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On constant sum partitions and applications to distance magic-type graphs [PDF]

open access: yesAKCE International Journal of Graphs and Combinatorics, 2020
Let be an additive abelian group of order and let be a partition of where A constant sum partition (or -sum partition) of is a pairwise disjoint union of subsets such that and for some fixed and every In 2009, Kaplan, Lev, and Roditty proved that a 0-sum
Bryan Freyberg
doaj   +3 more sources

Constant Sum Partition of Sets of Integers and Distance Magic Graphs

open access: yesDiscussiones Mathematicae Graph Theory, 2018
Let A = {1, 2, . . . , tm+tn}. We shall say that A has the (m, n, t)-balanced constant-sum-partition property ((m, n, t)-BCSP-property) if there exists a partition of A into 2t pairwise disjoint subsets A1, A2, . . . , At, B1, B2, . . .
Cichacz Sylwia, Gőrlich Agnieszka
doaj   +5 more sources

More on zeros and approximation of the Ising partition function

open access: yesForum of Mathematics, Sigma, 2021
We consider the problem of computing the partition function $\sum _x e^{f(x)}$ , where $f: \{-1, 1\}^n \longrightarrow {\mathbb R}$ is a quadratic or cubic polynomial on the Boolean cube $\{-1, 1\}^n$ .
Alexander Barvinok, Nicholas Barvinok
doaj   +1 more source

Sharp Bounds of First Zagreb Coindex for F-Sum Graphs

open access: yesJournal of Mathematics, 2021
Let G=VE,EG be a connected graph with vertex set VG and edge set EG. For a graph G, the graphs S(G), R(G), Q(G), and T(G) are obtained by applying the four subdivisions related operations S, R, Q, and T, respectively. Further, for two connected graphs G1
Muhammad Javaid   +3 more
doaj   +1 more source

The classical cosmological constant of open-closed string field theory

open access: yesJournal of High Energy Physics, 2022
We consider deformations of D-brane systems induced by a change in the closed string background in the framework of bosonic open-closed string field theory, where it is possible to unambiguously tame infrared divergences originating from both open and ...
Carlo Maccaferri, Jakub Vošmera
doaj   +1 more source

Establishing strongly-coupled 3D AdS quantum gravity with Ising dual using all-genus partition functions

open access: yesJournal of High Energy Physics, 2020
We study 3D pure Einstein quantum gravity with negative cosmological constant, in the regime where the AdS radius l is of the order of the Planck scale.
Chao-Ming Jian   +4 more
doaj   +1 more source

SIFAT-SIFAT DASAR INTEGRAL HENSTOCK

open access: yesBarekeng, 2012
This paper was a review about theory of Henstock integral. Riemann gave a definition of integral based on the sum of the partitions in Integration area (interval [a, b]). Those partitions is a  -positive constant.
Lexy J. Sinay
doaj   +1 more source

Tiling by translates of a function: results and open problems

open access: yesDiscrete Analysis, 2021
Tiling by translates of a function: results and open problems, Discrete Analysis 2021:12, 24 pp. Let $f$ be a function from $\mathbb R$ to $\mathbb R$, and for each $\lambda\in\mathbb R$, let $T_\lambda$ be the translate of $f$ by $\lambda$, that is ...
Mihail N. Kolountzakis, Nir Lev
doaj   +1 more source

Fat polygonal partitions with applications to visualization and embeddings

open access: yesJournal of Computational Geometry, 2013
Let T be a rooted and weighted tree, where the weight of any node is equal to the sum of the weights of its children. The popular Treemap algorithm visualizes such a tree as a hierarchical partition of a square into rectangles, where the area of the ...
Mark de Berg   +2 more
doaj   +1 more source

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