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Computer science
On upper bound of vertex distinguishing word length on vertex labeled graph
S. V. Sapunov Institute of Applied Mathematics and Mechanics, National Academy of Sciences of Ukraine, Ukraine, 83114, Donetsk, R. Luxemburg st., 74
Abstract:
The problem of vertex distinguishing on vertex labeled graphs is considered. Two vertices are called distinguishable if associated languages over the alphabet of labels are different. A linear upper bound of vertex distinguishing word length equal to half the number of vertices is obtained.
Key words:
vertex labeled graphs, languages over the label alphabet, vertex equivalence.
Citation:
S. V. Sapunov, “On upper bound of vertex distinguishing word length on vertex labeled graph”, Izv. Saratov Univ. Math. Mech. Inform., 13:2(1) (2013), 105–111
Linking options:
https://www.mathnet.ru/eng/isu403 https://www.mathnet.ru/eng/isu/v13/i3/p105
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