Edit Profile (opens in new tab) Breen, Marilyn Co-Author Distance Author ID: breen.marilyn Published as: Breen, Marilyn; Breen, Marylin External Links: MGP · Wikidata Documents Indexed: 155 Publications since 1972 1 Contribution as Editor Co-Authors: 2 Co-Authors with 3 Joint Publications 79 Co-Co-Authors Co-Authors 152 single-authored 2 Kay, David C. 1 Molchanov, Vladimir A. 1 Trokhimenko, Valentin Stepanovich 1 Zamfirescu, Tudor I. all top 5 Serials 22 Journal of Geometry 16 Proceedings of the American Mathematical Society 14 Geometriae Dedicata 12 Aequationes Mathematicae 11 Pacific Journal of Mathematics 10 Israel Journal of Mathematics 9 Ars Combinatoria 9 JCMCC. The Journal of Combinatorial Mathematics and Combinatorial Computing 8 Beiträge zur Algebra und Geometrie 8 Archiv der Mathematik 6 Canadian Journal of Mathematics 6 Advances in Geometry 4 Periodica Mathematica Hungarica 4 Monatshefte für Mathematik 3 Discrete Mathematics 2 International Journal of Mathematics and Mathematical Sciences 1 Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica 1 Journal of the London Mathematical Society. Second Series 1 Revista de la Unión Matemática Argentina 1 Note di Matematica 1 Lecture Notes in Pure and Applied Mathematics 1 International Mathematical Forum all top 5 Fields 155 Convex and discrete geometry (52-XX) 7 Combinatorics (05-XX) 1 General and overarching topics; collections (00-XX) 1 History and biography (01-XX) 1 Functional analysis (46-XX) 1 Geometry (51-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 95 Publications have been cited 311 times in 118 Documents Cited by ▼ Year ▼ A Krasnosel’skii-type theorem for points of local nonconvexity. Zbl 0496.52006 Breen, Marilyn 17 1982 An improved Krasnosel’skij type theorem for orthogonal polygons which are starshaped via staircase paths. Zbl 0815.52005 Breen, Marilyn 14 1994 The dimension of kernel of a planar set. Zbl 0377.52008 Breen, Marilyn 13 1979 General decomposition theorems for m-convex sets in the plane. Zbl 0342.52006 Breen, Marilyn; Kay, David C. 13 1976 Staircase kernels in orthogonal polygons. Zbl 0789.52011 Breen, Marylin 12 1992 Primitive Radon partitions for cyclic polytopes. Zbl 0266.52004 Breen, Marilyn 9 1973 Starshaped unions and nonempty intersections of convex sets in \({\mathbb{R}}^ d\). Zbl 0691.52006 Breen, Marilyn 9 1990 Characterizing certain staircase convex sets in \(\mathbb R^d\). Zbl 1204.52008 Breen, Marilyn 9 2010 Clear visibility and the dimension of kernels of starshaped sets. Zbl 0496.52007 Breen, Marilyn 8 1982 A Helly-type theorem for countable intersections of starshaped sets. Zbl 1080.52006 Breen, Marilyn 7 2005 Clear visibility, starshaped sets, and finitely starlike sets. Zbl 0507.52007 Breen, Marilyn 7 1982 A Helly theorem for intersections of orthogonally starshaped sets. Zbl 1034.52006 Breen, Marilyn 6 2003 Points of local nonconvexity and sets which are almost starshaped. Zbl 0511.52004 Breen, Marilyn 6 1982 A Krasnosel’skij theorem for staircase paths in orthogonal polygons. Zbl 0815.52004 Breen, Marilyn 5 1994 A decomposition theorem for m-convex sets. Zbl 0342.52005 Breen, Marilyn 5 1976 Improved Krasnosel’skij theorems for the dimension of the