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Extremal Properties of Random Structures
"... Abstract. The extremal characteristics of random structures, including trees, graphs, and networks, are discussed. A statistical physics approach is employed in which extremal properties are obtained through suitably defined rate equations. A variety of unusual time dependences and systemsize depen ..."
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Abstract. The extremal characteristics of random structures, including trees, graphs, and networks, are discussed. A statistical physics approach is employed in which extremal properties are obtained through suitably defined rate equations. A variety of unusual time dependences and system
On extremal properties of graph entropies
 MatchCommun Math Cmput Chem
"... Abstract We study extremal properties of graph entropies based on socalled information functionals. We obtain some extremality results for the resulting graph entropies which rely on the wellknown Shannon entropy. Also by applying these results, we infer some entropy bounds for certain graph clas ..."
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Cited by 5 (3 self)
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Abstract We study extremal properties of graph entropies based on socalled information functionals. We obtain some extremality results for the resulting graph entropies which rely on the wellknown Shannon entropy. Also by applying these results, we infer some entropy bounds for certain graph
Robust wide baseline stereo from maximally stable extremal regions
 In Proc. BMVC
, 2002
"... The widebaseline stereo problem, i.e. the problem of establishing correspondences between a pair of images taken from different viewpoints is studied. A new set of image elements that are put into correspondence, the so called extremal regions, is introduced. Extremal regions possess highly desir ..."
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Cited by 1016 (35 self)
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The widebaseline stereo problem, i.e. the problem of establishing correspondences between a pair of images taken from different viewpoints is studied. A new set of image elements that are put into correspondence, the so called extremal regions, is introduced. Extremal regions possess highly de
Extremal properties of central halfspaces for product measures
 J. Funct. Anal
"... Extremal properties of central halfspaces for product measures ..."
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Extremal properties of central halfspaces for product measures
An Extremal Property of Turán Graphs
, 2010
"... Let F n,tr(n) denote the family of all graphs on n vertices and tr(n) edges, where tr(n) is the number of edges in the Turán’s graph Tr(n) – the complete rpartite graph on n vertices with partition sizes as equal as possible. For a graph G and a positive integer λ, let PG(λ) denote the number of p ..."
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of proper vertex colorings of G with at most λ colors, and let f(n,tr(n),λ) = max{PG(λ) : G ∈ F n,tr(n)}. We prove that for all n ≥ r ≥ 2, f(n,tr(n),r + 1) = P Tr(n)(r + 1) and that Tr(n) is the only extremal graph.
EXTREMAL PROPERTIES OF LOGARITHMIC SPIRALS
"... Abstract. Loxodromic arcs are shown to be the maximizers of inversive arclength, which is invariant under Möbius transformations. Previously, these arcs were known to be extremals. The first result says that at any loxodromic arc, the inversive arclength functional is concave with respect to a nont ..."
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Abstract. Loxodromic arcs are shown to be the maximizers of inversive arclength, which is invariant under Möbius transformations. Previously, these arcs were known to be extremals. The first result says that at any loxodromic arc, the inversive arclength functional is concave with respect to a non
An Extremal Property of the Regular Simplex
, 1998
"... If C is a convex body in R^n such that the ellipsoid of minimal volume containing C—the Löwner ellipsoid—is the euclidean ball Bn 2, then the mean width of C is no smaller than the mean width of a regular simplex inscribed in Bn 2. ..."
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If C is a convex body in R^n such that the ellipsoid of minimal volume containing C—the Löwner ellipsoid—is the euclidean ball Bn 2, then the mean width of C is no smaller than the mean width of a regular simplex inscribed in Bn 2.
Results 1  10
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