简介:用构造法研究了路和圈的Mycielski图的点可区别均匀边染色,得到了路和圈的Mycielski图的点可区别均匀边色数,验证了它们满足点可区别均匀边染色猜想(VDEECC).
简介:ConstantineM.Dafermoshasdoneextensiveresearchattheinterfaceofpartialdifferentialequationsandcontinuumphysics.Heisaworldleaderinnonlinearhyperbolicconservationlaws,whereheintroducedseveralfundamentalmethodsinthesubjectincludingthemethodsofrelativeentropy,generalizedcharacteristics,andwave-fronttracking,aswellastheentropyratecriterionfortheselectionofadmissiblewavefans.Hehasalsomadefundamentalcontributionsonthemathematicaltheoryoftheequationsofthermomechanicsasitpertainsinmodelingandanalysisofmaterialswithmemory,thermoelasticity,andthermoviscoelasticity.Hisworkisdistinctlycharacterizedbyanunderstandingofthefundamentalissuesofcontinuumphysicsandtheirroleindevelopingnewtechniquesofmathematicalanalysis.