Results 101 to 110 of about 10,769 (289)
The chromatic index of graphs with large maximum degree [PDF]
, 1983 By Vizing's Theorem, any graph G has chromatic index equal either to its maximum degree [Delta](G) or [Delta](G) + 1. A simple method is given for determining exactly the chromatic index of any graph with 2s + 2 vertices and maximum degree 2s.Peer ...
Plantholt, Michael J.
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Strong Chromatic Index Of Planar Graphs With Large Girth
Discussiones Mathematicae Graph Theory, 2014 Let Δ ≥ 4 be an integer. In this note, we prove that every planar graph with maximum degree Δ and girth at least 1 Δ+46 is strong (2Δ−1)-edgecolorable, that is best possible (in terms of number of colors) as soon as G contains two adjacent vertices of ...
Jennhwa Chang Gerard +3 more
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Advanced Science, EarlyView.Optimizing the heterointerface coverage of the conducting Ni2P nanoparticles on the surface of BVO photoanode manipulates the surface Fermi‐level modulation, which significantly enhances photoelectrochemical oxygen evolution reaction. Our multiscale simulations and experimental results reveal that an optimal Ni2P coverage of 9.4% pins the surface Fermi
Phuong Thi Pham +14 more
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The chromatic index of graphs with a spanning star [PDF]
, 1981 Vizing’s Theorem states that any graph G has chromatic index either the maximum degree Δ(G) or Δ(G) + 1. If G has 2s + 1 points and Δ(G) = 2s, a well‐known necessary condition for the chromatic index to equal 2s is that G have at most 2s2 lines.
Mike Plantholt, Plantholt, Mike
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Advanced Science, EarlyView.Precursor stoichiometry programs the surface chemistry of carbon dots, directing their self‐assembly into distinct aggregation modes. Aldehyde‐enriched surfaces form ordered, hydrogen‐bonded assemblies that enable bright red solid‐state fluorescence, whereas amine‐rich surfaces promote compact π–π stacked aggregates with broadband visible‐light ...
Gaixia Yang +8 more
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Urban ScienceFaçades play a decisive role in shaping the visual and symbolic character of historic urban environments. Recent European funding schemes promoting energy-efficient retrofitting have accelerated interventions on building envelopes.
Maialen Sagarna +6 more
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TRIM: Simultaneous Thermometry, Ranging, and Imaging via a Monolithic Metalens
Advanced Science, EarlyView.ABSTRACT While metasurfaces offer a pathway beyond the discrete architectures of conventional LWIR systems, physically fusing high‐precision thermometry and passive ranging onto a single metalens remains a formidable challenge. Here, we demonstrate a monolithic, dual‐focus metalens capable of simultaneous multidimensional sensing.
Man Yuan +10 more
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The Strong Chromatic Index of Complete Halin Graphs
MathematicsThe strong edge coloring of a graph G is an assignment of colors to the edges of G such that two distinct edges are colored differently if they are incident to a common edge or share an endpoint. The strong chromatic index of a graph G, denoted by χs′(G),
Zhiwei Bi, Yunfang Tang
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Advanced Science, EarlyView.This study demonstrates, for the first time, the use of a large‐format high‐pressure press to modify synthesized Li2SrSiO4:Eu2+,Cs+ phosphors after its preparation. The pressure treatment results in the formation of new materials with distinctive optical properties, opening pathways for the development of advanced LED devices and high‐performance ...
Przemysław Woźny +9 more
wiley +1 more source
The distance-t chromatic index of graphs [PDF]
, 2020 For a fixed positive integer t, we consider graph colouring problems in which edges at distance at most t are given distinct colours. We obtain two upper bounds for the distance-t chromatic index, the least number of colours necessary for such a ...
Tomáš Kaiser, Ross J Kang
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