This paper completes our studies on the Ramsey number _{n}, G_{n}_{n}, G_{n}_{n}, G_{n}_{2,2,2}, then _{n}, G_{n}_{2,2,2}) and for _{n}, G_{n}, G_{n}_{n}, G_{n}_{2,2,2}, and _{n}, K_{2,2,2}) is determined for a class of trees _{n}_{n}, G_{n}_{n}_{n}_{2,}_{n−2}_{3} with an end-vertex of a path _{n−2}_{2,}_{n−2}_{m}

#### Keywords

- Ramsey number
- Ramsey goodness
- tree
- star
- path
- broom
- small graph

#### MSC 2010

- 05C55
- 05D10

_{n}_{6} − 3_{2}), J. Combin. Math. Combin. Comput., to appear.

_{4}

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