Add to ORKGA simple form of Ramsey's theorem says that for any positive integer $m$, there exists an $n=R(m)$ so that no matter how the pairs of an $n$-set are partitioned into two colours, some $m$-subset has all its pairs the same colour. In terms of graphs, this says if the edges of a $K_n$ are 2-coloured, a monochromatic copy of $K_m$ (as a subgraph) can always be found. Such a statement is often expressed in ``Ramsey arrow'' notation. A short survey of Ramsey arrows for graphs is given, culminating in a characterization found with Rodl and Sauer of those triples $G,H,r$ for which there is an $F$ that arrows $G$ when colouring $H$s with $r$ colours.Non UBCUnreviewedAuthor affiliation: University of ManitobaFacult
Given graphs $G$ and $H$, we say $G \stackrel{r}{\to} H$ if every $r$-colouring of the edges of $G$ ...
A graph G is Ramsey for H if every two-colouring of the edges of G contains a monochromatic copy of ...
This BCs thesis deals with topics from graph theory. Ramsey theory in its most basic form deals with...
A simple form of Ramsey's theorem says that for any positive integer $m$, there exists an $n=R(m)$ s...
n.+ (u): is the well known arrow symbol introduced by ERD~S and RADO [l]. It means that if we color ...
This MSc thesis deals with a theory, which comes from combinatorics. According to Ramsey's theorem f...
AbstractFor a graph F and natural numbers a1,…,ar, let F→(a1,…,ar) denote the property that for each...
In 1930, Frank Ramsey showed that one will find a monochromatic clique of a specified size in any ed...
Given a graph H, the Ramsey number r(H) is the smallest natural number N such that any two-colouring...
Given a graph H, the Ramsey number r(H) is the smallest natural number N such that any two-colouring...
We consider a generalisation of the classical Ramsey theory setting to a setting where each of the e...
Given a graph H, the Ramsey number r(H) is the smallest natural number N such that any two-colouring...
Given a graph H, the Ramsey number r(H) is the smallest natural number N such that any two-colouring...
AbstractFor a graph G let RM(G) be the smallest integer R, if it exists, such that every coloring of...
AbstractLet Cn denote the cycle of length n. The generalized Ramsey number of the pair (Cn,Ck), deno...
Given graphs $G$ and $H$, we say $G \stackrel{r}{\to} H$ if every $r$-colouring of the edges of $G$ ...
A graph G is Ramsey for H if every two-colouring of the edges of G contains a monochromatic copy of ...
This BCs thesis deals with topics from graph theory. Ramsey theory in its most basic form deals with...
A simple form of Ramsey's theorem says that for any positive integer $m$, there exists an $n=R(m)$ s...
n.+ (u): is the well known arrow symbol introduced by ERD~S and RADO [l]. It means that if we color ...
This MSc thesis deals with a theory, which comes from combinatorics. According to Ramsey's theorem f...
AbstractFor a graph F and natural numbers a1,…,ar, let F→(a1,…,ar) denote the property that for each...
In 1930, Frank Ramsey showed that one will find a monochromatic clique of a specified size in any ed...
Given a graph H, the Ramsey number r(H) is the smallest natural number N such that any two-colouring...
Given a graph H, the Ramsey number r(H) is the smallest natural number N such that any two-colouring...
We consider a generalisation of the classical Ramsey theory setting to a setting where each of the e...
Given a graph H, the Ramsey number r(H) is the smallest natural number N such that any two-colouring...
Given a graph H, the Ramsey number r(H) is the smallest natural number N such that any two-colouring...
AbstractFor a graph G let RM(G) be the smallest integer R, if it exists, such that every coloring of...
AbstractLet Cn denote the cycle of length n. The generalized Ramsey number of the pair (Cn,Ck), deno...
Given graphs $G$ and $H$, we say $G \stackrel{r}{\to} H$ if every $r$-colouring of the edges of $G$ ...
A graph G is Ramsey for H if every two-colouring of the edges of G contains a monochromatic copy of ...
This BCs thesis deals with topics from graph theory. Ramsey theory in its most basic form deals with...