.; Mohapatra, R. N. 1 2005 Analytical solution of a class of linear differential equations. Zbl 1290.34001Busawon, K.; Johnson, P. 1 2005 The actions of fractional automorphisms. Zbl 1054.05077Johnson, Peter D. jun.; Rubalcaba, Robert; Walsh, Matthew 1 2004 Domination null and packing null vertices. Zbl 1062.05111Johnson, Peter; Rubalcaba, Robert; Walsh, Matthew 1 2004 Introduction to information theory and data compression. 2nd ed. Zbl 1030.94021Hankerson, Darrel; Harris, Greg A.; Johnson, Peter D. jun. 2 2003 Sharpening the Faudree-Knisley theorem on \((2,r)\)-regularity. Zbl 1049.05071Johnson, P. D. jun.; Morgan, E. J. 1 2003 Shields-Harary numbers of graphs with respect to continuous concave cost functions. Zbl 1031.05123Holliday, John; Johnson, Peter 1 2003 Which graphs have Hall number two? Zbl 1073.05568Johnson, P. D. jun.; Wantland, E. B. 3 2002 On an extremal subfamily of an extremal family of nearly strongly regular graphs. Zbl 0998.05067Johnson, P. D. jun.; Roblee, K. J. 2 2002 Hall’s condition for list-coloring, and the Hall parameters: Recent developments. Zbl 1008.05054Johnson, P. D. jun. 2 2002 Relations among the fractional chromatic, choice, Hall, and Hall-condition numbers of simple graphs. Zbl 0991.05047Daneshgar, A.; Hilton, A. J. W.; Johnson, P. D. jun. 10 2001 Yet another species of forbidden-distances chromatic number. Zbl 0979.05051Abrams, Aaron; Johnson, Peter 2 2001 The Shields-Harary indices of vulnerability of a graph. Zbl 1001.05071Harary, F.; Johnson, P. D. jun. 2 2001 Two problems concerning Hall’s condition. Zbl 0996.05059Johnson, P. D. jun.; Wantland, E. B. 2 2001 The chromatic numbers of some Euclidean distance graphs. Zbl 0990.05048Bohannon, Aaron; Johnson, Peter; Lanig, Jeremy; Rubalcaba, Robert 1 2001 Another network vulnerability parameter. Zbl 0993.05096Walsh, Matthew; Johnson, Peter D. jun. 1 2001 Extending the disjoint-representatives theorems of Hall, Halmos, and Vaughan to list-multicolorings of graphs. Zbl 0944.05040Cropper, M. M.; Goldwasser, J. L.; Hilton, A. J. W.; Hoffman, D. G.; Johnson, P. D. jun. 5 2000 Progress on the Hall-number-two problem. Zbl 0961.05024Eslahchi, Ch.; Hilton, A. J. W.; Johnson, P. D. jun. 2 2000 The Shields-Harary numbers of \(K_n -e\), for continuous cost functions. Zbl 0976.05033Holliday, John; Johnson, Peter 1 2000 Greedy colorings and the Grundy chromatic number of the \(n\)-cube. Zbl 0937.05046Hoffman, D. G.; Johnson, P. D. jun. 6 1999 The Hall number, the Hall index, and the total Hall number of a graph. Zbl 0934.05001Hilton, A. J. W.; Johnson, P. D. jun. 4 1999 More extremal graphs for a maximal-joint-neighborhood, average-triangles-per-edge inequality. Zbl 0961.05039Johnson, P. D. jun.; Roblee, K. J. 2 1999 More on the fractional chromatic number. Zbl 0941.05024Johnson, P. D. jun. 2 1999 Introduction to information theory and data compression. Zbl 0903.94001Hankerson, Darrel R.; Harris, Greg A.; Johnson, Peter D. jun. 3 1998 Hall’s condition for multicolorings. Zbl 0904.05032Hilton, A. J. W.; Johnson, P. D. jun.; Leonard, D. A. 5 1997 Bounds for the operator norms of some Nörlund matrices. Zbl 0846.40007Johnson, P. D. jun.; Mohapatra, R. N.; Ross, David 