kernel of a starshaped set. Zbl 0611.52006 Breen, Marilyn 5 1986 A Krasnosel’skij-type theorem for unions of two starshaped sets in the plane. Zbl 0571.52006 Breen, Marilyn 5 1985 Krasnosel’skii-type theorems. Zbl 0572.52017 Breen, Marilyn 5 1985 Points of local nonconvexity, clear visibility, and starshaped sets in \(R^ n\). Zbl 0525.52011 Breen, Marilyn 5 1983 Clear visibility and unions of two starshaped sets. Zbl 0501.52008 Breen, Marilyn 5 1984 A Helly-type theorem for intersections of compact connected sets in the plane. Zbl 0911.52005 Breen, Marilyn 4 1998 Decomposition theorems for 3-convex subsets of the plane. Zbl 0287.52003 Breen, Marilyn 4 1974 k-dimensional intersections of convex sets and convex kernels. Zbl 0464.52005 Breen, Marilyn 4 1981 Tilings whose members have finitely many neighbors. Zbl 0585.52006 Breen, Marilyn 4 1985 A characterization theorem for bounded starshaped sets in the plane. Zbl 0572.52016 Breen, Marilyn 4 1985 A Krasnosel’skii-type theorem for nonclosed sets in the plane. Zbl 0503.52007 Breen, Marilyn 4 1982 Suitable families of boxes and kernels of staircase starshaped sets in \(\mathbb{R}^d\). Zbl 1314.52007 Breen, Marilyn 4 2014 A helly-type theorem for the dimension of the kernel of a starshaped set. Zbl 0371.52002 Breen, Marilyn 3 1979 A Helly-type theorem for simple polygons. Zbl 0854.52001 Breen, Marilyn 3 1996 Helly-type theorems for infinite and for finite intersections of sets starshaped via staircase paths. Zbl 1180.52012 Breen, Marilyn 3 2008 Generating the kernel of a staircase starshaped set from certain staircase convex subsets. Zbl 1299.52009 Breen, Marilyn 3 2012 A note concerning kernels of staircase starshaped sets in \({\mathbb R}^d\). Zbl 1335.52017 Breen, Marilyn 3 2015 An improved Krasnosel’skii theorem for nonclosed sets in the plane. Zbl 0525.52010 Breen, Marilyn 3 1983 A characterization theorem for tilings having countably many singular points. Zbl 0539.52014 Breen, Marilyn 3 1983 Generating a staircase starshaped set from a minimal collection of its subsets. Zbl 1232.52007 Breen, Marilyn 3 2011 Generating a staircase starshaped set and its kernel in \({{\mathbb R}^3}\) from certain staircase convex subsets. Zbl 1258.52003 Breen, Marilyn 3 2012 A Helly-type theorem for intersections of orthogonally starshaped sets in \(\mathbb R^d\). Zbl 1299.52010 Breen, Marilyn 3 2014 Unions of orthogonally convex or orthogonally starshaped polygons. Zbl 0814.52002 Breen, Marilyn 2 1994 Maximal visibility and unions of orthogonally starshaped sets. Zbl 1223.52004 Breen, Marilyn 2 2005 A Helly theorem for intersections of sets starshaped via staircase \(n\)-paths. Zbl 1157.52303 Breen, Marilyn 2 2006 Intersections and unions of orthogonal polygons starshaped via staircase \(n\)-paths. Zbl 1134.52007 Breen, Marilyn 2 2006 Families of planar sets having starlike union. Zbl 0958.52009 Breen, Marilyn 2 1999 The dimension of the kernel in an intersection of starshaped sets. Zbl 1044.52004 Breen, Marilyn 2 2003 A Krasnosel’skii-type theorem for paths of bounded length. Zbl 0865.52006 Breen, Marilyn 2 1997 \(k\)-partitions and a characterization for compact unions of \(k\) starshaped sets. Zbl 0644.52004 Breen, Marilyn 2 