In: Geometriae Dedicata, 2015, vol. 175, no. 1, p. 267-280
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In: Monatshefte für Mathematik, 2015, vol. 178, no. 2, p. 171-190
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In: Probability Theory and Related Fields, 2015, vol. 163, no. 1-2, p. 89-121
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In: Mathematische Zeitschrift, 2015, vol. 280, no. 1-2, p. 231-255
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In: Ima Journal of Numerical Analysis, 2016, vol. 36, no. 3, p. 1167-1192
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In: Annales de l’Institut Henri Poincaré, Probabilités et Statistiques, 2020, vol. 56, no. 4, p. 2281–2300
We consider a self-avoiding walk model (SAW) on the faces of the square lattice Z2. This walk can traverse the same face twice, but crosses any edge at most once. The weight of a walk is a product of local weights: each square visited by the walk yields a weight that depends on the way the walk passes through it. The local weights are parametrised by angles θ∈[π3,2π3] and satisfy the...
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In: Discrete Applied Mathematics, 2019, vol. 268, p. 102-111
The eccentricity of a vertex v in a graph G is the maximum distance between v and any other vertex of G. The diameter of a graph G is the maximum eccentricity of a vertex in G. The eccentric connectivity index of a connected graph is the sum over all vertices of the product between eccentricity and degree. Given two integers n and D with D ≤ n−1, we characterize those graphs which have...
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In: Discrete & Computational Geometry, 2014, vol. 52, no. 1, p. 102-115
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In: Discrete & Computational Geometry, 2014, vol. 51, no. 4, p. 842-858
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In: Networks and Spatial Economics, 2009, vol. 9, no. 3, p. 379-400
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