11 1996 The Hall number of a simple graph. Zbl 0897.05040Hilton, A. J. W.; Johnson, P. D. jun.; Wantland, E. B. 8 1996 About two definitions of the fractional chromatic number. Zbl 0856.05036Johnson, P. D. jun. 1 1996 Geometric hyperplanes in generalized hexagons of order (2,2). Zbl 0797.51008Frohardt, Daniel; Johnson, Peter 13 1994 The Hall-condition number of a graph. Zbl 0809.05045Johnson, P. D. jun. 5 1994 The choice number of the plane. Zbl 0848.05031Johnson, Peter D. jun. 2 1994 Restricted choice numbers. Zbl 0835.05026Hoffman, D. G.; Johnson, P. D. jun.; Wantland, E. B. 1 1994 On an analogue of Hardy’s inequality. Zbl 0817.46009Johnson, P. D. jun.; Mohapatra, R. N. 2 1993 On the choice number of \(K_{m,n}\). Zbl 0801.05027Hoffman, D. G.; Johnson, P. D. jun. 2 1993 On the classification of polar spaces. Zbl 0798.51008Cuypers, Hans; Johnson, Peter; Pasini, Antonio 1 1993 Functions which preserve unit distance. Zbl 0844.51007Greenwell, Don; Johnson, Peter D. jun. 1 1993 On the embeddability of polar spaces. Zbl 0772.51007Cuypers, Hans; Johnson, Peter; Pasini, Antonio 5 1992 Forbidding prescribed distances for designated colors. Zbl 0848.05030Greenwell, Don; Johnson, Peter D. jun. 3 1992 A graph parameter of Shields and Harary. Zbl 0764.05094Johnson, P. D. jun. 3 1991 Two-colorings of a dense subgroup of \({\mathbb{Q}}^ n\) that forbid many distances. Zbl 0701.05005Johnson, Peter D. jun. 5 1990 Extending Hall’s theorem. Zbl 0731.05017Hilton, A. J. W.; Johnson, P. D. jun. 5 1990 A variation of Ryser’s theorem and a necessary condition for the list- colouring problem. Zbl 0693.05034Hilton, Anthony; Johnson, Peter 3 1990 An extremal family of strongly regular graphs. Zbl 0862.05101Hoffman, D. G.; Johnson, P. D. jun. 1 1990 A pointwise condition for an infinitely differentiable function of several variables to be a polynomial. Zbl 0713.26010Boghossian, Artin B.; Johnson, Peter D. jun. 1 1990 Graphs which are vertex-critical with respect to the edge-chromatic class. Zbl 0725.05041Hilton, A. J.; Johnson, P. D. 4 1989 Pointwise conditions for analyticity and polynomiality of infinitely differentiable functions. Zbl 0684.26009Boghossian, Artin; Johnson, Peter D. jun. 2 1989 Local characterizations of polar spaces. Zbl 0662.51005Johnson, Peter; Shult, Ernest 4 1988 Reverse class critical multigraphs. Zbl 0643.05031Hilton, A. J. W.; Johnson, P. D. 1 1988 Graphs which are vertex-critical with respect to the edge-chromatic number. Zbl 0631.05024Hilton, A. J. W.; Johnson, P. D. 8 1987 Two-colorings of real quadratic extensions of \(Q^ 2\) that forbid many distances. Zbl 0648.05006Johnson, P. D. jun. 2 1987 Another extremal property of some Turán graphs. Zbl 0615.05036Edwards, Christopher S.; Johnson, Peter D.; Tuza, Zsolt 1 1987 Compatible additive permutations of finite integral bases. Zbl 0586.05001Johnson, P. D.; Rogers, D. G. 3 1986 Inequalities relating degrees of adjacent vertices to the average degree. Zbl 0624.05048Johnson, P. D. jun.; Perry, R. L. 1 1986 The maximal normal subspace of the inverse image of a normal space of sequences by a non-negative matrix transformation. Zbl 0589.46007Johnson, P. D. jun.; Mohapatra, R. N. 