Mol, Lucas; Murphy, Matthew J. H.; Oellermann, Ortrud R. The threshold dimension and irreducible graphs. (English) Zbl 1504.05081 Discuss. Math., Graph Theory 43, No. 1, 195-210 (2023). Reviewer: Ioan Tomescu (Bucureşti) MSC: 05C12 05C69 PDFBibTeX XMLCite \textit{L. Mol} et al., Discuss. Math., Graph Theory 43, No. 1, 195--210 (2023; Zbl 1504.05081) Full Text: DOI arXiv
Casablanca, Rocío M.; Dankelmann, Peter; Goddard, Wayne; Mol, Lucas; Oellermann, Ortrud The maximum average connectivity among all orientations of a graph. (English) Zbl 1491.05115 J. Comb. Optim. 43, No. 3, 543-570 (2022). Reviewer: Yilun Shang (Newcastle) MSC: 05C40 05C10 05C35 PDFBibTeX XMLCite \textit{R. M. Casablanca} et al., J. Comb. Optim. 43, No. 3, 543--570 (2022; Zbl 1491.05115) Full Text: DOI arXiv Link
Benakli, Nadia; Bong, Novi H.; Dueck (Gosselin), Shonda; Novick, Beth; Oellermann, Ortrud R. The threshold dimension and threshold strong dimension of a graph: a survey. (English) Zbl 1482.05081 Ferrero, Daniela (ed.) et al., Research trends in graph theory and applications. Based on the workshop for women in graph theory and applications, University of Minnesota, Minneapolis, MN, USA, August 19–23, 2019. Cham: Springer. Assoc. Women Math. Ser. 25, 73-98 (2021). MSC: 05C12 05C40 PDFBibTeX XMLCite \textit{N. Benakli} et al., Assoc. Women Math. Ser. 25, 73--98 (2021; Zbl 1482.05081) Full Text: DOI
Benakli, Nadia; Bong, Novi H.; Dueck, Shonda; Eroh, Linda; Novick, Beth; Oellermann, Ortrud R. The threshold strong dimension of a graph. (English) Zbl 1466.05106 Discrete Math. 344, No. 7, Article ID 112402, 16 p. (2021). MSC: 05C38 05C12 05C35 PDFBibTeX XMLCite \textit{N. Benakli} et al., Discrete Math. 344, No. 7, Article ID 112402, 16 p. (2021; Zbl 1466.05106) Full Text: DOI arXiv
Casablanca, Rocío M.; Mol, Lucas; Oellermann, Ortrud R. Average connectivity of minimally 2-connected graphs and average edge-connectivity of minimally 2-edge-connected graphs. (English) Zbl 1454.05062 Discrete Appl. Math. 289, 233-247 (2021). MSC: 05C40 PDFBibTeX XMLCite \textit{R. M. Casablanca} et al., Discrete Appl. Math. 289, 233--247 (2021; Zbl 1454.05062) Full Text: DOI arXiv
Mol, Lucas; Murphy, Matthew J. H.; Oellermann, Ortrud R. The threshold dimension of a graph. (English) Zbl 1450.05020 Discrete Appl. Math. 287, 118-133 (2020). Reviewer: Ioan Tomescu (Bucureşti) MSC: 05C12 05C05 05C76 PDFBibTeX XMLCite \textit{L. Mol} et al., Discrete Appl. Math. 287, 118--133 (2020; Zbl 1450.05020) Full Text: DOI arXiv
Balodis, Kristaps J.; Mol, Lucas; Oellermann, Ortrud R.; Kroeker, Matthew E. On the mean order of connected induced subgraphs of block graphs. (English) Zbl 1439.05123 Australas. J. Comb. 76, Part 1, 128-148 (2020). MSC: 05C40 05C51 PDFBibTeX XMLCite \textit{K. J. Balodis} et al., Australas. J. Comb. 76, Part 1, 128--148 (2020; Zbl 1439.05123) Full Text: arXiv Link
