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A lower estimate for the achromatic number of irreducible graphs

Attila Máté
<span title="">1981</span> <i title="Elsevier BV"> <a target="_blank" rel="noopener" href="https://fatcat.wiki/container/civgv5utqzhu7aj6voo6vc5vx4" style="color: black;">Discrete Mathematics</a> </i> &nbsp;
The achromatic number of a graph is the Iargest number uf independent sets its vertex set can be split into in such a way that the union of any two of the= sets is nlat independent.  ...  The xhromatic number of an irreducible graph with n vertices is shown to be 2 $o(l))log n/log log ~1, while an example of E&s shows that it need not be > log n/log 2+ 2 for any n.  ...  The aim of these notes is to estimate tht: achromatic number of an irreducible graph G, in terms of the number n of iti. vertices. P. Hell and IX.  ... 
<span class="external-identifiers"> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.1016/0012-365x(81)90164-3">doi:10.1016/0012-365x(81)90164-3</a> <a target="_blank" rel="external noopener" href="https://fatcat.wiki/release/oc2dibzsdvhy5bkjylcnj27drm">fatcat:oc2dibzsdvhy5bkjylcnj27drm</a> </span>
<a target="_blank" rel="noopener" href="https://web.archive.org/web/20190412150734/https://core.ac.uk/download/pdf/82182284.pdf" title="fulltext PDF download" data-goatcounter-click="serp-fulltext" data-goatcounter-title="serp-fulltext"> <button class="ui simple right pointing dropdown compact black labeled icon button serp-button"> <i class="icon ia-icon"></i> Web Archive [PDF] <div class="menu fulltext-thumbnail"> <img src="https://blobs.fatcat.wiki/thumbnail/pdf/a2/90/a290fce2b02096eb9d20586583c27e0099350b08.180px.jpg" alt="fulltext thumbnail" loading="lazy"> </div> </button> </a> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.1016/0012-365x(81)90164-3"> <button class="ui left aligned compact blue labeled icon button serp-button"> <i class="external alternate icon"></i> elsevier.com </button> </a>

Page 958 of Mathematical Reviews Vol. , Issue 82c [page]

<span title="">1982</span> <i title="American Mathematical Society"> <a target="_blank" rel="noopener" href="https://archive.org/details/pub_mathematical-reviews" style="color: black;">Mathematical Reviews </a> </i> &nbsp;
achromatic number of irreducible graphs.  ...  Here a countable number of graphs of genus | and graphs satisfying the relation p> 12(y— 1) have at least one vertex of degree no more than 6.” 82c:05058 Mate, Attila 82c:05060 A lower estimate for the  ... 
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Topological Graph Theory from Japan

Seiya NEGAMI
<span title="">2001</span> <i title="Graduate School of Information Sciences, Tohoku University"> <a target="_blank" rel="noopener" href="https://fatcat.wiki/container/kwub3pqoxbcqrjctr4lrwwfvhu" style="color: black;">Interdisciplinary Information Sciences</a> </i> &nbsp;
This is a survey of studies on topological graph theory developed by Japanese people in the recent two decades and presents a big bibliography including almost all papers written by Japanese topological  ...  graph theorists.  ...  for the achromatic number of maximal outerplanar graphs  ... 
<span class="external-identifiers"> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.4036/iis.2001.99">doi:10.4036/iis.2001.99</a> <a target="_blank" rel="external noopener" href="https://fatcat.wiki/release/6qxw75knznei5gjuzlfk6inxre">fatcat:6qxw75knznei5gjuzlfk6inxre</a> </span>
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Master index of volumes 141–150

<span title="">1996</span> <i title="Elsevier BV"> <a target="_blank" rel="noopener" href="https://fatcat.wiki/container/civgv5utqzhu7aj6voo6vc5vx4" style="color: black;">Discrete Mathematics</a> </i> &nbsp;
., The graph of the square mapping on the prime fields (Note) J.-F., Lower bounds for the size in four families of minimum broadcast graphs Sanyal, B.K., see M.K.  ...  -i., On a straight-line embedding problem of graphs 150 (1996) Tomescu, I., On the number of irreducible coverings by edges of complete bipartite graphs (Note) 150 (1996) Tonchev, V.D., The uniformly packed  ... 
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Master index of volumes 71–80

<span title="">1990</span> <i title="Elsevier BV"> <a target="_blank" rel="noopener" href="https://fatcat.wiki/container/civgv5utqzhu7aj6voo6vc5vx4" style="color: black;">Discrete Mathematics</a> </i> &nbsp;
Volkmann, Estimations for the domination number of a graph Flajolet, P., D.E. Knuth and B. Pittel, The first cycles in an evolving graph Foo, M.F., see Teh, H.H. Foulds, L.R. and R.W.  ...  , M.S., see Faudree, R.J. 76 (1989) 223 Jaeger, F., On the Penrose number of cubic diagrams 74 (1989) 85 Jamison, R.E., On the edge achromatic numbers of complete graphs 74 (1989) 99 Jamison, R.E  ...  A. 75 (1989)  ... 
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Color constancy investigated via partial hue-matching

