Open AccessNote on the weight of paths in plane triangulations of minimum degree 4 and 5
Author(s) -
Tomáš Madaras
Publication year - 2000
Publication title -
discussiones mathematicae graph theory
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.476
H-Index - 19
eISSN - 2083-5892
pISSN - 1234-3099
DOI - 10.7151/dmgt.1117
Subject(s) - mathematics , degree (music) , combinatorics , plane (geometry) , geometry , physics , acoustics
The weight of a path in a graph is defined to be the sum of degrees of its vertices in entire graph. It is proved that each plane triangulation of minimum degree 5 contains a path P5 on 5 vertices of weight at most 29, the bound being precise, and each plane triangulation of minimum degree 4 contains a path P4 on 4 vertices of weight at most 31.
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