Principle homomorphism

Theoretical Computer Science, Rutgers University Press, New Brunswick, New Jersey, 1997, pp. 113-122. Algorithms for Group Actions Homomorphism Principle and Orderly Generation Applied to Graphs. 

Theorem (The Homomorphism Principle for group actions) Suppose we are given two finite actions qX and qZ. Assume that we have a transversal ofG Z and a surjec-... 

An interesting step towards orderly generation of unlabeled m-multigraphs is the use of the Homomorphism Principle (see Theorem 3.32) as shown in [24]. The point is that the following 0 , which maps m-multigraphs onto m - 1-multigraphs,... 

The solubility parameter contributed to non-polar forces by dispei-sion was evaluated on the basis of the homomorph principle [106, 107]. The homomorph of a polar substance is the saturated hydrocarbon whose dimension and form are closest to those of the substance in question. The contribution of cohesive forces to the overall cohesive energy equals that of the homomorph at the same reduced temperature the difference is assigned to polar forces and hydrogen bonds. 

The homomorph concept may also be used here in the case of hydrogen-bonded liquids. Equation 2.39a provides the component In principle, then, we may obtain the polar component of the solnbility parameter as follows ... 

The SA value of an acid solvent as determined using the DETZ probe is calculated using the expression established from the information provided by a series of solvents of increased acidity measurable by the TBSB/DTBSB probe/homomorph couple (viz. 1,2-butanediol, 1,3,-butanediol, ethanol, methanol and hexafluoro-2-propanol) this gives rise to eq. [10.3.14], which, in principle, should only be used to determine SA for solvents with Avr,FT7 values above 100 cm" ... 

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