• All graphs on a non-prime number of vertices are destructible, wg and P.A. Winter. Quaestiones Math., 8:381-385, 1986.
• A characterization of stable graphs on a maximum (minimum) number of edges, wg and P.A. Winter. Quaestiones Math., 10:175-178, 1986.
• The integrity of combinations of graphs, wg and H.C. Swart. J. Combin. Math. Combin. Comput., 4:3-18, 1988.
• On the toughness of a graph, wg and H.C. Swart. Quaestiones Math., 13:217-232, 1990.
• The integrity of a graph: bounds and basics, wg and H.C. Swart. J. Combin. Math. Combin. Comput., 7:139-151, 1990.
• Which graphs are distance graphs?, G. Chartrand, wg, M.A. Henning, L. Lesniak, H.C. Swart, and C. Wall. Ars Combin., 29A:225-232, 1990.
• A new approach to distance stable graphs, wg, O.R. Oellermann, and H.C. Swart. J. Combin. Math. Combin. Comput., 8:209-220, 1990.
• The binding number of trees and $K(1,3)$-free graphs, wg. J. Combin. Math. Combin. Comput., 7:193-200, 1990.
• The integrity of the cube is small, L.W. Beineke, wg, P. Hamburger, D.J. Kleitman, M.J. Lipman, and R.E. Pippert. J. Combin. Math. Combin. Comput, 9:191-193, 1991.
• On distances between isomorphism classes of graphs, G. Benadé, wg, T.A. McKee, and P.A. Winter. Math. Bohem., 116:160-169, 1991.
• On multipartite tournaments, wg, G. Kubicki, O.R. Oellermann, and S. Tian. J. Combin. Theory Ser. B, 52:284-300, 1991.
• Acyclic colorings of planar graphs, wg. Discrete Math., 91:91-94, 1991.
• An algorithm for outerplanar graphs with parameter, Binghuan Zhu and wg. J. Algorithms, 12:657-662, 1991.
• On some extremal problems in connectivity, wg and H.C. Swart. In Graph Theory, Combinatorics, and Applications, Vol. 1, Y. Alavi et al. eds, pages 535-551, 1991.
• The cycle structure of multipartite tournaments, wg and O.R. Oellermann. In Graph Theory, Combinatorics and Applications, Vol. 1, Y. Alavi et al. eds, pages 525-533, 1991.
• Two results on the binding numbers of products graphs, wg and H.C. Swart. Ars Combin., 34:119-128, 1992.
• A survey of integrity, K.S. Bagga, L.W. Beineke, wg, M.J. Lipman, and R.E. Pippert. Discrete Appl. Math., 37/38:13-28, 1992.
• Some Nordhaus-Gaddum-type results, wg, M.A. Henning, and H.C. Swart. J. Graph Theory, 16:221-231, 1992.
• Principal common divisors, G. Chartrand, wg, M.A. Henning, F. Saba, and H.C. Swart. Europ. J. Combin., 14:85-93, 1993.
• Path chromatic sequences of graphs, H. Chen, wg, J. McCanna, and R. Poh. Bull. Inst. Combin. Appl., 7:33-35, 1993.
• The minimum size of agreement subtrees of two binary trees, wg and G. Kubicki. Congr. Numer., 97:131-136, 1993.
• A note on maximal triangle-free graphs, wg and D.J. Kleitman. J. Graph Theory, 17:629-631, 1993.
• Some general results on the framing number of a graph, wg, M.A. Henning, O.R. Oellermann, and H.C. Swart. Quaestiones Math., 16:289-301, 1993.
• The agreement metric for labeled binary trees, wg, E.M. Kubicka, G. Kubicki, and F. McMorris. Math. Biosci., 123:215-226, 1994.
• Random packings of graphs, L.W. Beineke, wg, and P. Hamburger. Discrete Math., 125:45-54, 1994.
• An upper bound on the Ramsey numbers $r(K_3,G)$, wg and D.J. Kleitman. Discrete Math., 125:177-182, 1994.