3 1985 On inequalities related to sequence spaces ces[p,q]. Zbl 0585.46006Johnson, P. D.; Mohapatra, R. N. 1 1984 Coloring abelian groups. Zbl 0485.05009Johnson, P. D. 7 1982 Inequalities involving lower-triangular matrices. Zbl 0411.46007Johnson, P. D. jun.; Mohapatra, R. N. 3 1980 Density of finitely non-zero sequences in some sequence spaces. Zbl 0418.46005Johnson, P. D. jun.; Mohapatra, R. N. 5 1979 Sectional convergence in spaces obtained as inverse images of sequence spaces under matrix transformations. Zbl 0418.46004Johnson, P. D. jun.; Mohapatra, R. N. 2 1979 Spectral radius and seminorms in finite-dimensional algebras. Zbl 0405.15019Johnson, Peter D. jun. 2 1978 A Hardy-Davies-Petersen inequality for a class of matrices. Zbl 0362.40005Johnson, P. D. jun.; Mohapatra, R. N. 1 1978 Functions that preserve unit distance. Zbl 0319.50005Greenwell, Donald; Johnson, Peter D. 6 1976 ...and 2 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 226 Authors 19 Johnson, Peter D. jun. 10 Hilton, Anthony J. W. 6 Talebi, Gholamreza 5 Lehel, Jeno 4 Cropper, Mathew Maurice 4 Tuza, Zsolt 3 Gyárfás, András 3 Hedetniemi, Stephen Travis 3 Hoffman, Dean G. 3 Kutnar, Klavdija 3 Miklavič, Štefko 3 Mohapatra, Ram Narayan 3 Noble, Matthew 3 Saker, Samir H. 3 Vandenbussche, Jennifer 3 Westlund, Erik E. 2 Chen, Chang-Pao 2 Dehghan, Mohammad Ali 2 Goldwasser, John L. 2 Holliday, Sarah H. 2 Kuz’minykh, Aleksandr Veniaminovich 2 Laskar, Renu Chakravarti 2 Luor, Dahchin 2 Mahmoud, Ramy Ramadan 2 Marušič, Dragan 2 McRae, Alice A. 2 Petz, Dénes 2 Rodger, Christopher Andrew 2 Rogers, Douglas G. 2 Šparl, Primož 2 Wu, Baoyindureng 2 Zatesko, Leandro M. 1 Abdo, Khadega R. 1 Abrams, Aaron 1 Abuelwafa, Maryam M. 1 Aharoni, Ron 1 Akbari, Saieed 1 Allagan, Julian A. D. 1 Aubry, Yves 1 Bai, Yandong 1 Băleanu, Dumitru I. 1 Barber, Ben 1 Barnett, Johnathan 1 Bau, Sheng 1 Blumenthal, Adam 1 Boas, Ralph Philip jun. 1 Bobga, Benedict Benkam 1 Boghossian, Artin B. 1 Bousquet, Nicolas 1 Briggs, Joseph 1 Burkert, Jeffrey 1 Campos, Victor A. 1 Carmo, Renato 1 Chartrand, Gary Theodore 1 Cherkashin, Danila D. 1 Chetwynd, Amanda G. 1 Chithra, M. R. 1 Chow, Timothy Yi-Chung 1 Currie, James D. 1 Daneshgar, Amir 1 Dang, Zhilan 1 De Biasi, Marzio 1 Picinin de Mello, Célia 1 De Simone, Caterina 1 Doan, Trung Duy 1 Dutta, Hemen 1 Dvořák, Zdeněk 1 Edwards, Christopher S. 1 Erdős, Pál 1 Eslahchi, Changiz 1 Esperet, Louis 1 Evans, Rhys J. 1 Fanaï, Hamid-Reza 1 Fehribach, Rebecca 1 Feng, Jun’e 1 Fischer, Klaus G. 1 Galvin, Fred 1 Gioran, C. 1 Goddard, Wayne Dean 1 Godin, Jean-Christophe 1 Gogoi, Jyotishmaan 1 Goryainov, Sergey Viktorovich 1 Guedes, André Luiz P. 1 Hamilton, G. M. 1 Hammer, James M. 1 Han, Tingting 1 Harary, Frank 1 Harrington, Joshua 1 Hasunuma, Toru 1 Havet, Frédéric 1 Hayasaka, Takanori 1 Hedetniemi, Sandra Lee Mitchell 1 Hejrati, Mohsen 1 Henning, Michael Anthony 1 Hladký, Jan 1 Holzman, Ron 1 Hooshmandasl, Mohammad Reza 1 Horn, Paul S. 1 Hou, Jianfeng 1 Hujter, Mihály ...and 126 more Authors all top 5 Cited in 62 Serials 30 Discrete Mathematics 11 Discrete Applied Mathematics 5 Journal of Graph Theory 5 The Electronic Journal of Combinatorics 4 