1988 Some Krasnosel’skij numbers for finitely starlike sets in the plane. Zbl 0651.52009 Breen, Marilyn 2 1988 j-partitions for visible shorelines. Zbl 0662.52004 Breen, Marilyn 2 1988 \(\mathcal L_2\) sets which are almost starshaped. Zbl 0373.52006 Breen, Marilyn 2 1977 A quantitative version of Krasnosel’skii’s theorem in \(R^2\). Zbl 0423.52006 Breen, Marilyn 2 1980 Determining a polytope by Radon partitions. Zbl 0221.52003 Breen, Marilyn 2 1972 The combinatorial structure of (\(m,n\))-convex sets. Zbl 0271.52001 Breen, Marilyn 2 1973 Points of local nonconvexity and finite unions of convex sets. Zbl 0283.52003 Breen, Marilyn 2 1975 An \(R^d\) analogue of Valentine’s theorem on 3-convex sets. Zbl 0342.52007 Breen, Marilyn 2 1976 A Krasnosel’skii theorem for nonclosed sets in \({\mathbb{R}}^ d\). Zbl 0588.52009 Breen, Marilyn 2 1986 A characterization theorem for compact unions of two starshaped sets in \({\mathbb R}^ 3\). Zbl 0588.52010 Breen, Marilyn 2 1987 A characterization theorem for certain unions of two starshaped sets in \({\mathbb{R}}^ 2\). Zbl 0611.52007 Breen, Marilyn; Zamfirescu, Tudor 2 1987 Increasing unions of starlike sets. Zbl 0614.52007 Breen, Marilyn 2 1987 Staircase convex results for a certain class of orthogonal polytopes. Zbl 1331.52012 Breen, Marilyn 2 2015 A Krasnosel’skii-type theorem for an enlarged class of orthogonal polytopes. Zbl 1410.52005 Breen, Marilyn 2 2017 An enlarged class of orthogonal polytopes having staircase convex kernels. Zbl 1372.52015 Breen, Marilyn 2 2017 Some tilings of the plane whose singular points form a perfect set. Zbl 0525.52015 Breen, Marilyn 2 1983 Some tilings of the plane whose singular points are uncountable and unbounded. Zbl 0552.52009 Breen, Marilyn 2 1984 A Krasnosel’skii theorem for orthogonal polygons starshaped via staircase \((n + 1)\)-paths. Zbl 1298.52008 Breen, Marilyn 2 2010 Finitely starlike sets whose F-stars have positive measure. Zbl 0691.52005 Breen, Marilyn 2 1989 A weak Krasnosel’skij theorem in \({\mathbb{R}}^ d\). Zbl 0691.52007 Breen, Marilyn 2 1988 An intersection property for starshaped sets in the plane. Zbl 0719.52005 Breen, Marilyn 2 1991 A family of examples showing that no Krasnosel’skii number exists for orthogonal polygons starshaped via staircase \(n\)-paths. Zbl 1185.52003 Breen, Marilyn 2 2009 Dimensions of staircase kernels in orthogonal polygons. Zbl 0841.52006 Breen, Marilyn 1 1994 Planar compact sets whose intersections are starshaped via orthogonally convex paths. Zbl 1147.52003 Breen, Marilyn 1 2008 Characterizing compact unions of two starshaped sets in \({\mathbb{R}}^ d\). Zbl 0678.52006 Breen, Marilyn 1 1989 Sets in \(R^d\) having (\(d-2\))-dimensional kernels. Zbl 0369.52011 Breen, Marilyn 1 1978 Sets with (d-2)-dimensional kernels. Zbl 0386.52007 Breen, Marilyn 1 1978 (D-2)-extreme points and a Helly-type theorem for starshaped sets. Zbl 0411.52005 Breen, Marilyn 1 1980 A Krasnosel’skii-type result for planar sets starshaped via orthogonally convex paths. Zbl 1164.52002 Breen, Marilyn 1 2007 Staircase two-guard kernels of orthogonal polygons. Zbl 1012.52013 Breen, Marilyn 1 2001 A Helly-number for k-almost-neighborly sets. Zbl 0235.52010 Breen, Marilyn 