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S-functions for graphs

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Abstract

S-functions are mappings from the class of finite graphs into the set of integers, such that certain formal conditions are fulfilled which are shared by the chromatic number, the vertex-connectivity, and the homomorphism-degree. The S-functions form a complete lattice (with respect to their natural partial order). The classes of graphs with values <n under some S-function are studied from a general point of view, and uncountably many S-functions are constructed. Further for every n≥5 a non-trivial base-element of

(see K. WAGNER [7]) is constructed.

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Herrn W. BURAU zum 70. Geburtstag gewidmet

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Halin, R. S-functions for graphs. J Geom 8, 171–186 (1976). https://doi.org/10.1007/BF01917434

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  • DOI: https://doi.org/10.1007/BF01917434

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