Add to ORKGA graph is f-choosable if for every collection of lists with list sizes speci ed by f there is a proper coloring using colors from the lists. The sum choice number is the minimum over all choosable functions f of the sum of the sizes in f . We show that the sum choice number of a 2 n array (equivalent to list edge coloring K 2;n and to list vertex coloring the cartesian product K 2 2K n ) is n + d5n=3e
A proper coloring of a graph is an assignment of colors to the vertices so that no two adjacent vert...
Let G be a graph and ϕ:V(G)∪E(G)→{1,2,3,…,k} be a k-total coloring. Let w(v) denote the sum of color...
Erdos, Rubin and Taylor showed in 1979 that for any connected graph G which is not a complete graph ...
Abstract. A graph is f-choosable if for every collection of lists with list sizes specified by f the...
A graph G is said to be f-choosable if there exists a proper coloring from every assignment of lists...
Let G = (V,E) be a graph and let f be a function that assigns list sizes to the vertices of G. It is...
AbstractA graph G is said to be f-choosable if there exists a proper coloring from every assignment ...
Let f be a function assigning list sizes to the vertices of a graph G. The sum choice number of G is...
AbstractLet f be a function assigning list sizes to the vertices of a graph G. The sum choice number...
This thesis focuses on topics in extremal combinatorics. Given an integer-valued function f defined ...
\noindent{This thesis focuses on topics in extremal combinatorics.} Given an integer-valued funct...
Let f:V→N be a function on the vertex set of the graph G=(V,E). The graph G is f-choosable if for ev...
The choice number is a graph parameter that generalizes the chromatic number. In this concept vertic...
A graph G is k-choosable if its vertices can be colored from any lists L(v) of colors with jL(v)j ...
The choice number of a graph G is the smallest integer k such that for every assignment of a list L(...
A proper coloring of a graph is an assignment of colors to the vertices so that no two adjacent vert...
Let G be a graph and ϕ:V(G)∪E(G)→{1,2,3,…,k} be a k-total coloring. Let w(v) denote the sum of color...
Erdos, Rubin and Taylor showed in 1979 that for any connected graph G which is not a complete graph ...
Abstract. A graph is f-choosable if for every collection of lists with list sizes specified by f the...
A graph G is said to be f-choosable if there exists a proper coloring from every assignment of lists...
Let G = (V,E) be a graph and let f be a function that assigns list sizes to the vertices of G. It is...
AbstractA graph G is said to be f-choosable if there exists a proper coloring from every assignment ...
Let f be a function assigning list sizes to the vertices of a graph G. The sum choice number of G is...
AbstractLet f be a function assigning list sizes to the vertices of a graph G. The sum choice number...
This thesis focuses on topics in extremal combinatorics. Given an integer-valued function f defined ...
\noindent{This thesis focuses on topics in extremal combinatorics.} Given an integer-valued funct...
Let f:V→N be a function on the vertex set of the graph G=(V,E). The graph G is f-choosable if for ev...
The choice number is a graph parameter that generalizes the chromatic number. In this concept vertic...
A graph G is k-choosable if its vertices can be colored from any lists L(v) of colors with jL(v)j ...
The choice number of a graph G is the smallest integer k such that for every assignment of a list L(...
A proper coloring of a graph is an assignment of colors to the vertices so that no two adjacent vert...
Let G be a graph and ϕ:V(G)∪E(G)→{1,2,3,…,k} be a k-total coloring. Let w(v) denote the sum of color...
Erdos, Rubin and Taylor showed in 1979 that for any connected graph G which is not a complete graph ...