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Theoretical Computer Science, ISSN 0304-3975, 10/2015, Volume 600, pp. 49 - 58
In this paper, we prove several inapproximability results on the -convexity and the geodesic convexity in graphs. We prove that determining the -hull number... 
Inapproximability results | Geodesic convexity | Radon number | APX-hardness | Carathéodory number | Hull number | [formula omitted]-convexity | P 3 -convexity | Caratheodory number | PATHS | ORDER 3 | COMPUTER SCIENCE, THEORY & METHODS | P-3-convexity | Intervals | Radon | Graphs | Polynomials | Convexity | Hulls (structures) | Hulls
Journal Article
Discrete Applied Mathematics, ISSN 0166-218X, 06/2016, Volume 206, pp. 39 - 47
In a of a graph no edges exist joining vertices and such that . A set is   , or - , if the vertices of every triangle path joining two vertices of are in . The... 
Convexity number | Graph convexity | Hull number | Triangle path convexity | MATHEMATICS, APPLIED | DECOMPOSITION | P-3-RADON NUMBER | ORDER 3 | CLIQUE SEPARATORS | GRAPHS | Triangles | Graphs | Joining | Graph theory | Convexity | Hulls (structures) | Hulls | Complexity
Journal Article
The Economic Journal, ISSN 0013-0133, 03/2015, Volume 125, Issue 583, pp. 574 - 620
‘To slow or not to slow’ (Nordhaus, 1991) was the first economic appraisal of greenhouse gas emissions abatement and founded a large literature on a topic of... 
CONTROLLING GREENHOUSE GASES | OPTIMAL TRANSITION PATH | CHANGE POLICY | TARGETS | ECONOMICS | ECONOMIC-GROWTH | SCIENCE | EQUITY | DICE MODEL | ETHICS | Air quality management | Emissions (Pollution) | Air pollution | Studies | Economic models | Emissions control | Environmental policy | Economic growth
Journal Article
Theoretical Computer Science, ISSN 0304-3975, 10/2013, Volume 510, pp. 127 - 135
Inspired by a result of Carathéodory [Über den Variabilitätsbereich der Fourierschen Konstanten von positiven harmonischen Funktionen, Rend. Circ. Mat. Palermo... 
Convexity space | Interval convexity | Carathéodory number | [formula omitted]-convexity | Monophonic convexity | Geodetic convexity | convexity | Caratheodory number | SETS | ORDER 3 | COMPUTER SCIENCE, THEORY & METHODS | PATH CONVEXITY | P-3-convexity | HULL NUMBER | Hardness
Journal Article
DISCRETE APPLIED MATHEMATICS, ISSN 0166-218X, 12/2018, Volume 251, pp. 245 - 257
Recent papers investigated the maximum infection times t(p3)(G), t(gd)(G) and t(mo)(G) of the P3 convexity, geodesic convexity and monophonic convexity,... 
MATHEMATICS, APPLIED | THRESHOLD | NUMBER | BOOTSTRAP PERCOLATION | Maximum infection time | PATHS | Graph convexity | P-3 convexity
Journal Article
DISCRETE APPLIED MATHEMATICS, ISSN 0166-218X, 07/2014, Volume 172, pp. 104 - 108
If S is a set of vertices of a graph G, then the convex hull of S in the P-3 convexity of G is the smallest set T of vertices of G that contains S and that has... 
Caratheodory number | PATHS | MATHEMATICS, APPLIED | P-3 convexity | HULL NUMBER | SETS | Algorithms
Journal Article
Discrete Applied Mathematics, ISSN 0166-218X, 09/2015, Volume 192, pp. 28 - 39
A graph is (q,q-4) if every subset of at most q vertices induces at most q-4 P4 's. It therefore generalizes some different classes, as cographs and P4 -sparse... 
