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Profinite Groups with Many Elements of Bounded Order [PDF]
Advances in Group Theory and Applications, 2022 Lévai and Pyber proposed the following as a conjecture: if G is a profinite group such that the set of solutions of the equation x^n = 1 has positive Haar measure, then G has an open subgroup H and an element t such that all elements of the coset tH have
Alireza Abdollahi +1 more
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On the crossing numbers of join products of W_{4}+P_{n} and W_{4}+C_{n} [PDF]
Opuscula Mathematica, 2021 The crossing number \(\mathrm{cr}(G)\) of a graph \(G\) is the minimum number of edge crossings over all drawings of \(G\) in the plane. The main aim of the paper is to give the crossing number of the join product \(W_4+P_n\) and \(W_4+C_n\) for the ...
Michal Staš, Juraj Valiska
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Discrete Mathematics & Theoretical Computer Science, 2015 Graph ...
Akbar Davoodi, Behnaz Omoomi
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On a combination of the 1-2-3 Conjecture and the Antimagic Labelling Conjecture [PDF]
Discrete Mathematics & Theoretical Computer Science, 2017 This paper is dedicated to studying the following question: Is it always possible to injectively assign the weights 1, ..., |E(G)| to the edges of any given graph G (with no component isomorphic to K2) so that every two adjacent vertices of G get ...
Julien Bensmail +2 more
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Sequence variations of the 1-2-3 conjecture and irregularity strength [PDF]
Discrete Mathematics & Theoretical Computer Science, 2013 Graph ...
Ben Seamone, Brett Stevens
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A gravitino distance conjecture
Journal of High Energy Physics, 2021 We conjecture that in a consistent supergravity theory with non-vanishing gravitino mass, the limit m 3/2 → 0 is at infinite distance. In particular one can write M tower ~ m 3 / 2 δ $$ {m}_{3/2}^{\delta } $$ so that as the gravitino mass goes to zero, a
Alberto Castellano +3 more
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A general decomposition theory for the 1-2-3 Conjecture and locally irregular decompositions [PDF]
Discrete Mathematics & Theoretical Computer Science, 2019 How can one distinguish the adjacent vertices of a graph through an edge-weighting? In the last decades, this question has been attracting increasing attention, which resulted in the active field of distinguishing labellings.
Olivier Baudon +7 more
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On locally irregular decompositions and the 1-2 Conjecture in digraphs [PDF]
Discrete Mathematics & Theoretical Computer Science, 2018 The 1-2 Conjecture raised by Przybylo and Wozniak in 2010 asserts that every undirected graph admits a 2-total-weighting such that the sums of weights "incident" to the vertices yield a proper vertex-colouring.
Olivier Baudon +3 more
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On a Total Version of 1-2-3 Conjecture
Discussiones Mathematicae Graph Theory, 2020 A total k-coloring of a graph G is a coloring of vertices and edges of G using colors of the set {1, . . . , k}. These colors can be used to distinguish adjacent vertices of G. There are many possibilities of such a distinction.
Baudon Olivier +5 more
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Some remarks and results on the Standard (2,2)-Conjecture [PDF]
Opuscula MathematicaIn this note, we prove that every graph can be edge-labelled with red labels \(1,2\) and blue labels \(1,2\) so that vertices with any sum of incident red labels induce a \(1\)-degenerate graph, while vertices with any sum of incident blue labels induce ...
Olivier Baudon +2 more
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