Results 121 to 130 of about 1,379,637 (289)
Monotone Drawings of $k$-Inner Planar Graphs [PDF]
arXiv, 2018 A $k$-inner planar graph is a planar graph that has a plane drawing with at most $k$ {internal vertices}, i.e., vertices that do not lie on the boundary of the outer face of its drawing. An outerplanar graph is a $0$-inner planar graph. In this paper, we show how to construct a monotone drawing of a $k$-inner planar graph on a $2(k+1)n \times 2(k+1)n ...
arxiv
Shape‐Stabilization of Phase Change Materials with Carbon‐Conscious Poly(hydroxy)Urethane Foams
Advanced Functional Materials, EarlyView.Poly(hydroxy)urethane (PHU) foam, derivable from carbon dioxide (CO2) and bio‐based resources, is a promising material platform for shape‐stabilizing phase change materials (PCMs). We demonstrate the encapsulation of both paraffins and calcium chloride hexahydrate in PHU foam, achieving 48 stable thermal cycles by introducing 5 wt.% barium carbonate ...
Minjung Lee +5 more
wiley +1 more source
Cubic identity graphs and planar graphs derived from trees [PDF]
, 1970 A. T. Balaban +4 more
openalex +1 more source
Free Minor Closed Classes and the Kuratowski theorem [PDF]
arXiv, 2009 Free-minor closed classes [2] and free-planar graphs [3] are considered. Versions of Kuratowski-like theorem for free-planar graphs and Kuratowski theorem for planar graphs are considered.
arxiv
Advanced Functional Materials, EarlyView.This review synthesizes the evolution of radiative heat transfer, emphasizing the transition from far‐field to near‐field regimes. Traditional frameworks, such as Planck's law, are revisited alongside modern innovations like fluctuational electrodynamics. Applications span nanoscale thermal management, energy harvesting, and thermophotovoltaic systems.
Ambali Alade Odebowale +6 more
wiley +1 more source
Gröbner Basis Convex Polytopes and Planar Graph [PDF]
arXiv, 2012 Using the Gr\"obner basis of an ideal generated by a family of polynomials we prove that every planar graph is 4-colorable. Here we also use the fact that the complete graph of 5 vertices is not included in any planar graph.
arxiv
Advanced Functional Materials, EarlyView.Bi‐directionally assembled BN µ‐platelets in micropatterns formed by a micro‐molding method for thermal interface materials are demonstrated. The BN µ‐platelets are vertically aligned selectively, while compressed regions without patterns accommodate horizontally assembled BN µ‐platelets. Through anisotropic orientation, high thermal conductivities for
Young Gil Kim +12 more
wiley +1 more source
A note on quasi-transitive graphs quasi-isometric to planar (Cayley) graphs [PDF]
arXivGiven a connected, locally finite, quasi-transitive graph $X$ which is quasi-isometric to a planar graph $\Gamma$, we remark that one can upgrade $\Gamma$ to be a planar Cayley graph, answering a question raised by Esperet--Giocanti and Hamann.
arxiv
Non-separating Planar Graphs [PDF]
arXiv, 2019 A graph $G$ is a non-separating planar graph if there is a drawing $D$ of $G$ on the plane such that (1) no two edges cross each other in $D$ and (2) for any cycle $C$ in $D$, any two vertices not in $C$ are on the same side of $C$ in $D$. Non-separating planar graphs are closed under taking minors and are a subclass of planar graphs and a superclass
arxiv