A. D. Logvinenko, A. Beer
<span title="2012-04-30">2012</span> <i title="Association for Research in Vision and Ophthalmology (ARVO)"> <a target="_blank" rel="noopener" href="https://fatcat.wiki/container/rahwjcylyzhtlni57joehivgqm" style="color: black;">Journal of Vision</a> </i> &nbsp;
The same set of four component hues has been found under both the neutral and the chromatic illuminations for all of the observers.  ...  A new technique-partial hue-matching-has been used to reveal the component and unitary hues for a sample of 32 Munsell papers, which were illuminated by neutral, yellow, blue, green, and red lights and  ...  In order to estimate the robustness of unitary colors to a change of the illumination from neutral to chromatic, we evaluated for the unitary colors an index similar to the chromaticity class robustness  ... 
<span class="external-identifiers"> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.1167/12.4.17">doi:10.1167/12.4.17</a> <a target="_blank" rel="external noopener" href="https://www.ncbi.nlm.nih.gov/pubmed/22547571">pmid:22547571</a> <a target="_blank" rel="external noopener" href="https://fatcat.wiki/release/qnggv25fvrgcvonk27nixipywa">fatcat:qnggv25fvrgcvonk27nixipywa</a> </span>
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HIGH GRADIENT ACCELERATORS FOR LINEAR LIGHT SOURCES [chapter]

William A. BARLETTA
<span title="">1989</span> <i title="Elsevier"> High Gain, High Power Free Electron Laser: Physics and Application to Tev Particle Acceleration </i> &nbsp;
For quick estimates of the cost of powering the one can use the graph of rf cost vs total "tube" Rf cost vs.  ...  Installation and Engineering Support The installation costs for the base design were estimated for each component; for estimating purposes the installation costs can be taken as a fixed percentage of the  ...  Appendix A. COST SCALING ALGORITHM FOR BRANCHED DRIVES  ... 
<span class="external-identifiers"> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.1016/b978-0-444-87395-8.50010-8">doi:10.1016/b978-0-444-87395-8.50010-8</a> <a target="_blank" rel="external noopener" href="https://fatcat.wiki/release/xp35adefvjgrflstypcuspxiby">fatcat:xp35adefvjgrflstypcuspxiby</a> </span>
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The identification of individual chromosomes, especially in man

K PATAU
<span title="">1960</span> <i title="Elsevier"> <a target="_blank" rel="noopener" href="https://fatcat.wiki/container/ho5llzhlhzhmrlusxzz4j2bery" style="color: black;">American Journal of Human Genetics</a> </i> &nbsp;
A graph in which every chromosome of a complement is represented by a point contains, therefore, all relevant information.  ...  Thus, ( a direction of 450 (Fig. 3, A) . The problem of estimating q has now been reduced to that of estimating the size of this shift.  ... 
<span class="external-identifiers"> <a target="_blank" rel="external noopener" href="https://www.ncbi.nlm.nih.gov/pubmed/14430808">pmid:14430808</a> <a target="_blank" rel="external noopener" href="https://pubmed.ncbi.nlm.nih.gov/PMC1932254/">pmcid:PMC1932254</a> <a target="_blank" rel="external noopener" href="https://fatcat.wiki/release/iq54t2gdmrceznliuzv6t4vmla">fatcat:iq54t2gdmrceznliuzv6t4vmla</a> </span>
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Page 87 of Mathematical Reviews Vol. 14, Issue Index [page]

<i title="American Mathematical Society"> <a target="_blank" rel="noopener" href="https://archive.org/details/pub_mathematical-reviews" style="color: black;">Mathematical Reviews </a> </i> &nbsp;
(Russian) 82c:05059 Mate, Attila A lower estimate for the achromatic number of irreducible graphs 82c:05060 Maurer, Stephen B. (with Rabinovitch, Issie; Trotter, William T., Jr.)  ...  Estimates for the number of cliques of a graph with a given vertex independence number.  ... 
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Subpercent Photometry: Faint DA White Dwarf Spectrophotometric Standards for Astrophysical Observatories

Gautham Narayan, Thomas Matheson, Abhijit Saha, Tim Axelrod, Annalisa Calamida, Edward Olszewski, Jenna Claver, Kaisey S. Mandel, Ralph C. Bohlin, Jay B. Holberg, Susana Deustua, Armin Rest (+9 others)
<span title="2019-03-20">2019</span> <i title="American Astronomical Society"> <a target="_blank" rel="noopener" href="https://fatcat.wiki/container/b6oeh4xaordn7ia3d372ngy66q" style="color: black;">Astrophysical Journal Supplement Series</a> </i> &nbsp;
We have established a network of 19 faint (16.5 mag < V < 19 mag) northern and equatorial DA white dwarfs as spectrophotometric standards for present and future wide-field observatories.  ...  The high-precision of these faint sources make our network of standards ideally suited for any experiment that has very stringent requirements on flux calibration, such as studies of dark energy using  ...  observations for a large number of targets into a modest number of orbits.  ... 
<span class="external-identifiers"> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.3847/1538-4365/ab0557">doi:10.3847/1538-4365/ab0557</a> <a target="_blank" rel="external noopener" href="https://fatcat.wiki/release/hp47aikksvganpsww7qrhjpkcm">fatcat:hp47aikksvganpsww7qrhjpkcm</a> </span>
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Femtosecond-laser-irradiation-induced structural organization and crystallinity of Bi2WO6

