On path-quasar Ramsey numbers
Binlong Li, Bo Ning (2014)
Annales Universitatis Mariae Curie-Sklodowska, sectio A – Mathematica
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Let and be two given graphs. The Ramsey number is the least integer such that for every graph on vertices, either contains a or contains a . Parsons gave a recursive formula to determine the values of , where is a path on vertices and is a star on vertices. In this note, we study the Ramsey numbers , where is a linear forest on vertices. We determine the exact values of for the cases and , and for the case that has no odd component. Moreover, we...