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 -