• Measures of vulnerability-The integrity family, wg. Networks, 24:207-213, 1994.
• Steiner distance stable graphs, wg, O.R. Oellermann, and H.C. Swart. Discrete Math., 132:65-73, 1994.
• Even cycles in directed graphs, F.R.K. Chung, wg, and D.J. Kleitman. SIAM J. Discrete Math., 7:474-483, 1994.
• Agreement subtrees, metrics and consensus for labeled binary trees, wg, E.M. Kubicka, G. Kubicki, and F. McMorris. In Partitioning Data Sets, Cox et al. eds, pages 97-104, 1995.
• The toughness of cubic graphs, wg. Graphs Combin., 12:17-22, 1996.
• The edge integrity of cartesian products, L.W. Beineke, wg, and M.J. Lipman. J. Combin. Math. Combin. Comput., 21:129-145, 1996.
• Distances between graphs via edge operations, wg and H.C. Swart. Discrete Math., 161:121-132, 1996.
• The greatest common divisor index of a graph, G. Chartrand, wg, G. Kubicki, C.M. Mynhardt, and F. Saba. J. Combin. Math. Combin. Comput., 20:11-26, 1996.
• On algorithmic complexity of minus domination, J. Dunbar, wg, M.A. Henning, S.T. Hedetniemi, and A.A. McRae. Discrete Applied Math., 68:73-84, 1996.
• Extremal graphs with cliques and independent sets, R. Entringer, wg, and M.A. Henning. J. Graph Theory, 24:21-23, 1997.
• Defective colorings revisited, L. Cowen, wg, and E. Jesurum. J. Graph Theory, 24:205-219, 1997. Preliminary version in SODA 97.
• Maximum and minimum toughness of graphs of small genus, wg, M.D. Plummer, and H.C. Swart. Discrete Math., 167/168:329-339, 1997.
• Graphs with maximum edge integrity, L.W. Beineke, wg, and M.J. Lipman. Ars Combin., 46:119-127, 1997.
• Generalised domination and independence, wg and M.A. Henning. Congr. Numer., 123:161-171, 1997.
• Weakly pancyclic graphs, S. Brandt, R. Faudree, and wg. J. Graph Theory, 27:141-176, 1998.
• Homogeneous embeddings of cycles in graphs, wg, M.A. Henning, and H. Maharaj. Graphs Combin., 15:159-173, 1999.
• Real and integer domination in graphs, wg and M.A. Henning. Discrete Math., 199:61-75, 1999.
• Generalised eccentricity, radius and diameter in graphs, P. Dankelmann, wg, M.A. Henning, and H.C. Swart. Networks, 34:312-319, 1999.
• Bounds on the total redundance and efficiency of a graph, wg, O.R. Oellermann, P. Slater, and H.C. Swart. Ars Combin., 54:129-138, 2000.
• Results about graph decomposition, greatest common divisor index for graphs and digraphs, wg and G. Kubicki. J. Combin. Math. Combin. Comput., 32:173-184, 2000.
• Bipartite Ramsey numbers and Zarenkiewicz bounds, wg, M.A. Henning, and O.R. Oellermann. Discrete Math., 219:85-95, 2000.
• Multipartite Ramsey numbers, D. Day, wg, M.A. Henning, and H.C. Swart. Ars Combin., 58:23-31, 2001.
• Minimal and maximal $e=1$ functions, P. Dankelmann, D.J. Erwin, G. Fricke, wg, and H.C. Swart. J. Combin. Math. Combin. Comput., 36:127-138, 2001.
• Pancyclicity of the prism, wg and M.A. Henning. Discrete Math., 234:139-142, 2001.
• Average distance in coloured graphs, P. Dankelmann, wg, and P. Slater. J. Graph Theory, 38:1-17, 2001.