Radon number | Carathéodory number | Convexity of paths of order three | Hull number | (q, q - 4) -graphs | Fixed parameter tractability | Algorithms
Journal Article
DISCRETE APPLIED MATHEMATICS, ISSN 0166-218X, 09/2015, Volume 192, pp. 28 - 39
A graph is (q, q-4) if every subset of at most q vertices induces at most q-4P(4)'s. It therefore generalizes some different classes, as cographs and... 
Caratheodory number | MATHEMATICS, APPLIED | BEHAVIOR | Radon number | Convexity of paths of order three | ALGORITHMS | Hull number | (q, q-4)-graphs | Fixed parameter tractability
Journal Article
Graphs and Combinatorics, ISSN 0911-0119, 5/2012, Volume 28, Issue 3, pp. 333 - 345
A set of vertices S in a graph is convex if it contains all vertices which belong to shortest paths between vertices in S. The convexity number c(G) of a graph... 
Convex hull | Convex set | Graph | Shortest path | Convexity number | Mathematics | Engineering Design | Combinatorics | MATHEMATICS | SETS | Graphs | Theorems | Integers | Convexity | Upper bounds | Combinatorial analysis | Shortest-path problems
Journal Article
Advances in Mathematics, ISSN 0001-8708, 2011, Volume 227, Issue 1, pp. 210 - 244
Affine buildings are in a certain sense analogs of symmetric spaces. It is therefore natural to ask for analogs of results for symmetric spaces. We prove a... 
Affine buildings | Convexity | Combinatorics | BN-pairs | Λ-metric spaces | Retractions | MATHEMATICS | REPRESENTATION-THEORY | Lambda-metric spaces | PATH MODEL
Journal Article
Discrete Applied Mathematics, ISSN 0166-218X, 09/2015, Volume 192, pp. 28 - 39
A graph is if every subset of at most vertices induces at most ’s. It therefore generalizes some different classes, as cographs and -sparse graphs. In this... 
Radon number | Convexity of paths of order three | Carathéodory number | Hull number | [formula omitted]-graphs | Fixed parameter tractability
Journal Article
Acta Applicandae Mathematicae, ISSN 0167-8019, 6/2010, Volume 110, Issue 3, pp. 1373 - 1392
Journal Article
SIAM JOURNAL ON DISCRETE MATHEMATICS, ISSN 0895-4801, 2013, Volume 27, Issue 2, pp. 717 - 731
We study the graphs G for which the hull number h(G) and the geodetic number g(G) with respect to P-3-convexity coincide. These two parameters correspond to... 
MATHEMATICS, APPLIED | PERCOLATION | PATHS | geodetic number | ORDER 3 | hull number | COALITIONS | P-3-convexity | irreversible 2-threshold processes | GRAPHS | Construction | Mathematical analysis | Graphs | Hulls (structures) | Hulls | Iterative methods | Character recognition | Recognition
Journal Article
European Journal of Combinatorics, ISSN 0195-6698, 2008, Volume 29, Issue 3, pp. 641 - 651
In the context of two-path convexity, we study the , and for multipartite tournaments. We show the maximum Caratheodory number of a multipartite tournament is... 
MATHEMATICS | PATH CONVEXITY | GRAPHS
Journal Article
Discrete Mathematics, ISSN 0012-365X, 2011, Volume 311, Issue 8, pp. 616 - 619
A finite convexity space is a pair consisting of a finite set and a set of subsets of such that , , and is closed under intersection. A graph with vertex set... 
Convexity space | All-path convexity | Monophonic convexity | Triangle-path convexity | Geodetic convexity | MATHEMATICS | BETWEENNESS | Algorithms | Mathematical analysis | Images | Graphs | Convexity | Hulls | Hulls (structures) | Intersections
Journal Article
Filomat, ISSN 0354-5180, 1/2015, Volume 29, Issue 9, pp. 2097 - 2105
Journal Article
Journal of Optimization Theory and Applications, ISSN 0022-3239, 10/2005, Volume 127, Issue 1, pp. 165 - 176
Journal Article
Journal of Integer Sequences, 03/2014, Volume 17, Issue 5
Journal Article
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