Kroeker, Matthew E.; Mol, Lucas; Oellermann, Ortrud R. On the mean connected induced subgraph order of cographs. (English) Zbl 1404.05103 Australas. J. Comb. 71, 1, 161-183 (2018). MSC: 05C40 PDFBibTeX XMLCite \textit{M. E. Kroeker} et al., Australas. J. Comb. 71, 161--183 (2018; Zbl 1404.05103) Full Text: arXiv Link
van Aardt, Susan A.; Dunbar, Jean E.; Frick, Marietjie; Oellermann, Ortrud R.; de Wet, Johan P. On Saito’s conjecture and the Oberly-Sumner conjectures. (English) Zbl 1371.05152 Graphs Comb. 33, No. 4, 583-594 (2017). MSC: 05C38 05C45 05C40 PDFBibTeX XMLCite \textit{S. A. van Aardt} et al., Graphs Comb. 33, No. 4, 583--594 (2017; Zbl 1371.05152) Full Text: DOI
Moravcik, Gaia; Oellermann, Ortrud R.; Yusim, Samuel Comparing the metric and strong dimensions of graphs. (English) Zbl 1355.05100 Discrete Appl. Math. 220, 68-79 (2017). MSC: 05C12 PDFBibTeX XMLCite \textit{G. Moravcik} et al., Discrete Appl. Math. 220, 68--79 (2017; Zbl 1355.05100) Full Text: DOI
Lafrance, Philip; Oellermann, Ortrud R.; Pressey, Timothy Reconstructing trees from digitally convex sets. (English) Zbl 1350.05017 Discrete Appl. Math. 216, Part 1, 254-260 (2017). MSC: 05C05 05C60 PDFBibTeX XMLCite \textit{P. Lafrance} et al., Discrete Appl. Math. 216, Part 1, 254--260 (2017; Zbl 1350.05017) Full Text: DOI
Borchert, Adam; Nicol, Skylar; Oellermann, Ortrud R. Global cycle properties in graphs with large minimum clustering coefficient. (English) Zbl 1422.05056 Quaest. Math. 39, No. 8, 1047-1070 (2016). MSC: 05C38 PDFBibTeX XMLCite \textit{A. Borchert} et al., Quaest. Math. 39, No. 8, 1047--1070 (2016; Zbl 1422.05056) Full Text: DOI arXiv
Lafrance, Philip; Oellermann, Ortrud R.; Pressey, Timothy Generating and enumerating digitally convex sets of trees. (English) Zbl 1338.05042 Graphs Comb. 32, No. 2, 721-732 (2016). MSC: 05C05 05C69 PDFBibTeX XMLCite \textit{P. Lafrance} et al., Graphs Comb. 32, No. 2, 721--732 (2016; Zbl 1338.05042) Full Text: DOI
Borchert, Adam; Nicol, Skylar; Oellermann, Ortrud R. Global cycle properties of locally isometric graphs. (English) Zbl 1333.05173 Discrete Appl. Math. 205, 16-26 (2016). MSC: 05C45 05C38 05C12 05C07 PDFBibTeX XMLCite \textit{A. Borchert} et al., Discrete Appl. Math. 205, 16--26 (2016; Zbl 1333.05173) Full Text: DOI arXiv
Ramírez-Cruz, Yunior; Oellermann, Ortrud R.; Rodríguez-Velázquez, Juan A. The simultaneous metric dimension of graph families. (English) Zbl 1327.05186 Discrete Appl. Math. 198, 241-250 (2016). MSC: 05C40 05C05 68Q17 PDFBibTeX XMLCite \textit{Y. Ramírez-Cruz} et al., Discrete Appl. Math. 198, 241--250 (2016; Zbl 1327.05186) Full Text: DOI arXiv
