Results 81 to 90 of about 1,024 (103)

A generalization of Ramsey theory for linear forests

International Journal of Computer Mathematics, 2012
Chung and Liu defined the d - chromatic Ramsey numbers as a generalization of Ramsey numbers by replacing the usual condition with a slightly weaker condition. Let 1 d c and let . Assume A 1, A 2,..., A t are all d -subsets of a set containing c distinct colours. Let G 1, G 2,..., G t be graphs.
A. Khamseh, G. R. Omidi
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Generalized ramsey theory VIII. The size ramsey number of small graphs

1983
The ramsey number r(F) of a graph F with no isolates has been much studied. We now investigate its size Ramsey number ζ(F) defined as the minimum q such that there exists a graph G with q edges for which every 2-coloring of E(G) has a monochromatic F.
Frank Harary, Zevi Miller
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A survey of generalized ramsey theory

1974
This is a progress report on a very dynamic branch of graph theory. We begin with a historical review of the origins of generalized ramsey theory and then indicate the small graphs for which the diagonal ramsey numbers are now known. The ramsey multiplicity of a graph is taken up and applied to ramsey games. We conclude with a listing of those families
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Sraffa’s Conceptualization of Own Rates Is Based only on Probabilistic Price Expectations because Sraffa Accepted Ramsey’s Definition that Confidence Is Measured by Subjective Probability Alone: Keynes’s Liquidity Preference Function in the General Theory Has Nothing to Do with Probability, but Is An Inverse Function of the Evidential Weight of the Argument, Where Uncertainty Is also Defined as An Inverse Function of the Evidential Weight of the Argument

SSRN Electronic Journal, 2021
Sraffa made a number of margin notes in chapter 17 in his copy of the General Theory .Contrary to Joan Robinson’s 1978 claim ,that Sraffa had uncovered logical and mathematical errors in Keynes’s liquidity preference theory of the rate of interest when he generalized his theory in chapter 17,the margin notes made by Sraffa are all erroneous . Sraffa’
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Ramsey theory for a generalized fan versus triangles

Utilitas Mathematica
<p>In this paper, we consider Ramsey and Gallai-Ramsey numbers for a generalized fan <span class="math inline">\(F_{t,n}:=K_1+nK_t\)</span> versus triangles. Besides providing some general lower bounds, our main results include the evaluations of <span class="math inline">\(r(F_{3,2}, K_3)=13\)</span> and <span class ...
Mark Budden, Richard Prange
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Generalized ramsey theory XV: Achievement and avoidance games for bipartite graphs

1984
Let two opponents, Oh and Ex, play the following game on the complete bipartite graph Kn,n. Oh colors one of the edges green and Ex colors a different edge red, and so on. The goal of each player is to be the first one to construct in his own color a predetermined bipartite graph M with no isolated points.
Martin Erickson, Frank Harary
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Generalized ramsey theory for graphs - a survey

1974
Almost nonexistent a few years ago, the field of generalized Ramsey theory for graphs is now being pursued very actively and with remarkable success. This survey paper will emphasize the following class of problems: Given graphs G1, ..., Gc, determine or estimate the Ramsey number r(G1, ..., Gc), the smallest number p such that if the lines of a ...
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Generalized Ramsey Numbers Involving Subdivision Graphs, And Related Problems in Graph Theory

1980
Publisher Summary This chapter discusses generalized Ramsey numbers involving subdivision graphs and related problems in graph theory. It is assumed that if G1 and G2 are (simple) graphs, then the Ramsey number r(G1, G2) is the smallest integer n such that if one colors the complete graph Kn in two colors I and II, then either color I contains G1 as ...
S.A. Burr, P. Erdös
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On J M Keynes's Rejection, in General, of Ramsey's Subjective Theory of Probability: The KeynessTownshend Exchanges of 1937 and 1938

SSRN Electronic Journal, 2017
J M Keynes rejected Ramsey’s subjective theory of probability in general. He did accept Ramsey’s betting quotient approach in the special case where the weight of the evidence, w, equaled one so that all the probabilities were linear, additive, precise, exact, definite, single number answers.
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Recent results on generalized Ramsey theory for graphs

1972
Virtually all of the known results on generalized Ramsey theory for graphs have been reported here, and the most general method of proof was brute force. There is certainly a need for more powerful and general methods, but it is not certain that these exist.
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