Results 61 to 70 of about 992 (103)

Sharp Upper Bounds on the Clar Number of Fullerene Graphs

open access: yesDiscussiones Mathematicae Graph Theory, 2018
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
doaj   +1 more source

On the Hamiltonian Number of a Plane Graph

open access: yesDiscussiones Mathematicae Graph Theory, 2019
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.
doaj   +1 more source

Facial Rainbow Coloring of Plane Graphs

open access: yesDiscussiones Mathematicae Graph Theory, 2019
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
doaj   +1 more source

Chromatic number of Euclidean plane

open access: yes, 2015
If the chromatic number of Euclidean plane is larger than four, but it is known that the chromatic number of planar graphs is equal to four, then how does one explain it? In my opinion, they are contradictory to each other. This idea leads to confirm the
Wang, Kai-Rui
core  

Financial fallout from the COVID-19 pandemic:Report from a high-volume academic neurosurgery. [PDF]

open access: yesNeurochirurgie, 2022
Loganadane G   +13 more
europepmc   +1 more source

UNIFORM SPANNING FORESTS OF PLANAR GRAPHS

open access: yesForum of Mathematics, Sigma, 2019
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
doaj   +1 more source

The non-commuting graph of a non-central hypergroup

open access: yesOpen Mathematics, 2019
The aim of this paper is to construct and study the properties of a certain graph associated with a non-central hypergroup, i.e. a hypergroup having non-commutative the associated fundamental group.
Iranmanesh Mahdiyeh   +2 more
doaj   +1 more source

A Continuum-Tensegrity Computational Model for Chondrocyte Biomechanics in AFM Indentation and Micropipette Aspiration. [PDF]

open access: yesAnn Biomed Eng, 2022
Arduino A   +5 more
europepmc   +1 more source

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