Brown, Jason I.; Oellermann, Ortrud R. On the spectrum and number of convex sets in graphs. (English) Zbl 1309.05116 Discrete Math. 338, No. 7, 1144-1153 (2015). MSC: 05C50 05C30 05C80 PDFBibTeX XMLCite \textit{J. I. Brown} and \textit{O. R. Oellermann}, Discrete Math. 338, No. 7, 1144--1153 (2015; Zbl 1309.05116) Full Text: DOI
Ramírez-Cruz, Yunior; Oellermann, Ortrud R.; Rodríguez-Velázquez, Juan A. Simultaneous resolvability in graph families. (English) Zbl 1338.05223 Rodríguez Velázques, Juan Alberto (ed.) et al., Extended abstracts of the IX “Jornadas de matemática discreta y algorítmica” (JMDA), Tarragona, Spain, July 7–9, 2014. Amsterdam: Elsevier. Electronic Notes in Discrete Mathematics 46, 241-248, electronic only (2014). MSC: 05C75 05C12 PDFBibTeX XMLCite \textit{Y. Ramírez-Cruz} et al., Electron. Notes Discrete Math. 46, 241--248 (2014; Zbl 1338.05223) Full Text: DOI
Brown, Jason; Oellermann, Ortrud R. Graphs with a minimal number of convex sets. (English) Zbl 1306.05041 Graphs Comb. 30, No. 6, 1383-1397 (2014). MSC: 05C12 05C75 05C35 PDFBibTeX XMLCite \textit{J. Brown} and \textit{O. R. Oellermann}, Graphs Comb. 30, No. 6, 1383--1397 (2014; Zbl 1306.05041) Full Text: DOI
Rodríguez-Velázquez, Juan A.; Yero, Ismael G.; Kuziak, Dorota; Oellermann, Ortrud R. On the strong metric dimension of Cartesian and direct products of graphs. (English) Zbl 1298.05280 Discrete Math. 335, 8-19 (2014). MSC: 05C76 05C75 PDFBibTeX XMLCite \textit{J. A. Rodríguez-Velázquez} et al., Discrete Math. 335, 8--19 (2014; Zbl 1298.05280) Full Text: DOI arXiv
Nielsen, Morten H.; Oellermann, Ortrud R. Separation properties of 3-Steiner and 3-monophonic convexity in graphs. (English) Zbl 1252.05045 Discrete Math. 312, No. 22, 3293-3305 (2012). MSC: 05C10 05C05 52A99 PDFBibTeX XMLCite \textit{M. H. Nielsen} and \textit{O. R. Oellermann}, Discrete Math. 312, No. 22, 3293--3305 (2012; Zbl 1252.05045) Full Text: DOI
Nielsen, Morten H.; Oellermann, Ortrud R. Helly theorems for 3-Steiner and 3-monophonic convexity in graphs. (English) Zbl 1223.05158 Discrete Math. 311, No. 10-11, 872-880 (2011). MSC: 05C40 05C38 05C70 05C05 PDFBibTeX XMLCite \textit{M. H. Nielsen} and \textit{O. R. Oellermann}, Discrete Math. 311, No. 10--11, 872--880 (2011; Zbl 1223.05158) Full Text: DOI
van Aardt, Susan A.; Dunbar, Jean E.; Frick, Marietjie; Katrenič, Peter; Nielsen, Morten H.; Oellermann, Ortrud R. Traceability of \(k\)-traceable oriented graphs. (English) Zbl 1195.05030 Discrete Math. 310, No. 8, 1325-1333 (2010). MSC: 05C20 PDFBibTeX XMLCite \textit{S. A. van Aardt} et al., Discrete Math. 310, No. 8, 1325--1333 (2010; Zbl 1195.05030) Full Text: DOI