• Between packable and randomly packable graphs: Packer-spoiler graphs, wg and G. Kubicki. J. Combin. Math. Combin. Comput., 39:19-32, 2001.
• Augmentation to every 3 vertices in a cycle, P. Dankelmann, wg, O.R. Oellermann, and H.C. Swart. Discrete Applied Math., 116:145-159, 2002.
• Domination in planar graphs with small diameter, wg and M.A. Henning. J. Graph Theory, 40:1-25, 2002.
• A note on Steiner-distance-hereditary graphs, wg. J. Combin. Math. Combin. Comput., 40:167-170, 2002.
• 4-connected maximal planar graphs are 4-orderable, wg. Discrete Math., 257:405-410, 2002.
• More measures of vulnerability: Splinter sets and directed toughness, L.W. Beineke, wg, and R. Vandell. Congr. Numer., 155:81-88, 2002.
• Changing upper irredundance by edge addition, E.J. Cockayne, O. Favaron, wg, P.J.P. Grobler, and C.M. Mynhardt. Discrete Math., 266:185-193, 2003.
• Nordhaus-Gaddum bounds for independent domination, wg and M.A. Henning. Discrete Math., 268:299-302, 2003.
• MAD trees and distance-hereditary graphs, E. Dalhaus, P. Dankelmann, wg, and H.C. Swart. Discrete Applied Math., 131:151-167, 2003.
• Connectivity and distance measures in generalised prisms, wg, M. Raines, and P. Slater. Discrete Math., 271:61-70, 2003.
• Clique/connected/total domination perfect graphs, wg and M.A. Henning. Bull. Inst. Combin. Appl., 41:20-21, 2004.
• The average eccentricity of a graph and its subgraphs, P. Dankelmann, wg, and C.S. Swart. Util. Math., 65:41-51, 2004.
• Maximum sizes of graphs with given domination parameters, P. Dankelmann, G.S. Domke, wg, P.J.P. Grobler, J.H. Hattingh, and H.C. Swart. Discrete Math., 281:137-148, 2004.
• Minimum degree conditions for cycles including specified sets of vertices, wg. Graphs Combin., 20:467-483, 2004.
• The diameter of total domination vertex critical graphs, wg, T.W. Haynes, M.A. Henning, and L.C. van der Merwe. Discrete Math., 286:255-261, 2004.
• Augmenting trees to have two disjoint total dominating sets, I. Broere, M.S. Dorfling, wg, J.H. Hattingh, M.A. Henning, and E. Ungerer. Bull. Inst. Combin. Appl., 42:12-18, 2004.
• Hereditary domination and independence parameters, wg, T.W. Haynes, and D. Knisely. Discuss. Math. Graph Theory, 24:239-248, 2004.
• Offensive alliances, O. Favaron, G. Fricke, wg, S.M. Hedetniemi, S.T. Hedetniemi, P. Kristiansen, R. Laskar, and D. Skaggs. Discuss. Math. Graph Theory, 24:263-275, 2004.
• Multiple vertex coverings by cliques, wg and M.A. Henning. J. Graph Theory, 48:157-167, 2005.
• Eternal security in graphs, wg, S.M. Hedetniemi, and S.T. Hedetniemi. J. Combin. Math. Combin. Comput., 52:169-180, 2005.
• Vertex coverings by coloured induced graphs-frames and umbrellas, M.A. Henning and wg. Quaestiones Math., 28:1-10, 2005.
• On the graphs for with maximum distance or $k$-diameter, wg, C.S. Swart, and H.C. Swart. Math. Slovaca, 55:131-139, 2005.
• Generalized subgraph-restricted matchings in graphs, wg, S.M. Hedetniemi, S.T. Hedetniemi, and R. Laskar. Discrete Math., 293:129-138, 2005.
• Augmenting a graph of minimum degree 2 to have two disjoint total dominating sets, M.S. Dorfling, wg, J.H. Hattingh, and M.A. Henning. Discrete Math., 300:82-90, 2005.
