Results 61 to 70 of about 974 (99)
Sharp Upper Bounds on the Clar Number of Fullerene Graphs
The Clar number of a fullerene graph with n vertices is bounded above by ⌊n/6⌋ − 2 and this bound has been improved to ⌊n/6⌋ − 3 when n is congruent to 2 modulo 6.
Gao Yang, Zhang Heping
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On the Hamiltonian Number of a Plane Graph
The Hamiltonian number of a connected graph is the minimum of the lengths of the closed spanning walks in the graph. In 1968, Grinberg published a necessary condition for the existence of a Hamiltonian cycle in a plane graph, formulated in terms of the ...
Lewis Thomas M.
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Facial Rainbow Coloring of Plane Graphs
A vertex coloring of a plane graph G is a facial rainbow coloring if any two vertices of G connected by a facial path have distinct colors. The facial rainbow number of a plane graph G, denoted by rb(G), is the minimum number of colors that are necessary
Jendroľ Stanislav, Kekeňáková Lucia
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On polyhedral graphs and their complements. [PDF]
Maffucci RW.
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Financial fallout from the COVID-19 pandemic:Report from a high-volume academic neurosurgery. [PDF]
Loganadane G +13 more
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UNIFORM SPANNING FORESTS OF PLANAR GRAPHS
We prove that the free uniform spanning forest of any bounded degree proper plane graph is connected almost surely, answering a question of Benjamini, Lyons, Peres and Schramm.
TOM HUTCHCROFT, ASAF NACHMIAS
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A Continuum-Tensegrity Computational Model for Chondrocyte Biomechanics in AFM Indentation and Micropipette Aspiration. [PDF]
Arduino A +5 more
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ON THE STRUCTURE OF GRAPHS WHICH ARE LOCALLY INDISTINGUISHABLE FROM A LATTICE
For each integer $d\geqslant 3$ , we obtain a characterization of all graphs in which the ball of radius
ITAI BENJAMINI, DAVID ELLIS
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Identification of candidate metabolite biomarkers for metabolic syndrome and its five components in population-based human cohorts. [PDF]
Shi M +22 more
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A Sharp Threshold Phenomenon in String Graphs. [PDF]
Tomon I.
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