On a conjecture of Chellali and Favaron regarding connected domination numbers by Phillip Mafuta

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GUP-corrected black hole thermodynamics and the maximum force conjecture by Yen Chin Ong

“…We comment on the maximum force conjecture, the subtleties involved, as well as the discrepancies with previous results in the literature.…”
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A counterexample to a geometric Hales-Jewett type conjecture by Vytautas Gruslys

“…In this note we show that the conjecture is false for \(k, l \ge 3\).…”
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Tameness in least fixed-point logic and McColm's conjecture by Siddharth Bhaskar, Alex Kruckman

“…McColm's conjecture is known to be false in general. However, we show that McColm's conjecture is true for any family of finite structures whose limit theory is model-theoretically tame.…”
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Note sur la conjecture d'Abelson et Rosenberg by Dănut Marcu

“…<p><span style="font-style: normal;"><span>In this note, we prove the conjecture of Abelson and Rosenberg, on the maximal degree of balance of a graph, with </span></span><em><span>n</span></em><span style="font-style: normal;"><span> vertices, and we characterize these maximal graphs.…”
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Weak gravity conjecture, black hole entropy, and modular invariance by Lars Aalsma, Alex Cole, Gary Shiu

“…Abstract In recent literature, it has been argued that a mild form of the Weak Gravity Conjecture (WGC) is satisfied by wide classes of effective field theories in which higher-derivative corrections can be shown to shift the charge-to-mass ratios of extremal black holes to larger values. …”
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Information Geometric Approach on Most Informative Boolean Function Conjecture by Albert No

“…We also show that the conjecture is true when the arithmetic and geometric mean coincide in a specific set of measures.…”
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On genus one mirror symmetry in higher dimensions and the BCOV conjectures by Dennis Eriksson, Gerard Freixas i Montplet, Christophe Mourougane

“…The mathematical physicists Bershadsky–Cecotti–Ooguri–Vafa (BCOV) proposed, in a seminal article from 1994, a conjecture extending genus zero mirror symmetry to higher genera. …”
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A Short Proof of the Maximum Conjecture in CR Dimension one by Masoud Sabzevari

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Compte rendu de : Nicolas de Cues, Les Conjectures by Marc Parmentier

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Seymour’s second neighborhood conjecture for some oriented graphs with no sink by Moussa Daamouch

Subjects: “…seymour’s second neighborhood conjecture…”
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On the validity of strong cosmic censorship conjecture in presence of Dirac fields by Mostafizur Rahman

“…In this paper, we extend the study by considering Dirac fields in Kerr–de Sitter background and show that there exist a parameter space which does not respect the conjecture.…”
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A conjectural variation approach to vertical integration in agricultural cooperatives by Yung-Chang WANG

“…Under the assumption that agricultural cooperative is a form of vertical integration, this paper, using conjectural variations, solves the profit-maximizing problem faced by the members in the multi-plant firm model in which they are vertically integrated with the agricultural cooperative. …”
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Shock Structures Using the OBurnett Equations in Combination with the Holian Conjecture by Ravi Sudam Jadhav, Amit Agrawal

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Bekenstein's generalized second law of thermodynamics: The role of the hoop conjecture by Shahar Hod

“…In order to resolve this apparent violation of the GSL, we here suggest to use a generalized version of the hoop conjecture. In particular, assuming that a physical system of mass M and electric charge Q forms a black hole if its circumference radius rc is equal to (or smaller than) the corresponding Reissner–Nordström black-hole radius rRN=M+M2−Q2, we prove that a new (and larger) horizon is already formed before the entropy-bearing box reaches the horizon of the original near-extremal black hole. …”
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On a Conjecture for a Higher-Order Rational Difference Equation by Maoxin Liao, Xianhua Tang, Changjin Xu

“…Our main result generalizes several others in the recent literature and confirms a conjecture by Berenhaut et al., 2007.…”
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Eulerian Cycle Decomposition Conjecture for the line graph of complete graphs by R. Rajarajachozhan, R. Sampathkumar

“…This conjecture is verified for the line graph of the complete graph. …”
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On a ratio monotonicity conjecture of a new kind of numbers by Brian Yi Sun

“…Sun, we completely solve a conjecture on ratio monotonicity by him.…”
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Eulerian Cycle Decomposition Conjecture for the line graph of complete graphs by R. Rajarajachozhan, R. Sampathkumar

“…This conjecture is verified for the line graph of the complete graph.…”
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ON THE INTEGRAL HODGE AND TATE CONJECTURES OVER A NUMBER FIELD by BURT TOTARO

“…Hassett and Tschinkel gave counterexamples to the integral Hodge conjecture among 3-folds over a number field. We work out their method in detail, showing that essentially all known counterexamples to the integral Hodge conjecture over the complex numbers can be made to work over a number field.…”
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