Results 231 to 240 of about 11,868 (264)

Densities, Matchings, and Fractional Edge-Colorings

SIAM Journal on Optimization, 2019
Summary: Given a multigraph \(G=(V,E)\) with a positive rational weight \(w(e)\) on each edge \(e\), the weighted density problem (WDP) is to find a subset \(U\) of \(V\), with \(| U|\geq 3\) and odd, that maximizes \(2w(U)/(| U|-1)\), where \(w(U)\) is the total weight of all edges with both ends in \(U\), and the weighted fractional edge-coloring ...
Chen, Xujin, Zang, Wenan, Zhao, Qiulan
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Fractional Coloring Planar Graphs under Steinberg-type Conditions

Acta Mathematica Sinica, English Series, 2022
A Steinberg-type conjecture on circular coloring recently proposed that for any prime \(p\geq 5\), every planar graph of girth \(p\) without cycles of length \(q\), with \(p+1\leq q\leq p(p-2)\), is \(C_p\)-colorable (that is to say, it admits a homomorphism to the cycle \(C_p\)). This conjecture implies a special case of \textit{F.
Hu, Xiao Lan, Li, Jia Ao
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Real color fractional Fourier transform holograms

Optics Communications, 2006
Real color fractional Fourier transform holography is proposed based on fractional Fourier transform holography. The method of fabrication, the principle of reconstruction and the design of system parameters are discussed in detail. The experiments prove real color fractional Fourier transform holograms possess the better function of anti-counterfeit ...
Weimin Jin, Lihong Ma, Caijie Yan
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Fractional pyramids for color image segmentation

Proceeding of Southwest Symposium on Image Analysis and Interpretation, 2002
We describe a pyramid structure introduced by Burt (1981) called fractional pyramid. That structure is based on the rigid Gaussian pyramid. In such a structure the reduction factor between two level is given by a fraction k/sub 1//k/sub 2/. This presents the advantage of increasing the number of levels, and slows the loss of information during the ...
V. Lozano, B. Laget
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Colored monopoles, Cheshire color, and unconfined fractional electric charge

Physical Review D, 1994
Stable magnetic monopoles formed in phase transitions in the early Universe in general carry colored as well as ordinary (electromagnetic) magnetic charge. We argue that isolated quarks can induce a ``Cheshire'' color electric charge on such monopoles and form colorless finite energy quark-monopole bound states which will exhibit unconfined fractional ...
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Fractional colorings with large denominators

Journal of Graph Theory, 1995
AbstractThe m‐chromatic number χm(G) of a graph G is the fewest colors needed so each node has m colors and no color appears on adjacent nodes. The fractional chromatic number is χ*(G)=limm→∞χm(G)/m. Let m(G) be the least m so that χ* (G) = χm(G)/m.
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FRACTIONAL CHARGED COLOR SINGLET STATES AND STRING UNIFICATION

Modern Physics Letters A, 1992
The question of whether contributions of exotic multiplets of the gauge group to the running of gauge coupling constants from the string scale to low energy can lead to consistency with the precision low energy values of gauge couplings is discussed for theories with SO(6)×SO(4), SU(3)×SU(3)×SU(3) and flipped SU(5)×U(1) grand unification.
Bailin, David, Love, Alex
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