Browsing Mathematics, Statistics & Physics by Subject "Ramsey number"
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A note on the Ramsey numbers for theta graphs versus the wheel of order 5
( Kalasalingam University , 2018 , Article)The study of exact values and bounds on the Ramsey numbers of graphs forms an important family of problems in the extremal graph theory. For a set of graphs S and a graph F, the Ramsey number R(S,F) is the smallest positive ... -
The Ramsey number for two graphs of order 5
( Taylor and Francis Ltd. , 2018 , Article)For two graphs F1 and F2, the Ramsey number R(F1, F2) is the smallest positive integer r such that for every graph G on r vertices, G contains F1 as a subgraph or the complement of G contains F2 as a subgraph. We present ... -
The theta-complete graph Ramsey number R(θn K5) = 4n - 3 for n = 6 and n≥ 10
( Charles Babbage Research Centre , 2017 , Article)For any two graphs F1 and F2, the graph Ramsey number r(F1, F2) is the smallest positive integer N with the property that every graph of at least N vertices contains F1 or its complement contains F2 as a subgraph. In this ...