简介：Inthisarticle,weintroduceanotionofnonuniformwaveletframesonlocalfieldsofpositivecharacteristic.Furthermore,wegaveacompletecharacterizationoftightnonuniformwaveletframesonlocalfieldsofpositivecharacteristicviaFouriertransform.OurresultsalsoholdfortheCantordyadicgroupandtheVilenkingroupsastheyarelocalfieldsofpositivecharacteristic.
简介：Itisprovedthatevery3-connectedlooplessmultigraphhasmaximumgenusatleastone-thirdofitscyclerankplusoneifitscyclerankisnotlessthanten,andifitscyclerankislessthanten,itisupper-embeddable.Thislowerboundistight.Thereareinfinitelymany3-connectedlooplessmultigraphsattainingthisbound.
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