1 1972 An example concerning unions of two starshaped sets in the plane. Zbl 0285.52004 Breen, Marilyn 1 1974 An n+1 member decomposition for sets whose Lnc points form n convex sets. Zbl 0301.52007 Breen, Marilyn 1 1975 Intersections of m-convex sets. Zbl 0301.52008 Breen, Marilyn 1 1975 Intersections of sets starshaped via paths of bounded length. Zbl 1033.52005 Breen, Marilyn 1 2003 Simply connected orthogonal polygons as unions of two orthogonally starshaped sets. Zbl 1090.52003 Breen, Marilyn 1 2005 Determining starshaped sets and unions of starshaped sets by their sections. Zbl 0616.52008 Breen, Marilyn 1 1987 A Krasnosel’skii-type theorem for certain orthogonal polytopes starshaped via \(k\)-staircase paths. Zbl 1437.52004 Breen, Marilyn 1 2020 The dimension of the kernel in finite and infinite intersections of starshaped sets. Zbl 1063.52001 Breen, Marilyn 1 2004 Staircase \(k\)-kernels for orthogonal polygons. Zbl 0742.52006 Breen, Marilyn 1 1994 Intersections of staircase convex sets in \({\mathbb{R}}^3\) and \({\mathbb{R}}^d\). Zbl 1490.52009 Breen, Marilyn 1 2022 Helly-type theorems for intersections of sets starshaped via orthogonally convex paths. Zbl 1276.52009 Breen, Marilyn 1 2012 Intersections of sets expressible as unions of \(k\) starshaped sets. Zbl 1413.52007 Breen, Marilyn 1 2016 Dual Helly-type theorems for unions of sets starshaped via staircase paths. Zbl 1313.52005 Breen, Marilyn 1 2013 Clear visibility and sets which are almost starshaped. Zbl 0521.52007 Breen, Marilyn 1 1984 Analogues of Horn’s theorem for finite unions of starshaped sets in \(\mathbb R^d\). Zbl 1224.52010 Breen, Marilyn 1 2009 Using chains of boxes to recognize staircase starshaped sets in \(\mathbb R^d\). Zbl 1316.52008 Breen, Marilyn 1 2014 Unions of three starshaped sets in \({\mathbb{R}}^ 2\). Zbl 0689.52002 Breen, Marilyn 1 1989 Admissible kernels for starshaped sets. Zbl 0476.52011 Breen, Marilyn 1 1981 A quantitative Krasnosel’skii theorem in \(R^ q\). Zbl 0481.52007 Breen, Marilyn 1 1982 Intersections of staircase convex sets in \({\mathbb{R}}^3\) and \({\mathbb{R}}^d\). Zbl 1490.52009 Breen, Marilyn 1 2022 A Krasnosel’skii-type theorem for certain orthogonal polytopes starshaped via \(k\)-staircase paths. Zbl 1437.52004 Breen, Marilyn 1 2020 A Krasnosel’skii-type theorem for an enlarged class of orthogonal polytopes. Zbl 1410.52005 Breen, Marilyn 2 2017 An enlarged class of orthogonal polytopes having staircase convex kernels. Zbl 1372.52015 Breen, Marilyn 2 2017 Intersections of sets expressible as unions of \(k\) starshaped sets. Zbl 1413.52007 Breen, Marilyn 1 2016 A note concerning kernels of staircase starshaped sets in \({\mathbb R}^d\). Zbl 1335.52017 Breen, Marilyn 3 2015 Staircase convex results for a certain class of orthogonal polytopes. Zbl 1331.52012 Breen, Marilyn 2 2015 Suitable families of boxes and kernels of staircase starshaped sets in \(\mathbb{R}^d\). Zbl 1314.52007 Breen, Marilyn 4 2014 A Helly-type theorem for intersections of orthogonally starshaped sets in \(\mathbb R^d\). Zbl 1299.52010 Breen, Marilyn 3 2014 Using chains of boxes to recognize staircase starshaped sets in \(\mathbb R^d\). Zbl 1316.52008 Breen, Marilyn 1 2014 Dual