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Improving upper bounds for the distinguishing index

Ars Mathematica Contemporanea, 2017
Summary: The distinguishing index of a graph $G$, denoted by $D^\prime(G)$, is the least number of colours in an edge colouring of $G$ not preserved by any non-trivial automorphism. We characterize all connected graphs $G$ with $D^\prime(G)\geq \Delta(G)$.
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New bounds for the acyclic chromatic index

Discrete Mathematics, 2016
An edge coloring of a graph $G$ is called an acyclic edge coloring if it is proper and every cycle in $G$ contains edges of at least three different colors. The least number of colors needed for an acyclic edge coloring of $G$ is called the acyclic chromatic index of $G$ and is denoted by $a'(G)$.
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Index Formulas for Countably φ−Set Contraction

International Journal of Analysis and Applications, 2014
In this paper, we study the index formulas for a class of bounded linear operators, namely ϕ−set contractions, acting on a Banach space and we discuss some application of this class of operators to the theory of bifurcation points.
H. Salahifard, S. M. Vaezpour
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Entire Functions of Bounded Index [PDF]

Proceedings of the American Mathematical Society, 1968
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Sampled-data control under time-varying delays: a robust approach for high-renewable smart grids. [PDF]

Sci Rep
Hassan M.
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Factorization norms and an inverse theorem for MaxCut. [PDF]

Math Ann
Balla I, Hambardzumyan L, Tomon I.
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Additivity and Chain Rules for Quantum Entropies via Multi-index Schatten Norms. [PDF]