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All Journal JURNAL MATEMATIKA STATISTIKA DAN KOMPUTASI
Sri Indrayani
Department of Mathematics, Faculty of Mathematics and Natural Sciences, Hasanuddin University, Indonesia
Mathematics

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Connected Size Ramsey Numbers for The Pair Complete Graph of Order Two versus Union Complete Graph of Order Three Hasmawati Hasmawati; Sri Indrayani
Jurnal Matematika, Statistika dan Komputasi Vol. 21 No. 2 (2025): JANUARY 2025
Publisher : Department of Mathematics, Hasanuddin University

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.20956/j.v21i2.41850

Abstract

Let F,G, and H be finite, simple, and undirected graphs. The connected size Ramsey number r ̂_c (G,H) of graph G and H is the least integer k such that there is a connected graph F with k edges and if the edge set of F is arbitrarily colored by red or blue, then there always exists either a red copy of G or a blue copy of H. This paper shows that the connected size Ramsey number r ̂_c (2K_2,〖nK〗_3 )=4n+3, for n≥4.
Co-Authors Hasmawati Hasmawati