1. Lectures in Knot Theory 

   Przytycki, Józef H.; Bakshi, Rhea Palak; Ibarra, Dionne; et al. (2024)

   Universitext

   Monograph

2. A generalization of the Davis–Moussong complex for Dyer groups 

   Soergel M. (2024)

   Journal of Combinatorial Algebra

   A common feature of Coxeter groups and right-angled Artin groups is their solution to the word problem. Matthew Dyer introduced a class of groups, which we call Dyer groups, sharing this feature. This class includes, but is not limited to, Coxeter groups, right-angled Artin groups, and graph products of cyclic groups. We introduce Dyer groups by giving their standard presentation and show that they are finite-index subgroups of Coxeter ...

   Journal Article

3. Physics based models for characterization of machining performance – A critical review 

   Attia H.; Sadek A.; Altintas Y.; et al. (2024)

   CIRP Journal of Manufacturing Science and Technology

   This paper presents a comprehensive review of the concept of machinability by considering the dynamic, tribological, and thermo-mechanical interactions encountered at the tool-chip-machined surface interfaces. The paper provides a demonstration of the capabilities and gaps of the physics-based models for the characterization of the machining performance and the prediction of machinability of difficult-to-cut materials, including additively ...

   Journal Article

4. This is SpArta: Rigorous Optimization of Regionally Resolved Energy Systems by Spatial Aggregation and Decomposition 

   Reinert C.; Nilges B.; Baumgärtner N.; et al. (2024)

   Applied Energy

   Energy systems with high shares of renewable energy are characterized by local variability and grid limitations. The synthesis of such energy systems, therefore, requires models with high spatial resolution. However, high spatial resolution increases the computational effort. Here, we present the SpArta method for rigorous optimization of regionally resolved energy systems by Spatial Aggregation and decomposition. SpArta significantly ...

   Journal Article

5. Chromatic number is not tournament-local 

   Girão A.; Hendrey K.; Illingworth F.; et al. (2024)

   Journal of Combinatorial Theory. Series B

   Scott and Seymour conjectured the existence of a function f:N→N such that, for every graph G and tournament T on the same vertex set, χ(G)⩾f(k) implies that χ(G[NT+(v)])⩾k for some vertex v. In this note we disprove this conjecture even if v is replaced by a vertex set of size O(log|V(G)|). As a consequence, we answer in the negative a question of Harutyunyan, Le, Thomassé, and Wu concerning the corresponding statement where the graph G ...

   Journal Article

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