• An algorithm for partial Grundy number on trees, Z. Shi, wg, S.T. Hedetniemi, K. Kennedy, R. Laskar, and A.A. McRae. Discrete Math., 304:108-116, 2005.
• Domination of Planar Graphs II, M.S. Dorfling, wg, and M.A. Henning. Ars Combin., 78:237-255, 2006.
• Domination equivalence in graphs, J.R.S. Blair, wg, S.M. Hedetniemi, S.T. Hedetniemi, and S.B. Horton. AKCE Int. J. Graphs Comb., 2:123-136, 2006.
• A note on the integrity of trees, wg. Utilitas Math., 69:227-232, 2006.
• Simultaneous graph parameters: Factor domination and factor total domination, P. Dankelmann, M.A. Henning, wg, and R. Laskar. Discrete Math., 306:2229-2233, 2006.
• Construction of trees and graphs with equal domination parameters, M.S. Dorfling, wg, M.A. Henning, and C.M. Mynhardt. Discrete Math., 306:2647-2654, 2006.
• The upper domination partition numbers of special graphs, J. Jacob, R. Laskar, and wg. Congr. Numer., 182:65-77, 2006.
• Orientation distance graphs revisited, wg and K. Kanakadandi. Discuss. Math. Graph Theory, 27:125-136, 2007.
• Restricted domination parameters in graphs, wg and M.A. Henning. J. Combin. Optim., 13:353-363, 2007.
• Double vertex graphs and complete double vertex graphs, J. Jacob, wg, and R. Laskar. Congr. Numer., 188:161-174, 2007.
• On domination numbers and reinforcement numbers in trees, J.R.S. Blair, wg, S.T. Hedetniemi, S.B. Horton, P. Jones, and G. Kubicki. Discrete Math., 308:1165-1175, 2008.
• Broadcast chromatic numbers of graphs, wg, S.M. Hedetniemi, S.T. Hedetniemi, J.M. Harris, and D.F. Rall. Ars Combin., 86:33-49, 2008.
• Minimal claw-free graphs, P. Dankelmann, H.C. Swart, P. van den Berg, wg, and M.D. Plummer. Czechoslovak Math. J., 58(133):787-798, 2008.
• On the Wimer method for designing edge-based algorithms, A. Jamieson, wg, and S.T. Hedetniemi. AKCE Int. J. Graphs Comb., 5:115-125, 2008.
• A note on trees, tables, and algorithms, wg and S.T. Hedetniemi. Networks, 53:184-190, 2009.
• Emergency response sets in graphs, J.R.S. Blair, wg, S.M. Hedetniemi, S.T. Hedetniemi, F. Manne, and D.F. Rall. J. Combin. Math. Combin. Comput., 68:225-243, 2009.
• The binding number of a graph and its cliques, J. Lyle and wg. Discrete Appl. Math., 157:3336-3340, 2009.
• A characterization of cubic graphs with paired-domination number three-fifths their order, wg and M.A. Henning. Graphs Combin., 25:675-692, 2009.
• Capacitated domination, wg, S.T. Hedetniemi, J. Huff, and A.A. McRae. Ars Combin., 96:75-86, 2010.
• Distance in graphs, wg and O.R. Oellermann. In Structural Analysis of Complex Networks, pages 49-72. Birkhäuser, 2011.
• Dense graphs with small clique number, wg and J. Lyle. J. Graph Theory, 66:319-331, 2011.
• Bounds on the $k$-domination number of a graph, E. DeLaVi na, wg, M.A. Henning, R. Pepper, and E.R. Vaughan. Appl. Math. Lett., 24:996-998, 2011.
• The graph distance game, wg, A. Sinko, P. Slater, and H. Xu. AKCE Int. J. Graphs Comb., 8:85-96, 2011.
• Independent dominating sets in triangle-free graphs, wg and J. Lyle. J. Combin. Optim., 23:9-20, 2012.