Ivo M. Pinatti, Amanda F. Gouveia, C. Doñate-Buendía, Gladys Mínguez-Vega, Juan Andrés, Elson Longo
<span title="2020-03-12">2020</span> <i title="Springer Science and Business Media LLC"> <a target="_blank" rel="noopener" href="https://fatcat.wiki/container/tnqhc2x2aneavcd3gx5h7mswhm" style="color: black;">Scientific Reports</a> </i> &nbsp;
In this work, we report a strong enhancement of the structural organization and crystallinity of Bi2WO6 samples synthetized by a microwave-assisted hydrothermal method after exposing them to femtosecond  ...  These effects can be considered a clear cut case of surface-enhanced Raman scattering.  ...  Acknowledgements The authors appreciate the support of the Brazilian research financing institution FAPESP (grant no. 2013/07296-2).  ... 
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Distinct magneto-Raman signatures of spin-flip phase transitions in CrI3 [article]

Amber McCreary, Thuc T. Mai, Franz G. Utermohlen, Jeffrey R. Simpson, Kevin F. Garrity, Xiaozhou Feng, Dmitry Shcherbakov, Yanglin Zhu, Jin Hu, Daniel Weber, Kenji Watanabe, Takashi Taniguchi (+7 others)
<span title="2020-04-06">2020</span> <i > arXiv </i> &nbsp; <span class="release-stage" >pre-print</span>
We observe a striking evolution of the Raman spectra with increasing magnetic field in which clear, sudden changes in intensities of the modes are attributed to the interlayer ordering changing from antiferromagnetic  ...  The discovery of 2-dimensional (2D) materials, such as CrI3, that retain magnetic ordering at monolayer thickness has resulted in a surge of research in 2D magnetism from both pure and applied perspectives  ...  However, for the pairs of modes highlighted in red, the splitting is significant, with the mode from A at a lower frequency than the one from Γ.  ... 
<span class="external-identifiers"> <a target="_blank" rel="external noopener" href="https://arxiv.org/abs/1910.01237v3">arXiv:1910.01237v3</a> <a target="_blank" rel="external noopener" href="https://fatcat.wiki/release/wzkgzkn7drfxfgzfbvujxhar4m">fatcat:wzkgzkn7drfxfgzfbvujxhar4m</a> </span>
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Page 1345 of Mathematical Reviews Vol. 26, Issue Index [page]

<i title="American Mathematical Society"> <a target="_blank" rel="noopener" href="https://archive.org/details/pub_mathematical-reviews" style="color: black;">Mathematical Reviews </a> </i> &nbsp;
Yageen On a class of unbiased estimators of the parameter @ of the uniform distribution over [9 — ,@ + 4].  ...  (Summary) 94i:68161 68Q45 (03B15) Thomason, Andrew (with Bollobas, Béla; Reed, Bruce) An extremal function for the achromatic number.  ... 
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Brightness in human rod vision depends on slow neural adaptation to quantum statistics of light

Michael E. Rudd, Fred Rieke
<span title="2016-11-30">2016</span> <i title="Association for Research in Vision and Ophthalmology (ARVO)"> <a target="_blank" rel="noopener" href="https://fatcat.wiki/container/rahwjcylyzhtlni57joehivgqm" style="color: black;">Journal of Vision</a> </i> &nbsp;
We show that the brightness gain control: 1) affects the brightness of high-intensity suprathreshold flashes for which assumptions of the de Vries-Rose theory are strongly violated; 2) exhibits a long  ...  However, previous work by Brown and Rudd (1998) demonstrated that the square-root law also holds for suprathreshold brightness judgments, a finding that supports an alternative explanation of the square-root  ...  Acknowledgments The authors wish to thank Bill Geisler, Adam Reeves, and  ... 
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Page 517 of Mathematical Reviews Vol. 14, Issue Index [page]

<i title="American Mathematical Society"> <a target="_blank" rel="noopener" href="https://archive.org/details/pub_mathematical-reviews" style="color: black;">Mathematical Reviews </a> </i> &nbsp;
(Polish and Russian summaries) Rozprawy Ini. 27 (1979), no. 4, 559-574 (1980) (From the summary) 82e:73074 73M05 (73C45) Mate, Attila A lower estimate for the achromatic number of irreducible graphs.  ...  Lower bounds for heights on elliptic curves. Math. Z. 174 (1980), no. 1, 23-34. (Daniel Bertrand) 82g:10049 10F35 (14G25) Small values of the quadratic part of the Néron-Tate height.  ... 
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