Results 21 to 30 of about 352 (164)
Journal of Graph Theory, EarlyView.ABSTRACT In an effort to understand the complexity of the maximum independent set problem, Chvátal introduced t‐perfect graphs. While a full characterization of this class remains open, important progress has been made for claw‐free graphs [Bruhn and Stein, Math. Program. 2012] and P 5 ${P}_{5}$‐free graphs [Bruhn and Fuchs, SIAM J. Discrete Math. 2017]
Yixin Cao, Shenghua Wang
wiley +1 more source
Tree Independence Number III. Thetas, Prisms and Stars
Journal of Graph Theory, EarlyView.ABSTRACT We prove that for every t ∈ N $t\in {\mathbb{N}}$ there exists τ = τ ( t ) ∈ N $\tau =\tau (t)\in {\mathbb{N}}$ such that every (theta, prism, K 1 , t ${K}_{1,t}$)‐free graph has tree independence number at most τ $\tau $ (where we allow “prisms” to have one path of length zero).
Maria Chudnovsky +2 more
wiley +1 more source
Renormalization techniques for inflation systems and some of their applications
Acta Crystallographica Section A, EarlyView.In this work, renormalization methods for quantities related to the diffraction of inflation systems are surveyed.Exact renormalization techniques are important and powerful, particularly for inflation‐generated systems. We review recent results in this direction.
Michael Baake +4 more
wiley +1 more source
Creativity and Innovation Management, EarlyView.ABSTRACT This paper explores the limits of mission‐directed entrepreneurial states by drawing on the theory of recombinant innovation and F.A. Hayek's insights on the spontaneous growth of knowledge in society. First, the use of discretionary policymaking curtails the range of knowledge generated in the process of social interaction, limiting the scope
Bryan Cheang, Praharsh Mehrotra
wiley +1 more source
Basis Networks: Learning basis functions for free‐form triangulations
Computer Graphics Forum, EarlyView.Abstract We present a framework for learning compactly supported basis functions that define tangent continuous surfaces based on coarse irregular triangle meshes. The basis functions are represented as MLPs. Smoothness of the basis functions is achieved by using the values of Loop basis functions as the parameterization of the surface.
T. Djuren, M. Alexa
wiley +1 more source
DiskScissors: Cutting Arbitrary‐Topology Solids for Bijective Mapping
Computer Graphics Forum, EarlyView.Abstract An algorithm for cutting solid objects in a topology‐controlled manner is presented. Concretely, given a loop on the object boundary, a disk‐topology cut surface bounded by the loop is constructed in the interior. In contrast to various previous approaches, both disk topology and conformance to the prescribed loop are ensured by construction ...
S. Hinderink, M. Campen
wiley +1 more source
The Role of Dice in the Emergence of the Probability Calculus
International Statistical Review, EarlyView.Summary The early development of the probability calculus was clearly influenced by the roll of dice. However, while dice have been cast since time immemorial, documented calculations on the frequency of various dice throws date back only to the mid‐13th century.
David R. Bellhouse, Christian Genest
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The implications of generative artificial intelligence for mathematics education
School Science and Mathematics, EarlyView.Abstract Generative artificial intelligence has become prevalent in discussions of educational technology, particularly in the context of mathematics education. These AI models can engage in human‐like conversation and generate answers to complex questions in real‐time, with education reports accentuating their potential to make teachers' work more ...
Candace Walkington
wiley +1 more source
Biclosed sets in Combinatorics [PDF]
, 2015 University of Minnesota Ph.D. dissertation. August 2015. Major: Mathematics. Advisor: Pavlo Pylyavskyy. 1 computer file (PDF); ix, 151 pages.The weak order is the set of permutations of [n] partially ordered by inclusion of inversion sets. This partial
McConville, Thomas
core
Some applications of Rees products of posets to equivariant gamma-positivity [PDF]
, 2020 The Rees product of partially ordered sets was introduced by Björner and Welker. Using the theory of lexicographic shellability, Linusson, Shareshian and Wachs proved formulas, of significance in the theory of gamma-positivity, for the dimension of the ...
Athanasiadis, Christos A. +1 more
core +1 more source