Helly-type theorems for unions of sets starshaped via staircase paths. Zbl 1313.52005 Breen, Marilyn 1 2013 Generating the kernel of a staircase starshaped set from certain staircase convex subsets. Zbl 1299.52009 Breen, Marilyn 3 2012 Generating a staircase starshaped set and its kernel in \({{\mathbb R}^3}\) from certain staircase convex subsets. Zbl 1258.52003 Breen, Marilyn 3 2012 Helly-type theorems for intersections of sets starshaped via orthogonally convex paths. Zbl 1276.52009 Breen, Marilyn 1 2012 Generating a staircase starshaped set from a minimal collection of its subsets. Zbl 1232.52007 Breen, Marilyn 3 2011 Characterizing certain staircase convex sets in \(\mathbb R^d\). Zbl 1204.52008 Breen, Marilyn 9 2010 A Krasnosel’skii theorem for orthogonal polygons starshaped via staircase \((n + 1)\)-paths. Zbl 1298.52008 Breen, Marilyn 2 2010 A family of examples showing that no Krasnosel’skii number exists for orthogonal polygons starshaped via staircase \(n\)-paths. Zbl 1185.52003 Breen, Marilyn 2 2009 Analogues of Horn’s theorem for finite unions of starshaped sets in \(\mathbb R^d\). Zbl 1224.52010 Breen, Marilyn 1 2009 Helly-type theorems for infinite and for finite intersections of sets starshaped via staircase paths. Zbl 1180.52012 Breen, Marilyn 3 2008 Planar compact sets whose intersections are starshaped via orthogonally convex paths. Zbl 1147.52003 Breen, Marilyn 1 2008 A Krasnosel’skii-type result for planar sets starshaped via orthogonally convex paths. Zbl 1164.52002 Breen, Marilyn 1 2007 A Helly theorem for intersections of sets starshaped via staircase \(n\)-paths. Zbl 1157.52303 Breen, Marilyn 2 2006 Intersections and unions of orthogonal polygons starshaped via staircase \(n\)-paths. Zbl 1134.52007 Breen, Marilyn 2 2006 A Helly-type theorem for countable intersections of starshaped sets. Zbl 1080.52006 Breen, Marilyn 7 2005 Maximal visibility and unions of orthogonally starshaped sets. Zbl 1223.52004 Breen, Marilyn 2 2005 Simply connected orthogonal polygons as unions of two orthogonally starshaped sets. Zbl 1090.52003 Breen, Marilyn 1 2005 The dimension of the kernel in finite and infinite intersections of starshaped sets. Zbl 1063.52001 Breen, Marilyn 1 2004 A Helly theorem for intersections of orthogonally starshaped sets. Zbl 1034.52006 Breen, Marilyn 6 2003 The dimension of the kernel in an intersection of starshaped sets. Zbl 1044.52004 Breen, Marilyn 2 2003 Intersections of sets starshaped via paths of bounded length. Zbl 1033.52005 Breen, Marilyn 1 2003 Staircase two-guard kernels of orthogonal polygons. Zbl 1012.52013 Breen, Marilyn 1 2001 Families of planar sets having starlike union. Zbl 0958.52009 Breen, Marilyn 2 1999 A Helly-type theorem for intersections of compact connected sets in the plane. Zbl 0911.52005 Breen, Marilyn 4 1998 A Krasnosel’skii-type theorem for paths of bounded length. Zbl 0865.52006 Breen, Marilyn 2 1997 A Helly-type theorem for simple polygons. Zbl 0854.52001 Breen, Marilyn 3 1996 An improved Krasnosel’skij type theorem for orthogonal polygons which are starshaped via staircase paths. Zbl 0815.52005 Breen, Marilyn 14 1994 A Krasnosel’skij theorem for staircase paths in orthogonal polygons. Zbl 