Graph homomorphisms, the Tutte polynomial and “q-state Potts uniqueness” [PDF]
, 2009 We establish for which weighted graphs H homomorphism functions from multigraphs G to H are specializations of the Tutte polynomial of G, answering a question of Freedman, Lov´asz and Schrijver.
Garijo Royo, Delia +2 more
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“Essai d'une classification des races humaines, basée uniquement sur les caractères physiques. Par M. J. Deniker” [PDF]
, 1890 O. T. Mason
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Continued Fractions and Unique Additive Partitions [PDF]
arXiv, 1997 A partition of the positive integers into sets $A$ and $B$ {\em avoids} a set $S\subset\N$ if no two distinct elements in the same part have a sum in $S$. If the partition is unique, $S$ is {\em uniquely avoidable.} For any irrational $\alpha>1$, Chow and Long constructed a partition which avoids the numerators of all convergents to $\alpha$, and ...
arxiv
Uniquely 2-List Colorable Graphs [PDF]
Discrete Appl. Math. 119 (2002), no. 3, 217--225, 1999 A graph is called to be uniquely list colorable, if it admits a list assignment which induces a unique list coloring. We study uniquely list colorable graphs with a restriction on the number of colors used. In this way we generalize a theorem which characterizes uniquely 2-list colorable graphs.
arxiv
On Haar’s theorem concerning Chebychev approximation problems having unique solutions [PDF]
, 1956 John C. Mairhuber
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Uniqueness in Law for Stochastic Boundary Value Problems [PDF]
arXiv, 2009 We study existence and uniqueness of solutions for second order ordinary stochastic differential equations with Dirichlet boundary conditions on a given interval. In the first part of the paper we provide sufficient conditions to ensure pathwise uniqueness, extending some known results.
arxiv
Livre Intitulé Laisa. Sur les Exceptions de la Langue Arabe par Ibn Khâloûya, dit Ibn Khâlawaihi: Texte Arabe Publié d'après le Manuscrit Unique du British Museum (Continued) [PDF]
, 1901 Hartwig Derenbourg
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Multi-term fractional differential equations with nonlocal boundary conditions
Open Mathematics, 2018 We introduce and study a new kind of nonlocal boundary value problems of multi-term fractional differential equations. The existence and uniqueness results for the given problem are obtained by applying standard fixed point theorems.
Ahmad Bashir +3 more
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Most Convex Functions Have Unique Minimizers [PDF]
arXiv, 2014 Finding the minimum and the minimizers of convex functions has been of primary concern in convex analysis since its conception. It is well-known that if a convex function has a minimum, then that minimum is global. The minimizers, however, may not be unique. There are certain subclasses, such as strictly convex functions, that do have unique minimizers
arxiv
Hexagonal Tilings: Tutte Uniqueness
, 2005 We develop the necessary machinery in order to prove that hexagonal tilings are uniquely determined by their Tutte polynomial, showing as an example how to apply this technique to the toroidal hexagonal tiling.Comment: 12 ...
Garijo, D., Marquez, A., Revuelta, M. P.
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