• Vizing's conjecture: a survey and recent results, B. Bre\vsar, P. Dorbec, wg, B.L. Hartnell, M.A. Henning, S. Klav\vzar, and D.F. Rall. J. Graph Theory, 69:46-76, 2012.
• The algorithmic complexity of domination digraphs, wg, S.M. Hedetniemi, S.T. Hedetniemi, and A.A. McRae. J. Combin. Math. Combin. Comput., 80:367-384, 2012.
• Eccentric counts, connectivity and chordality., P. Dankelmann, D.J. Erwin, wg, S. Mukwembi, and H.C. Swart. Inf. Process. Lett., 112:944-947, 2012.
• The $S$-packing chromatic number of a graph, wg and H. Xu. Discuss. Math. Graph Theory, 32:795-806, 2012.
• On the independent domination number of regular graphs, wg, M.A. Henning, J. Lyle, and J. Southey. Ann. Comb., 16:719-732, 2012.
• Independent domination in graphs: A survey and recent results, wg and M.A. Henning. Discrete Math., 313:839-854, 2013.
• ID codes in Cartesian products of cliques, wg and K. Wash. J. Combin. Math. Combin. Comput., 85:97-106, 2013.
• An efficient algorithm for stopping on a sink in a directed graph, wg, E.M. Kubicka, and G. Kubicki. Oper. Res. Lett., 41:238-240, 2013.
• A note on extremal values of the scattering number, P. Dankelmann, wg, C.A. McPillan, and H.C. Swart. Taiwanese J. Math., 17:1651-1658, 2013.
• A characterisation of eccentric sequences of maximal outerplanar graphs, P. Dankelmann, D.J. Erwin, wg, S. Mukwembi, and H.C. Swart. Australas. J. Combin., 58:376-391, 2014.
• A note on $S$-packing colorings of lattices, wg and H. Xu. Discrete Appl. Math., 166:255-262, 2014.
• Semitotal domination in graphs, wg, M.A. Henning, and C.A. McPillan. Utilitas Math., 94:67-81, 2014.
• The disjunctive domination number of a graph, wg, M.A. Henning, and C.A. McPillan. Quaest. Math., 37:547-561, 2014.
• WORM colorings forbidding cycles or cliques, wg, K. Wash, and H. Xu. Congr. Numer., 219:161-173, 2014.
• WORM Colorings, wg, K. Wash, and H. Xu. Discuss. Math. Graph Theory, 35:571-584, 2015.
• Fractional, circular and defective colorings of series-parallel graphs, wg and H. Xu. J. Graph Theory, 81:146-153, 2016.
• Vertex colorings without rainbow subgraphs, wg and H. Xu. Discuss. Math. Graph Theory, 36:989-1005, 2016.
• Vertex colorings without rainbow or monochromatic subgraphs, wg and H. Xu. J. Combin. Math. Combin. Comput., 102:109-122, 2017.
• Coloring subgraphs with restricted amounts of hues, wg and R. Melville. Open Math., 15:1171-1180, 2017.
• Coloring graphs to produce properly colored walks, R. Melville and wg. Graphs Combin., 33:1271-1281, 2017.
• A note on domination and total domination in prisms, wg and M.A. Henning. J. Combin. Optim., 35:14-20, 2018.
• Properly colored trails, path, and bridges, wg and R. Melville. J. Combin. Optim., 35:463-472, 2018.
• The matcher game played in graphs, wg and M.A. Henning. Discrete Appl. Math., 237:82-88, 2018.
• Thoroughly dispersed colorings, wg and M.A. Henning. J. Graph Theory, 88:174-191, 2018.
• The competition-independence game in trees, wg and M.A. Henning. J. Combin. Math. Combin. Comput., 104:161-170, 2018.
• Binding number, cycles, and cliques, wg. In Graph Theory: Favorite Conjectures and Open Problems - 2, pages 19-25. Springer, 2018.
• Almost injective colorings, wg, R. Melville, and H. Xu. Discuss. Math. Graph Theory, 39:225-239, 2019.
