The number of -matchings in almost every tree is a zero residue.
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Alon, Noga, Haber, Simi, Krivelevich, Michael (2011)
The Electronic Journal of Combinatorics [electronic only]
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The concept of median of a tree is modified, considering only distances from the terminal vertices instead of distances from all vertices.
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We study models of spatial growth processes where initially there are sources of growth (indicated by the colour green) and sources of a growth-stopping (paralyzing) substance (indicated by red). The green sources expand and may merge with others (there is no ‘inter-green’ competition). The red substance remains passive as long as it is isolated. However, when a green cluster comes in touch with the red substance, it is immediately invaded by the latter, stops growing and starts to act...