JGT
2008
13 years 5 months ago
2008
We determine necessary and sufficient conditions for a complete multipartite graph to admit a set of 1-factors whose union is the whole graph and, when these conditions are satisf...
JGT
2008
13 years 5 months ago
2008
Given a fixed multigraph H with V (H) = {h1, . . . , hm}, we say that a graph G is H-linked if for every choice of m vertices v1, . . . , vm in G, there exists a subdivision of H i...
JGT
2008
13 years 5 months ago
2008
Let G be a simple graph of order n with no isolated vertices and no isolated edges. For a positive integer w, an assignment f on G is a function f : E(G) {1, 2, . . . , w}. For a ...
JGT
2008
13 years 5 months ago
2008
Abstract. We answer two questions of Zhu on circular choosability of graphs. We show that the circular list chromatic number of an even cycle is equal to 2 and give an example of a...
JGT
2008
13 years 5 months ago
2008
: Given a set F of graphs, a graph G is F-free if G does not contain any member of F as an induced subgraph. We say that F is a degree-sequence-forcing set if, for each graph G in ...
JGT
2008
13 years 5 months ago
2008
JGT
2008
13 years 5 months ago
2008
: A (g, f )-factor of a graph is a subset F of E such that for all v V, g(v) degF(v) f(v). Lovasz gave a necessary and sufficient condition for the existence of a (g, f )-factor...
JGT
2008
13 years 5 months ago
2008
A homomorphism from an oriented graph G to an oriented graph H is a mapping from the set of vertices of G to the set of vertices of H such that ----(u)(v) is an arc in H whenever...
JGT
2008
13 years 5 months ago
2008
A spanning subgraph G of a graph H is a k-detour subgraph of H if for each pair of vertices x, y V (H), the distance, distG(x, y), between x and y in G exceeds that in H by at mo...
JGT
2008
13 years 5 months ago
2008
Given a distribution of pebbles on the vertices of a graph G, a pebbling move takes two pebbles from one vertex and puts one on a neighboring vertex. The pebbling number (G) is th...