It is shown that the Ramsey number r(K2,s+1,K1,n)≤n+√sn+(s+3)/2+o(1)for large n, and r(K2,s+1, K1,n) ∈{(q-1)^2/s + 1,(q-1)^2/s+2},where n =(q-1)^2/s -q+2 and q is a prime power such that s|...It is shown that the Ramsey number r(K2,s+1,K1,n)≤n+√sn+(s+3)/2+o(1)for large n, and r(K2,s+1, K1,n) ∈{(q-1)^2/s + 1,(q-1)^2/s+2},where n =(q-1)^2/s -q+2 and q is a prime power such that s|(q - 1).展开更多
文摘It is shown that the Ramsey number r(K2,s+1,K1,n)≤n+√sn+(s+3)/2+o(1)for large n, and r(K2,s+1, K1,n) ∈{(q-1)^2/s + 1,(q-1)^2/s+2},where n =(q-1)^2/s -q+2 and q is a prime power such that s|(q - 1).