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Theoretical Computer Science, ISSN 0304-3975, 08/2009, Volume 410, Issue 36, pp. 3428 - 3435
Given an instance of the Steiner tree problem together with an optimal solution, we consider the scenario where this instance is modified locally by adding one... 
Reoptimization | Steiner tree | Approximation algorithms | COMPUTER SCIENCE, THEORY & METHODS | Computer science | Algorithms | Steiner trees | Data- och informationsvetenskap | approximation | Naturvetenskap | Computer Sciences | Datavetenskap (datalogi) | Natural Sciences | Computer and Information Sciences | reoptimization
Journal Article
by Wang, C and Shi, C
Discrete Mathematics, ISSN 0012-365X, 05/2017, Volume 340, Issue 5, pp. 1042 - 1045
The existence of Large sets of Kirkman Triple Systems (LKTS) is an old problem in combinatorics. Known results are very limited, and a lot of them are based on... 
Large set | Steiner triple system | Kirkman triple system
Journal Article
Wireless Communications and Mobile Computing, ISSN 1530-8669, 12/2005, Volume 5, Issue 8, pp. 927 - 932
Journal Article
SIAM Journal on Mathematical Analysis, ISSN 0036-1410, 2015, Volume 47, Issue 2, pp. 1489 - 1529
Journal Article
Journal of Combinatorial Optimization, ISSN 1382-6905, 2/2016, Volume 31, Issue 2, pp. 713 - 724
Journal Article
Journal of Combinatorial Designs, ISSN 1063-8539, 08/2015, Volume 23, Issue 8, pp. 321 - 327
A cross‐free set of size m in a Steiner triple system (V,B) is three pairwise disjoint m‐element subsets X1,X2,X3⊂V such that no B∈B intersects all the three... 
Steiner triple systems | edge coloring of hypergraphs | MATHEMATICS | Mathematics - Combinatorics
Journal Article
Journal of Combinatorial Optimization, ISSN 1382-6905, 10/2017, Volume 34, Issue 3, pp. 956 - 963
Journal Article
Bulletin of the Malaysian Mathematical Sciences Society, ISSN 0126-6705, 4/2018, Volume 41, Issue 2, pp. 627 - 636
In this paper we prove some bounds for Steiner distance in Cartesian product. We investigate properties of connected subgraphs that are not Steiner convex.... 
05C76 | 05C12 | Grid | Mathematics, general | Mathematics | Steiner convexity | Applications of Mathematics | Cartesian product | 05C38 | MATHEMATICS | DISTANCE | TREES | INTERVALS | GRAPHS | Convexity | Cartesian coordinates
Journal Article
SIAM Journal on Mathematical Analysis, ISSN 0036-1410, 2018, Volume 50, Issue 6, pp. 6307 - 6332
In this paper we consider variational problems involving 1-dimensional connected sets in the Euclidean plane, such as the classical Steiner tree problem and... 
Convex relaxation | Γ-convergence | Gilbert-steiner problem | Geometric measure theory | Optimal partitions | Calculus of variations | MATHEMATICS, APPLIED | geometric measure theory | MINIMIZATION | calculus of variations | optimal partitions | Gilbert-Steiner problem | Gamma-convergence | convex relaxation | SCHEMES | Mathematics | Optimization and Control
Journal Article
Discrete Mathematics, ISSN 0012-365X, 08/2012, Volume 312, Issue 15, pp. 2349 - 2355
In an undirected or a directed graph, the edge-connectivity between two disjoint vertex sets X and Y is defined as the minimum number of edges or arcs that... 
Edge-connectivity | Graph orientation | Group Steiner tree packing | MATHEMATICS
Journal Article
Transactions of the American Mathematical Society, ISSN 0002-9947, 10/2016, Volume 368, Issue 10, pp. 7153 - 7188
k if \Vert\sum _{i\in I}\mathbold {x}_i\Vert\leq 1-element subsets I\subseteq \{1,2,\dots ,m\} \overline {\mathcal {C}}(k,d)-collapsing family of unit vectors... 
STEINER PROBLEM | MATHEMATICS | PROOF | SPACES | BOUNDS | MATRICES
Journal Article
Discrete Mathematics, ISSN 0012-365X, 2009, Volume 309, Issue 12, pp. 4205 - 4207
Suppose that G is a simple graph. Let g ( G ) and s ( G ) be the geodetic number and the Steiner number of G , respectively. In this note, we prove that, for... 
Steiner tree | Geodetic set | Steiner set | MATHEMATICS | NUMBER
Journal Article
Algorithmica, ISSN 0178-4617, 11/2018, Volume 80, Issue 11, pp. 3270 - 3292
Journal Article
Journal of Economic Theory, ISSN 0022-0531, 2008, Volume 140, Issue 1, pp. 27 - 65
This paper presents an axiomatic model of decision making under uncertainty which incorporates objective but imprecise information. Information is assumed to... 
Imprecision aversion | Imprecise information | Steiner point | Multiple priors | DEFINITION | AMBIGUITY AVERSION | imprecise information | steiner point | DECISION-MAKING | imprecision aversion | PREFERENCES | AXIOMS | multiple priors | UNCERTAINTY AVERSION | ECONOMICS | UTILITY | Economics and Finance | Humanities and Social Sciences
Journal Article
Ars Combinatoria, ISSN 0381-7032, 04/2017, Volume 132, pp. 219 - 229
For vertices u, v in a connected graph G, a u - v chordless path in G is a u v monophonic path. The monophonic interval J(G)[u, v] consists of all vertices... 
Monophonic number | Monophonic path | Extreme monophonic graph | Open monophonic number | Monophonic set | monophonic path | MATHEMATICS | monophonic number | extreme monophonic graph | open monophonic number | STEINER | monophonic set | GEODETIC NUMBER
Journal Article
Lecture Notes in Electrical Engineering, ISSN 1876-1100, 2018, Volume 423, pp. 373 - 381
Conference Proceeding
Graphs and Combinatorics, ISSN 0911-0119, 1/2012, Volume 28, Issue 1, pp. 77 - 84
Geodesic convex sets, Steiner convex sets, and J-convex (alias induced path convex) sets of lexicographic products of graphs are characterized. The geodesic... 
05C76 | Convex sets | 05C12 | Steiner sets | Mathematics | Engineering Design | Combinatorics | Lexicographic product of graphs | MATHEMATICS | NUMBERS | STEINER INTERVALS | TRANSIT FUNCTION | PATH CONVEXITY | Universities and colleges | Geodetics | Graphs | Theorems | Combinatorial analysis
Journal Article
Journal of Convex Analysis, ISSN 0944-6532, 2015, Volume 22, Issue 4, pp. 1125 - 1134
We prove that that the 1-Riesz capacity satisfies a Brunn-Minkowski inequality, and that the capacitary function of the 1/2-Laplacian is level set convex. 
Riesz capacity | Brunn-Minkowski inequality | Fractional Laplacian | Level set convexity | level set convexity | MATHEMATICS | STEINER SYMMETRIZATION
Journal Article
Advances in Mathematics, ISSN 0001-8708, 01/2017, Volume 305, pp. 1268 - 1319
We study existence and partial regularity relative to the weighted Steiner problem in Banach spaces. We show C1 regularity almost everywhere for almost... 
Geometric measure theory | Steiner problem | MATHEMATICS | CURVE REGULARITY | Metric Geometry | Mathematics | Classical Analysis and ODEs
Journal Article
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