A Bound on the Number of Leaves in a Spanning Tree of a Connected Graph of Minimum Degree 6
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DOI: 10.1007/s10958-018-4132-2
Abstract: We prove that a connected graph of minimum degree 6 has a spanning tree such that at least 1121$$ \frac{11\ }{21} $$ of its vertices are leaves. read more here.
Keywords: bound number; graph minimum; connected graph; minimum degree ... See more keywords
An upper bound for the number of solutions of ternary purely exponential diophantine equations
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DOI: 10.1016/j.jnt.2017.07.004
Abstract: Abstract Let a , b , c be fixed coprime positive integers with min { a , b , c } > 1 . In this paper, combining the Gel'fond–Baker method with an elementary… read more here.
Keywords: bound number; solutions ternary; number; upper bound ... See more keywords
Uniform bound on the number of partitions for optimal configurations of the Ohta-Kawasaki energy in 3D
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DOI: 10.4153/s0008439523000401
Abstract: We study a 3D ternary system derived as a sharp-interface limit of the Nakazawa-Ohta density functional theory of triblock copolymers, which combines an interface energy with a long range interaction term. Although both the binary… read more here.
Keywords: bound number; partitions optimal; energy; number partitions ... See more keywords