Results 81 to 90 of about 240,213 (310)
, 2019 The classical theory of symmetric functions has a central position in algebraic combinatorics, bridging aspects of representation theory, combinatorics, and enumerative geometry.
Allen Hatcher +36 more
core +1 more source
Combinatorial optimization approach for the efficient reuse of RC components
Structural Concrete, EarlyView.Abstract The reuse of reinforced concrete (RC) components from deconstructed buildings offers a promising approach to reduce the environmental impact of new constructions. However, it represents a complex combinatorial optimization problem to efficiently place the available modules, which vary in geometry and load‐bearing capacity, into new structures ...
Jannis Rose +4 more
wiley +1 more source
A simple recurrence formula for the number of rooted maps on surfaces by edges and genus [PDF]
Discrete Mathematics & Theoretical Computer Science, 2014 We establish a simple recurrence formula for the number $Q_g^n$ of rooted orientable maps counted by edges and genus. The formula is a consequence of the KP equation for the generating function of bipartite maps, coupled with a Tutte equation, and it was
Sean Carrell, Guillaume Chapuy
doaj +1 more source
Combinatorics of embeddings [PDF]
, 2011 We offer the following explanation of the statement of the Kuratowski graph planarity criterion and of 6/7 of the statement of the Robertson-Seymour-Thomas intrinsic linking criterion.
Melikhov, Sergey A.
core
Isosurface Extraction for Signed Distance Functions using Power Diagrams
Computer Graphics Forum, EarlyView.Abstract Contouring an implicit function typically considers function values in the vicinity of the desired level set, only. In a recent string of works, Sellán at al. have demonstrated that signed distance values contain useful information also if they are further away from the surface.
M. Kohlbrenner, M. Alexa
wiley +1 more source
Third‐order self‐embedded vocal motifs in wild orangutans, and the selective evolution of recursion
Annals of the New York Academy of Sciences, EarlyView.Recursion, a core feature of language, was long considered unique to humans. We investigate rhythmic recursion in great ape vocalizations, analyzing Sumatran orangutan alarm calls and uncovering third‐order self‐embedded isochrony, with each level exhibiting unique variation dynamics and information content relative to context.
Chiara De Gregorio +2 more
wiley +1 more source
Hodge theory in combinatorics [PDF]
, 2017 George Birkhoff proved in 1912 that the number of proper colorings of a finite graph G with n colors is a polynomial in n, called the chromatic polynomial of G.
M. Baker
semanticscholar +1 more source
Stable Lengths on the pants graph are rational [PDF]
, 2014 For the pants graph, there is little known about the behaviour of geodesics, as opposed to quasigeodesics. Brock-Masur-Minsky showed that geodesics or geodesic segments connecting endpoints satisfying a bounded combinatorics condition, such as the stable/
Irmer, Ingrid
core
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
The generalized 3-connectivity of Lexicographic product graphs [PDF]
Discrete Mathematics & Theoretical Computer Science, 2014 Graph ...
Xueliang Li, Yaping Mao
doaj +1 more source