0815.52004 Breen, Marilyn 5 1994 Unions of orthogonally convex or orthogonally starshaped polygons. Zbl 0814.52002 Breen, Marilyn 2 1994 Dimensions of staircase kernels in orthogonal polygons. Zbl 0841.52006 Breen, Marilyn 1 1994 Staircase \(k\)-kernels for orthogonal polygons. Zbl 0742.52006 Breen, Marilyn 1 1994 Staircase kernels in orthogonal polygons. Zbl 0789.52011 Breen, Marylin 12 1992 An intersection property for starshaped sets in the plane. Zbl 0719.52005 Breen, Marilyn 2 1991 Starshaped unions and nonempty intersections of convex sets in \({\mathbb{R}}^ d\). Zbl 0691.52006 Breen, Marilyn 9 1990 Finitely starlike sets whose F-stars have positive measure. Zbl 0691.52005 Breen, Marilyn 2 1989 Characterizing compact unions of two starshaped sets in \({\mathbb{R}}^ d\). Zbl 0678.52006 Breen, Marilyn 1 1989 Unions of three starshaped sets in \({\mathbb{R}}^ 2\). Zbl 0689.52002 Breen, Marilyn 1 1989 \(k\)-partitions and a characterization for compact unions of \(k\) starshaped sets. Zbl 0644.52004 Breen, Marilyn 2 1988 Some Krasnosel’skij numbers for finitely starlike sets in the plane. Zbl 0651.52009 Breen, Marilyn 2 1988 j-partitions for visible shorelines. Zbl 0662.52004 Breen, Marilyn 2 1988 A weak Krasnosel’skij theorem in \({\mathbb{R}}^ d\). Zbl 0691.52007 Breen, Marilyn 2 1988 A characterization theorem for compact unions of two starshaped sets in \({\mathbb R}^ 3\). Zbl 0588.52010 Breen, Marilyn 2 1987 A characterization theorem for certain unions of two starshaped sets in \({\mathbb{R}}^ 2\). Zbl 0611.52007 Breen, Marilyn; Zamfirescu, Tudor 2 1987 Increasing unions of starlike sets. Zbl 0614.52007 Breen, Marilyn 2 1987 Determining starshaped sets and unions of starshaped sets by their sections. Zbl 0616.52008 Breen, Marilyn 1 1987 Improved Krasnosel’skij theorems for the dimension of the kernel of a starshaped set. Zbl 0611.52006 Breen, Marilyn 5 1986 A Krasnosel’skii theorem for nonclosed sets in \({\mathbb{R}}^ d\). Zbl 0588.52009 Breen, Marilyn 2 1986 A Krasnosel’skij-type theorem for unions of two starshaped sets in the plane. Zbl 0571.52006 Breen, Marilyn 5 1985 Krasnosel’skii-type theorems. Zbl 0572.52017 Breen, Marilyn 5 1985 Tilings whose members have finitely many neighbors. Zbl 0585.52006 Breen, Marilyn 4 1985 A characterization theorem for bounded starshaped sets in the plane. Zbl 0572.52016 Breen, Marilyn 4 1985 Clear visibility and unions of two starshaped sets. Zbl 0501.52008 Breen, Marilyn 5 1984 Some tilings of the plane whose singular points are uncountable and unbounded. Zbl 0552.52009 Breen, Marilyn 2 1984 Clear visibility and sets which are almost starshaped. Zbl 0521.52007 Breen, Marilyn 1 1984 Points of local nonconvexity, clear visibility, and starshaped sets in \(R^ n\). Zbl 0525.52011 Breen, Marilyn 5 1983 An improved Krasnosel’skii theorem for nonclosed sets in the plane. Zbl 0525.52010 Breen, Marilyn 3 1983 A characterization theorem for tilings having countably many singular points. Zbl 0539.52014 Breen, Marilyn 3 1983 Some tilings of the plane whose singular points form a perfect set. Zbl 0525.52015 Breen, Marilyn 2 1983 A Krasnosel’skii-type theorem for points of local nonconvexity. Zbl 0496.52006 Breen, Marilyn 17 1982 