• Acyclic total dominating sets in cubic graphs, wg and M.A. Henning. Appl. Anal. Discrete Math., 13:74-84, 2019.
• The generalized matcher game, A. Bachstein, wg, and C. Lehmacher. Discrete Appl. Math., 284:444-453, 2020.
• Independent domination, colorings and the fractional idomatic number of a graph, wg and M.A. Henning. Appl. Math. Comput., 382:125340, 8, 2020.
• Graphs in which all maximal bipartite subgraphs have the same order, wg, K. Kuenzel, and E. Melville. Aequationes Math., 94:1241-1255, 2020.
• Fractional dominating parameters, wg and M.A. Henning. In T.W. Haynes, S.T. Hedetniemi, and M.A. Henning, editors, Topics in Domination in Graphs, pages 349-263. Springer, 2020.
• Fractional domatic, idomatic, and total domatic numbers of a graph, wg and M.A. Henning. In T.W. Haynes, S.T. Hedetniemi, and M.A. Henning, editors, Structures of Domination in Graphs, pages 79-99. Springer, 2021.
• Domination and dominator colorings in planar graphs with small diameter, wg and M.A. Henning. Discrete Appl. Math., 313:80-92, 2022.
• Compelling colorings: A generalization of the dominator chromatic number, A. Bachstein, wg, M.A. Henning, and J. Xue. Appl. Math. Comput., 428:127193, 2022.
• The maximum average connectivity among all orientations of a graph, R.M. Casablanca, P. Dankelmann, wg, L. Mol, and O.R. Oellermann. J. Combin. Optim., 43:543-570, 2022.
• Well-hued graphs, wg, K. Kuenzel, and E. Melville. Discrete App. Math., 320:370-380, 2022.
• Bipartite domination in graphs, A. Bachstein, wg, and M.A. Henning. Math. Pannon. (N.S.), 28:118-126, 2022.
• Independent domination in outerplanar graphs, wg and M.A. Henning. Discrete App. Math., 325:52-57, 2023.
• The lower bipartite number of a graph, A. Bachstein and wg. Math. Pannon. (N.S.), 29:49-56, 2023.
• Graphs with unique minimum specified domination sets, wg and M.A. Henning. Graphs Combin., 39:103, 2023.
• The fully weighted toughness of a graph, wg and J. VanLandingham. Discrete Applied Math., 343:82-90, 2024.
• Coloring graphs to produce walks without forbidden repeats, wg and D. LaVey. Bull. Inst. Combin. Appl., 100:93-110, 2024.
• On total isolation in graphs, G. Boyer, wg, and M.A. Henning. Aequat. Math., 2024.
• Domination parameters and the removal of matchings, G. Boyer, wg, and M.A. Henning. Appl. Math. Comp., 476:128752, 2024.
• On the extremal values of weighted integrity, wg and J. VanLandingham. J. Interconnection Networks, page Art. 2350019, 2024.
• Disjoint isolating sets and graphs with maximum isolation number, G. Boyer and wg. Discrete Appl. Math., 356:110-116, 2024.
• Cycle-compelling colorings of graphs, A. Bachstein, wg, and J. Xue. In F. Hoffman et al., editor, Combinatorics, Graph Theory and Computing (SEICCGTC 2021), pages 215-222. Springer, 2024.
• The packing number of cubic graphs, wg and M.A. Henning. Discrete Optim., 53, 2024. 100850.
• Illuminating a graph, wg and D. LaVey. Ars Combin., 160:13-19, 2024.
• Domination of graphs and the removal of a matching, G. Boyer and wg. Discuss. Math. Graph Theory, 45:49-65, 2025.
• Bounds on independent isolation in graphs, G. Boyer and wg. Discrete Appl. Math., 372:143-149, 2025.
• Domination parameters and added matchings, wg and M.A. Henning. Aequat. Math., pages 1-16, 2025.