Cáceres, Jóse; Oellermann, Ortrud R. On 3-Steiner simplicial orderings. (English) Zbl 1221.05042 Discrete Math. 309, No. 19, 5828-5833 (2009). MSC: 05C05 PDFBibTeX XMLCite \textit{J. Cáceres} and \textit{O. R. Oellermann}, Discrete Math. 309, No. 19, 5828--5833 (2009; Zbl 1221.05042) Full Text: DOI
Henning, Michael A.; Nielsen, Morten H.; Oellermann, Ortrud R. Local Steiner convexity. (English) Zbl 1205.05191 Eur. J. Comb. 30, No. 5, 1186-1193 (2009). MSC: 05C75 05C12 PDFBibTeX XMLCite \textit{M. A. Henning} et al., Eur. J. Comb. 30, No. 5, 1186--1193 (2009; Zbl 1205.05191) Full Text: DOI
Eroh, Linda; Oellermann, Ortrud R. Geodetic and Steiner geodetic sets in 3-Steiner distance hereditary graphs. (English) Zbl 1156.05017 Discrete Math. 308, No. 18, 4212-4220 (2008). Reviewer: Frank Plastria (Brussels) MSC: 05C12 PDFBibTeX XMLCite \textit{L. Eroh} and \textit{O. R. Oellermann}, Discrete Math. 308, No. 18, 4212--4220 (2008; Zbl 1156.05017) Full Text: DOI
Oellermann, Ortrud R.; Peters-Fransen, Joel The strong metric dimension of graphs and digraphs. (English) Zbl 1111.05030 Discrete Appl. Math. 155, No. 3, 356-364 (2007). MSC: 05C12 05C20 05C85 05C90 PDFBibTeX XMLCite \textit{O. R. Oellermann} and \textit{J. Peters-Fransen}, Discrete Appl. Math. 155, No. 3, 356--364 (2007; Zbl 1111.05030) Full Text: DOI
Oellermann, Ortrud R.; Puertas, María Luz Steiner intervals and Steiner geodetic numbers in distance-hereditary graphs. (English) Zbl 1113.05030 Discrete Math. 307, No. 1, 88-96 (2007). Reviewer: Ján Plesník (Bratislava) MSC: 05C12 05C05 05C38 52B40 PDFBibTeX XMLCite \textit{O. R. Oellermann} and \textit{M. L. Puertas}, Discrete Math. 307, No. 1, 88--96 (2007; Zbl 1113.05030) Full Text: DOI
Fehr, Melodie; Gosselin, Shonda; Oellermann, Ortrud R. The metric dimension of Cayley digraphs. (English) Zbl 1085.05034 Discrete Math. 306, No. 1, 31-41 (2006). MSC: 05C25 05C20 05C12 90C05 90C10 PDFBibTeX XMLCite \textit{M. Fehr} et al., Discrete Math. 306, No. 1, 31--41 (2006; Zbl 1085.05034) Full Text: DOI
Cáceres, José; Márquez, Alberto; Oellermann, Ortrud R.; Puertas, María Luz Rebuilding convex sets in graphs. (English) Zbl 1070.05035 Discrete Math. 297, No. 1-3, 26-37 (2005). MSC: 05C12 05C75 PDFBibTeX XMLCite \textit{J. Cáceres} et al., Discrete Math. 297, No. 1--3, 26--37 (2005; Zbl 1070.05035) Full Text: DOI Link
Henning, Michael A.; Oellermann, Ortrud R. The average connectivity of a digraph. (English) Zbl 1047.05024 Discrete Appl. Math. 140, No. 1-3, 143-153 (2004). Reviewer: Ján Plesník (Bratislava) MSC: 05C40 05C20 05C05 68R10 PDFBibTeX XMLCite \textit{M. A. Henning} and \textit{O. R. Oellermann}, Discrete Appl. Math. 140, No. 1--3, 143--153 (2004; Zbl 1047.05024) Full Text: DOI