Clear visibility and the dimension of kernels of starshaped sets. Zbl 0496.52007 Breen, Marilyn 8 1982 Clear visibility, starshaped sets, and finitely starlike sets. Zbl 0507.52007 Breen, Marilyn 7 1982 Points of local nonconvexity and sets which are almost starshaped. Zbl 0511.52004 Breen, Marilyn 6 1982 A Krasnosel’skii-type theorem for nonclosed sets in the plane. Zbl 0503.52007 Breen, Marilyn 4 1982 A quantitative Krasnosel’skii theorem in \(R^ q\). Zbl 0481.52007 Breen, Marilyn 1 1982 k-dimensional intersections of convex sets and convex kernels. Zbl 0464.52005 Breen, Marilyn 4 1981 Admissible kernels for starshaped sets. Zbl 0476.52011 Breen, Marilyn 1 1981 A quantitative version of Krasnosel’skii’s theorem in \(R^2\). Zbl 0423.52006 Breen, Marilyn 2 1980 (D-2)-extreme points and a Helly-type theorem for starshaped sets. Zbl 0411.52005 Breen, Marilyn 1 1980 The dimension of kernel of a planar set. Zbl 0377.52008 Breen, Marilyn 13 1979 A helly-type theorem for the dimension of the kernel of a starshaped set. Zbl 0371.52002 Breen, Marilyn 3 1979 Sets in \(R^d\) having (\(d-2\))-dimensional kernels. Zbl 0369.52011 Breen, Marilyn 1 1978 Sets with (d-2)-dimensional kernels. Zbl 0386.52007 Breen, Marilyn 1 1978 \(\mathcal L_2\) sets which are almost starshaped. Zbl 0373.52006 Breen, Marilyn 2 1977 General decomposition theorems for m-convex sets in the plane. Zbl 0342.52006 Breen, Marilyn; Kay, David C. 13 1976 A decomposition theorem for m-convex sets. Zbl 0342.52005 Breen, Marilyn 5 1976 An \(R^d\) analogue of Valentine’s theorem on 3-convex sets. Zbl 0342.52007 Breen, Marilyn 2 1976 Points of local nonconvexity and finite unions of convex sets. Zbl 0283.52003 Breen, Marilyn 2 1975 An n+1 member decomposition for sets whose Lnc points form n convex sets. Zbl 0301.52007 Breen, Marilyn 1 1975 Intersections of m-convex sets. Zbl 0301.52008 Breen, Marilyn 1 1975 Decomposition theorems for 3-convex subsets of the plane. Zbl 0287.52003 Breen, Marilyn 4 1974 An example concerning unions of two starshaped sets in the plane. Zbl 0285.52004 Breen, Marilyn 1 1974 Primitive Radon partitions for cyclic polytopes. Zbl 0266.52004 Breen, Marilyn 9 1973 The combinatorial structure of (\(m,n\))-convex sets. Zbl 0271.52001 Breen, Marilyn 2 1973 Determining a polytope by Radon partitions. Zbl 0221.52003 Breen, Marilyn 2 1972 A Helly-number for k-almost-neighborly sets. Zbl 0235.52010 Breen, Marilyn 1 1972 all cited Publications top 5 cited Publications all top 5 Cited by 106 Authors 53 Breen, Marilyn 4 Cel, Jarosław 3 Perles, Micha A. 3 Williams, Nicholas J. 3 Yuan, Liping 3 Zamfirescu, Tudor I. 2 Berele, Allan 2 Catoiu, Stefan 2 Gangopadhyay, Rahul 2 Horvath, Charles D. 2 Hurtado, Ferran 2 Kojman, Menachem 2 Matoušek, Jiří 2 Nielsen, Mark J. 2 Pintea, Cornel 2 Schuierer, Sven 2 Toranzos, Fausto A. 2 Urrutia Galicia, Jorge L. 2 Valtr, Pavel 2 Wood, Derick 1 Aichholzer, Oswin 1 Amenta, Nina 1 An, Phan Thanh 1 Anshu, Anurag 1 Aurenhammer, Franz 1 Ayan 1 Bae, Sang Won 1 Bárány, Imre 1 Bezdek, Károly 1 Bremner, David 1 Chepoi, Victor D. 1 Cibulka, Josef 1 Cordovil, Raul 1 Dallant, Justin 1 de Berg, Mark Theodoor 1 De Bernardi, Carlo Alberto 1 De Loera, Jesús A. 1 Demaine, Erik D. 1 