Results 11 to 20 of about 169,932 (295)
INTEGRABLE COMBINATORICS [PDF]
We review various combinatorial problems with underlying classical or quantum integrable structures. (Plenary talk given at the International Congress of Mathematical Physics, Aalborg, Denmark, August 10, 2012.)
Di Francesco, Philippe
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More on the Rainbow Disconnection in Graphs
Let G be a nontrivial edge-colored connected graph. An edge-cut R of G is called a rainbow-cut if no two of its edges are colored the same. An edge-colored graph G is rainbow disconnected if for every two vertices u and v of G, there exists a u-v-rainbow-
Bai Xuqing +3 more
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Constrained ear decompositions in graphs and digraphs [PDF]
Ear decompositions of graphs are a standard concept related to several major problems in graph theory like the Traveling Salesman Problem. For example, the Hamiltonian Cycle Problem, which is notoriously N P-complete, is equivalent to deciding whether a ...
Frédéric Havet, Nicolas Nisse
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Oriented diameter and rainbow connection number of a graph [PDF]
Graph ...
Xiaolong Huang +3 more
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Abstract Over the past several decades, research in the cognitive sciences has foregrounded the importance of active bodies and their continuous dependence on the changing environment, strengthening the relevance of dynamical models. These models have been steadily developed within the ecological psychology approach to cognition, which arguably ...
Joanna Rączaszek‐Leonardi
wiley +1 more source
Borel combinatorics of locally finite graphs [PDF]
We provide a gentle introduction, aimed at non-experts, to Borel combinatorics that studies definable graphs on topological spaces. This is an emerging field on the borderline between combinatorics and descriptive set theory with deep connections to many
O. Pikhurko
semanticscholar +1 more source
A subexponential-time, polynomial quantum space algorithm for inverting the CM group action
We present a quantum algorithm which computes group action inverses of the complex multiplication group action on isogenous ordinary elliptic curves, using subexponential time, but only polynomial quantum space.
Jao David +3 more
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Polynomial reconstruction of the matching polynomial
The matching polynomial of a graph is the generating function of the numbers of its matchings with respect to their cardinality. A graph polynomial is polynomial reconstructible, if its value for a graph can be determined from its values for the vertex ...
Xueliang Li, Yongtang Shi, Martin Trinks
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We propose a categorical setting for the study of the combinatorics of rational numbers. We find combinatorial interpretation for the Bernoulli and Euler numbers and polynomials.
Blandín, Héctor, Díaz, Rafael
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Topological Classification of Crystalline Insulators through Band Structure Combinatorics [PDF]
We present a method for efficiently enumerating all allowed, topologically distinct, electronic band structures within a given crystal structure in all physically relevant dimensions. The algorithm applies to crystals without time-reversal, particle-hole,
J. Kruthoff +4 more
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