Some Results on the Erdős–Faber–Lovász Conjecture by Yun Feng, Wensong Lin

Subjects: “…Erdős–Faber–Lovász conjecture…”
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Popper’s conjecture with angular slits and twisted light by Neelan Gounden, Jenna Epstein, Pedro Ornelas, Geoff Beck, Isaac Nape, Andrew Forbes

“…Here, we test Popper’s conjecture by replacing the traditional spatial and momentum states with angular position and orbital angular momentum (OAM) states of photons, showing that the OAM spectrum for an entangled photon passing through a virtual slit differs from that of a photon passing through a physical slit. …”
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Generalization of the Haldane conjecture to SU(3) chains by Miklós Lajkó, Kyle Wamer, Frédéric Mila, Ian Affleck

“…Generalizing the Haldane conjecture, we argue that the models are gapped for p=3m but gapless for p=3m±1 (for integer m), corresponding to a massless phase of the σ-model at θ=±2π/3. …”
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Evidence for a sublattice weak gravity conjecture by Ben Heidenreich, Matthew Reece, Tom Rudelius

“…Abstract The Weak Gravity Conjecture postulates the existence of superextremal charged particles, i.e. those with mass smaller than or equal to their charge in Planck units. …”
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Modular Conjectures for Direct Product of Finite Groups by Eman Bakhdher, Ahmad Alghamdi

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Review of John Jarick, ed., Sacred Conjectures by David A. Bosworth

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A Proof of the Extended Delta Conjecture – Corrigendum

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On the 3/4-Conjecture for Fix-Free Codes by Christian Deppe, Holger Schnettler

Subjects: “…$\frac{3 }{ 4}$-conjecture…”
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On the composition conjecture for a class of rigid systems by Zhengxin Zhou, Yuexin Yan

Subjects: “…composition conjecture…”
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The asymptotic weak gravity conjecture in M-theory by Cesar Fierro Cota, Alessandro Mininno, Timo Weigand, Max Wiesner

“…Abstract The tower Weak Gravity Conjecture predicts infinitely many super-extremal states along every ray in the charge lattice of a consistent quantum gravity theory. …”
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On a Vizing-type Integer Domination Conjecture by Elliot Krop, Randy Davila

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A holographic derivation of the weak gravity conjecture by M. Montero

“…Abstract The Weak Gravity Conjecture (WGC) demands the existence of superextremal particles in any consistent quantum theory of gravity. …”
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Concepts and conjectures concerning predatory performance of myxobacteria by Kayleigh E. Phillips, Shukria Akbar, Shukria Akbar, D. Cole Stevens

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An Oriented Version of the 1-2-3 Conjecture by Baudon Olivier, Bensmail Julien, Sopena Éric

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Higgs inflation and scalar weak gravity conjecture by Yang Liu

“…Abstract In this article, we intend to find a specific model which can satisfy the further refining dS swampland conjecture and scalar weak gravity conjecture (SWGC) simultaneously, in particular, Higgs inflation model and its two extensions: Higgs-dilaton model and Palatini Higgs inflation. …”
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Supersymmetry breaking, brane dynamics and Swampland conjectures by Ivano Basile

“…For charged branes, our analysis reveals that the Weak Gravity Conjecture is satisfied in a novel way via a renormalization of the effective charge-to-tension ratio.…”
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The Swampland Distance Conjecture and towers of tensionless branes by Anamaría Font, Alvaro Herráez, Luis E. Ibáñez

“…Abstract The Swampland Distance Conjecture states that at infinite distance in the scalar moduli space an infinite tower of particles become exponentially massless. …”
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Swampland distance conjecture, inflation and α-attractors by Marco Scalisi, Irene Valenzuela

“…Abstract The Swampland Distance Conjecture (SDC) constraints the dynamics emerging at infinite distances in field space of any effective field theory consistent with quantum gravity. …”
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GOLDFELD’S CONJECTURE AND CONGRUENCES BETWEEN HEEGNER POINTS by DANIEL KRIZ, CHAO LI

“…We show that this conjecture holds whenever $E$ has a rational 3-isogeny. …”
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Further results on Erdős–Faber–Lovász conjecture by S.M. Hegde, Suresh Dara

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