Journal of Mathematical Analysis and Applications 4 European Journal of Combinatorics 4 Graphs and Combinatorics 3 Linear and Multilinear Algebra 3 AKCE International Journal of Graphs and Combinatorics 2 Information Sciences 2 International Journal of Mathematics and Mathematical Sciences 2 Journal of Combinatorial Theory. Series B 2 Proceedings of the American Mathematical Society 2 Theoretical Computer Science 2 Applied Mathematics Letters 2 Indagationes Mathematicae. New Series 2 The Australasian Journal of Combinatorics 2 Discussiones Mathematicae. Graph Theory 2 Journal of Inequalities and Applications 2 Journal of Combinatorial Optimization 2 Integers 1 Analysis Mathematica 1 Computers & Mathematics with Applications 1 Indian Journal of Pure & Applied Mathematics 1 International Journal of Theoretical Physics 1 Information Processing Letters 1 Problems of Information Transmission 1 The Mathematical Intelligencer 1 Archiv der Mathematik 1 Canadian Mathematical Bulletin 1 Czechoslovak Mathematical Journal 1 Journal of Combinatorial Theory. Series A 1 Journal of Computer and System Sciences 1 Journal of Geometry 1 Mathematika 1 Siberian Mathematical Journal 1 Tamkang Journal of Mathematics 1 Combinatorica 1 Acta Mathematica Hungarica 1 Statistical Science 1 Mathematical and Computer Modelling 1 SIAM Journal on Discrete Mathematics 1 Journal of Contemporary Mathematical Analysis. Armenian Academy of Sciences 1 Linear Algebra and its Applications 1 Computational Statistics and Data Analysis 1 The Journal of Analysis 1 St. Petersburg Mathematical Journal 1 Journal of the Egyptian Mathematical Society 1 Turkish Journal of Mathematics 1 Journal of Combinatorial Designs 1 Bulletin des Sciences Mathématiques 1 Opuscula Mathematica 1 Doklady Mathematics 1 Advances in Geometry 1 Journal of Applied Mathematics 1 Bulletin of the Brazilian Mathematical Society. New Series 1 Journal of Discrete Algorithms 1 Analysis and Applications (Singapore) 1 Journal of Physics A: Mathematical and Theoretical 1 Journal of Mathematical Inequalities 1 Discrete Mathematics, Algorithms and Applications 1 Advances in Fuzzy Systems all top 5 Cited in 26 Fields 98 Combinatorics (05-XX) 13 Real functions (26-XX) 13 Functional analysis (46-XX) 9 Sequences, series, summability (40-XX) 9 Operator theory (47-XX) 9 Computer science (68-XX) 7 Number theory (11-XX) 6 Geometry (51-XX) 5 Linear and multilinear algebra; matrix theory (15-XX) 4 Information and communication theory, circuits (94-XX) 3 Probability theory and stochastic processes (60-XX) 3 Statistics (62-XX) 2 Convex and discrete geometry (52-XX) 2 Operations research, mathematical programming (90-XX) 2 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 1 History and biography (01-XX) 1 Order, lattices, ordered algebraic structures (06-XX) 1 Group theory and generalizations (20-XX) 1 Measure and integration (28-XX) 1 Ordinary differential equations (34-XX) 1 Partial differential equations (35-XX) 1 Approximations and expansions (41-XX) 1 Integral transforms, operational calculus (44-XX) 1 General topology (54-XX) 1 Quantum theory (81-XX) 1 Relativity and gravitational theory (83-XX) Citations by Year