Duchet, Pierre 1 Eckhoff, Jürgen 1 Forte Cunto, Ana 1 Fox-Epstein, Eli 1 Froese, Vincent 1 Geschke, Stefan 1 Hansen, Gerd 1 Hassan, Njod 1 Herburt, Irmina 1 Huyen, Phong Thi Thu 1 Katz, Matthew J. 1 Kay, David C. 1 Keller, Chaya 1 Kisfaludi-Bak, Sándor 1 Kołodziejczyk, Krzysztof 1 Korbelář, Miroslav 1 Korman, Matias 1 Kubiś, Wiesław 1 Kushnir, Alexey I. 1 Kyncl, Jan 1 Lassonde, Marc 1 Lawrence, James 1 Le, Nguyen Thi 1 Liu, Shuo 1 Mészáros, Viola 1 Mo, Zhiwen 1 Monemizadeh, Morteza 1 Montejano Peimbert, Luis 1 Morgenstern, Gila 1 Morris, Walter D. jun. 1 Moszyńska, Maria 1 Musin, Oleg R. 1 Naszódi, Márton 1 Nill, Benjamin 1 Nitzan, Noa 1 Okamoto, Yoshio 1 Padrol, Arnau 1 Petty, Clinton M. 1 Qiu, Dong 1 Ramos, Pedro A. 1 Renken, Malte 1 Repovš, Dušan D. 1 Rosicki, Witold 1 Schipperus, Rene 1 Schnider, Patrick 1 Serra, Oriol 1 Shaheen, Ramee 1 Shannigrahi, Saswata Shannigrahi 1 Shelah, Saharon 1 Shermer, Thomas Caton 1 Shu, Lan 1 Shveidel, A. P. 1 Soardi, Paolo Maurizio 1 Soberón, Pablo 1 Soltan, Valeriu 1 Somaglia, Jacopo 1 Stolař, Rudolf 1 Theocharous, Leonidas 1 Tofan, Adrian 1 Tóth, Csaba D. 1 Veselý, Libor 1 Virk, Žiga ...and 6 more Authors all top 5 Cited in 40 Serials 26 Journal of Geometry 10 Israel Journal of Mathematics 9 Aequationes Mathematicae 7 Archiv der Mathematik 6 Beiträge zur Algebra und Geometrie 5 Discrete Mathematics 5 Proceedings of the American Mathematical Society 4 Discrete & Computational Geometry 3 Monatshefte für Mathematik 3 European Journal of Combinatorics 3 Computational Geometry 3 Advances in Geometry 2 Periodica Mathematica Hungarica 2 Geometriae Dedicata 2 Mathematische Annalen 2 Algorithmica 2 Journal of Convex Analysis 1 Information Processing Letters 1 Journal of Mathematical Analysis and Applications 1 Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica 1 Advances in Mathematics 1 Applied Mathematics and Computation 1 Computing 1 Fuzzy Sets and Systems 1 Journal of Combinatorial Theory. Series A 1 Mathematika 1 Topology and its Applications 1 Cybernetics 1 Advances in Applied Mathematics 1 Combinatorica 1 Optimization 1 Graphs and Combinatorics 1 International Journal of Computational Geometry & Applications 1 The Electronic Journal of Combinatorics 1 Acta Mathematica Sinica. English Series 1 Set-Valued and Variational Analysis 1 European Series in Applied and Industrial Mathematics (ESAIM): Proceedings and Surveys 1 Journal of Nonlinear and Variational Analysis 1 Algebraic Combinatorics 1 CGT. Computing in Geometry and Topology all top 5 Cited in 16 Fields 105 Convex and discrete geometry (52-XX) 15 Combinatorics (05-XX) 13 Computer science (68-XX) 6 Functional analysis (46-XX) 3 Mathematical logic and foundations (03-XX) 3 General topology (54-XX) 2 Order, lattices, ordered algebraic structures (06-XX) 2 Operator theory (47-XX) 2 Geometry (51-XX) 2 Differential geometry (53-XX) 2 Numerical analysis (65-XX) 1 Algebraic geometry (14-XX) 1 Associative rings and algebras (16-XX) 1 Algebraic topology (55-XX) 1 Probability theory and stochastic processes (60-XX) 1 Operations research, mathematical programming (90-XX) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. Updates and corrections should be made in Wikidata.