AbstractIn this paper, we obtain a criterion for the decomposition of the λ-fold balanced complete bipartite multigraph λKn,n into (not necessarily isomorphic) multistars with the same number of edges. We also give a necessary and sufficient condition of decomposing 2Kn,n into isomorphic multistars
The multistar $ S^{w_1,...,w_n}$ is the multigraph whose underlying graph is an $n$-star and the mul...
In Chapter 1, we will introduce the definitions and the notations used throughout this thesis. We wi...
AbstractA subgraph F of a graph G is called a star-subgraph if each component of F is a star. In thi...
AbstractIn this paper, we obtain a criterion for the decomposition of the λ-fold balanced complete b...
AbstractLet Sk denote the star with k edges. A balanced Sk-decomposition of a multigraph G is a fami...
AbstractA necessary and sufficient condition for the existence of a decomposition of λKv into stars ...
AbstractLet Sk denote the star with k edges. A balanced Sk-decomposition of a multigraph G is a fami...
AbstractWe study the decomposition of multigraphs with a constant edge multiplicity into copies of a...
Let Pk+1 denote a path of length k, Sm denote a star with m edges, and Kn(λ) denote the complete mul...
AbstractR. Häggkvist proved that every 3-regular bipartite graph of order 2n with no component isomo...
AbstractThere are simple arithmetic conditions necessary for the complete bipartite graph Km,n to ha...
It is known that whenever υ(υ−1) ≡ 0 (mod 2m) and υ⩾2m, the complete graph Kυ can be decomposed into...
AbstractThere are simple arithmetic conditions necessary for the complete bipartite graph Km,n to ha...
In this paper we investigate decompositions of a complete bipartite symmetric multidigraph λKm,n* an...
Let P_k denote a path on k vertices, and let S_k denote a star with k edges. For graphs F, G, and H,...
The multistar $ S^{w_1,...,w_n}$ is the multigraph whose underlying graph is an $n$-star and the mul...
In Chapter 1, we will introduce the definitions and the notations used throughout this thesis. We wi...
AbstractA subgraph F of a graph G is called a star-subgraph if each component of F is a star. In thi...
AbstractIn this paper, we obtain a criterion for the decomposition of the λ-fold balanced complete b...
AbstractLet Sk denote the star with k edges. A balanced Sk-decomposition of a multigraph G is a fami...
AbstractA necessary and sufficient condition for the existence of a decomposition of λKv into stars ...
AbstractLet Sk denote the star with k edges. A balanced Sk-decomposition of a multigraph G is a fami...
AbstractWe study the decomposition of multigraphs with a constant edge multiplicity into copies of a...
Let Pk+1 denote a path of length k, Sm denote a star with m edges, and Kn(λ) denote the complete mul...
AbstractR. Häggkvist proved that every 3-regular bipartite graph of order 2n with no component isomo...
AbstractThere are simple arithmetic conditions necessary for the complete bipartite graph Km,n to ha...
It is known that whenever υ(υ−1) ≡ 0 (mod 2m) and υ⩾2m, the complete graph Kυ can be decomposed into...
AbstractThere are simple arithmetic conditions necessary for the complete bipartite graph Km,n to ha...
In this paper we investigate decompositions of a complete bipartite symmetric multidigraph λKm,n* an...
Let P_k denote a path on k vertices, and let S_k denote a star with k edges. For graphs F, G, and H,...
The multistar $ S^{w_1,...,w_n}$ is the multigraph whose underlying graph is an $n$-star and the mul...
In Chapter 1, we will introduce the definitions and the notations used throughout this thesis. We wi...
AbstractA subgraph F of a graph G is called a star-subgraph if each component of F is a star. In thi...
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