TY - JOUR

T1 - Restricted size Ramsey number for 2K2 versus disconnected graphs of order six

AU - Safitri, E.

AU - John, P.

AU - Silaban, D. R.

N1 - Funding Information:
Part of this research is funded by PUTI-UI 2020 Research Grant No. NKB-942/UN2.RST/HKP.05.00/2020.
Publisher Copyright:
© 2021 Institute of Physics Publishing. All rights reserved.
Copyright:
Copyright 2021 Elsevier B.V., All rights reserved.

PY - 2021/1/7

Y1 - 2021/1/7

N2 - Given simple graphs F, G, and H. We say F arrows (G, H) if for any red-blue coloring of the edge of F, we find either a red-colored graph G or a blue-colored graph H. The Ramsey number r(G, H) is the smallest positive integer r such that a complete graph K,r arrows (G, H). The size Ramsey number is the smallest positive integer r such that a graph F with the size of r arrows (G, H). The restricted size Ramsey number is the smallest positive integer r∗ such that a graph size Ramsey F, of order number r(G, of H) a matching with the size of two of r edges ∗, arrows and (any G, H disconnected ). In this paper graphs we give of order the restricted six with no isolates.

AB - Given simple graphs F, G, and H. We say F arrows (G, H) if for any red-blue coloring of the edge of F, we find either a red-colored graph G or a blue-colored graph H. The Ramsey number r(G, H) is the smallest positive integer r such that a complete graph K,r arrows (G, H). The size Ramsey number is the smallest positive integer r such that a graph F with the size of r arrows (G, H). The restricted size Ramsey number is the smallest positive integer r∗ such that a graph size Ramsey F, of order number r(G, of H) a matching with the size of two of r edges ∗, arrows and (any G, H disconnected ). In this paper graphs we give of order the restricted six with no isolates.

UR - http://www.scopus.com/inward/record.url?scp=85100702412&partnerID=8YFLogxK

U2 - 10.1088/1742-6596/1722/1/012048

DO - 10.1088/1742-6596/1722/1/012048

M3 - Conference article

AN - SCOPUS:85100702412

SN - 1742-6588

VL - 1722

JO - Journal of Physics: Conference Series

JF - Journal of Physics: Conference Series

IS - 1

M1 - 012048

T2 - 10th International Conference and Workshop on High Dimensional Data Analysis, ICW-HDDA 2020

Y2 - 12 October 2020 through 15 October 2020

ER -