Eroh, Linda; Oellermann, Ortrud R. Bipartite rainbow Ramsey numbers. (English) Zbl 1036.05032 Discrete Math. 277, No. 1-3, 57-72 (2004). Reviewer: Gregory Loren McColm (Tampa) MSC: 05C55 PDFBibTeX XMLCite \textit{L. Eroh} and \textit{O. R. Oellermann}, Discrete Math. 277, No. 1--3, 57--72 (2004; Zbl 1036.05032) Full Text: DOI
Henning, Michael A.; Oellermann, Ortrud R. On upper domination Ramsey numbers for graphs. (English) Zbl 1037.05034 Discrete Math. 274, No. 1-3, 125-135 (2004). Reviewer: Jack E. Graver (Syracuse) MSC: 05C55 PDFBibTeX XMLCite \textit{M. A. Henning} and \textit{O. R. Oellermann}, Discrete Math. 274, No. 1--3, 125--135 (2004; Zbl 1037.05034) Full Text: DOI
Dankelmann, Peter; Oellermann, Ortrud R. Bounds on the average connectivity of a graph. (English) Zbl 1021.05062 Discrete Appl. Math. 129, No. 2-3, 305-318 (2003). Reviewer: Jun-Ming Xu (Hefei) MSC: 05C40 05C35 PDFBibTeX XMLCite \textit{P. Dankelmann} and \textit{O. R. Oellermann}, Discrete Appl. Math. 129, No. 2--3, 305--318 (2003; Zbl 1021.05062) Full Text: DOI
Oellermann, Ortrud R. On Steiner centers and Steiner medians of graphs. (English) Zbl 0968.05027 Networks 34, No. 4, 258-263 (1999). MSC: 05C12 90C35 90B10 05C05 PDFBibTeX XMLCite \textit{O. R. Oellermann}, Networks 34, No. 4, 258--263 (1999; Zbl 0968.05027) Full Text: DOI
Day, D. P.; Oellermann, Ortrud R.; Swart, Henda C. Bounds on the size of graphs of given order and \(l\)-connectivity. (English) Zbl 0927.05051 Discrete Math. 197-198, 217-223 (1999). Reviewer: P.Horák (Safat) MSC: 05C40 05C35 PDFBibTeX XMLCite \textit{D. P. Day} et al., Discrete Math. 197--198, 217--223 (1999; Zbl 0927.05051) Full Text: DOI
Kubicka, Ewa; Kubicki, Grzegorz; Oellermann, Ortrud R. Steiner intervals in graphs. (English) Zbl 0898.05044 Discrete Appl. Math. 81, No. 1-3, 181-190 (1998). Reviewer: B.Zelinka (Liberec) MSC: 05C38 05C05 PDFBibTeX XMLCite \textit{E. Kubicka} et al., Discrete Appl. Math. 81, No. 1--3, 181--190 (1998; Zbl 0898.05044) Full Text: DOI Link
Harary, F.; Oellermann, O. R. The irregularity cost of a graph. (English) Zbl 0901.05086 Comput. Math. Appl. 34, No. 11, 59-63 (1997). Reviewer: A.A.Makhnev (Ekaterinburg) MSC: 05C99 PDFBibTeX XMLCite \textit{F. Harary} and \textit{O. R. Oellermann}, Comput. Math. Appl. 34, No. 11, 59--63 (1997; Zbl 0901.05086) Full Text: DOI
Dankelmann, Peter; Swart, Henda C.; Oellermann, Ortrud R. On the average Steiner distance of graphs with presribed properties. (English) Zbl 0884.05040 Discrete Appl. Math. 79, No. 1-3, 91-103 (1997). Reviewer: Ján Plesník (Bratislava) MSC: 05C12 PDFBibTeX XMLCite \textit{P. Dankelmann} et al., Discrete Appl. Math. 79, No. 1--3, 91--103 (1997; Zbl 0884.05040) Full Text: DOI Link
Beineke, Lowell W.; Oellermann, Ortrud R.; Pippert, Raymond E. On the Steiner median of a tree. (English) Zbl 0858.05033 Discrete Appl. Math. 68, No. 3, 249-258 (1996). Reviewer: D.Cieslik (Greifswald) MSC: 05C05 05C12 PDFBibTeX XMLCite \textit{L. W. Beineke} et al., Discrete Appl. Math. 68, No. 3, 249--258 (1996; Zbl 0858.05033) Full Text: DOI
Fricke, Gerd H.; Henning, Michael A.; Oellermann, Ortrud R.; Swart, Henda C. An algorithm to find two distance domination parameters in a graph. (English) Zbl 0848.05040 Discrete Appl. Math. 68, No. 1-2, 85-91 (1996). Reviewer: B.Zelinka (Liberec) MSC: 05C35 05C12 05C85 PDFBibTeX XMLCite \textit{G. H. Fricke} et al., Discrete Appl. Math. 68, No. 1--2, 85--91 (1996; Zbl 0848.05040) Full Text: DOI
Henning, Michael A.; Oellermann, Ortrud R.; Swart, Henda C. The diversity of domination. (English) Zbl 0870.05034 Discrete Math. 161, No. 1-3, 161-173 (1996). MSC: 05C35 PDFBibTeX XMLCite \textit{M. A. Henning} et al., Discrete Math. 161, No. 1--3, 161--173 (1996; Zbl 0870.05034) Full Text: DOI
Goddard, Wayne; Oellermann, Ortrud R.; Swart, Henda C. Steiner distance stable graphs. (English) Zbl 0809.05042 Discrete Math. 132, No. 1-3, 65-73 (1994). Reviewer: F.Gliviak (Bratislava) MSC: 05C12 05C85 68Q25 PDFBibTeX XMLCite \textit{W. Goddard} et al., Discrete Math. 132, No. 1--3, 65--73 (1994; Zbl 0809.05042) Full Text: DOI
Day, D. P.; Oellermann, Ortrud R.; Swart, Henda C. On the \(l\)-connectivity of a digraph. (English) Zbl 0797.05050 Discrete Math. 127, No. 1-3, 95-104 (1994). Reviewer: M.E.Watkins (Syracuse) MSC: 05C20 05C40 PDFBibTeX XMLCite \textit{D. P. Day} et al., Discrete Math. 127, No. 1--3, 95--104 (1994; Zbl 0797.05050) Full Text: DOI
Harary, Frank; Jacobson, Michael S.; Kubicka, Ewa; Kubicki, Grzegorz; Oellermann, Ortrud R. The irregularity cost or sum of a graph. (English) Zbl 0780.05052 Appl. Math. Lett. 6, No. 3, 79-80 (1993). Reviewer: L.Lesniak Foster (Madison) MSC: 05C99 PDFBibTeX XMLCite \textit{F. Harary} et al., Appl. Math. Lett. 6, No. 3, 79--80 (1993; Zbl 0780.05052) Full Text: DOI
Oellermann, Ortrud R. Steiner numbers in graphs. (English) Zbl 0707.05037 Quaest. Math. 13, No. 2, 159-164 (1990). MSC: 05C35 05C05 PDFBibTeX XMLCite \textit{O. R. Oellermann}, Quaest. Math. 13, No. 2, 159--164 (1990; Zbl 0707.05037) Full Text: DOI
Chartrand, Gary; Oellermann, Ortrud R.; Saba, Farrokh; Zou, Hung Bin Greatest common subgroups with specified properties. (English) Zbl 0672.05045 Graphs Comb. 5, No. 1, 1-14 (1989). MSC: 05C35 PDFBibTeX XMLCite \textit{G. Chartrand} et al., Graphs Comb. 5, No. 1, 1--14 (1989; Zbl 0672.05045) Full Text: DOI
Alavi, Yousef; Chartrand, Gary; Oellermann, Ortrud R.; Lesniak, Linda Bipartite regulation numbers. (English) Zbl 0613.05029 Discrete Math. 62, 113-118 (1986). Reviewer: S.Stahl MSC: 05C35 PDFBibTeX XMLCite \textit{Y. Alavi} et al., Discrete Math. 62, 113--118 (1986; Zbl 0613.05029) Full Text: DOI