AbstractWe construct a new infinite family of factorizations of complete bipartite graphs by factors all of whose components are copies of a (fixed) complete bipartite graph Kp,q. There are simple necessary conditions for such factorizations to exist. The family constructed here demonstrates sufficiency in many new cases. In particular, the conditions are always sufficient when q=p+1
Suppose p<q are odd and relatively prime. In this paper we complete the proof that Kn,n has a factor...
AbstractLet F be a 2-regular graph. We prove that the complete bipartite graph Kn,n can be decompose...
AbstractThis paper is partitioned into two parts. In the first part we determine the maximum number ...
We construct a new infinite family of factorizations of complete bipartite graphs by factors all of ...
AbstractWe continue the study of complete factorisations of complete bipartite graphs of the form Kn...
AbstractThere are simple arithmetic conditions necessary for the complete bipartite graph Km,n to ha...
AbstractWe study complete Kp,q-factorisations of Km,n. Simple necessary conditions are found and we ...
We continue the study of complete factorisations of complete bipartite graphs of the form Kn,n by fa...
AbstractLet Km,n be a complete bipartite graph with two partite sets having m and n vertices, respec...
AbstractThere are simple arithmetic conditions necessary for the complete bipartite graph Km,n to ha...
AbstractIn this note, we investigate the factorization of a bipartite multigraph λKm,n into copies o...
There are simple arithmetic conditions necessary for the complete bipartite graph Km;n to have a com...
AbstractLet Km,n be a complete bipartite graph with two partite sets having m and n vertices, respec...
AbstractIn this paper, it is shown that a necessary and sufficient condition for the existence of a ...
It is shown that if K is any regular complete multipartite graph of even degree, and F is any bipart...
Suppose p<q are odd and relatively prime. In this paper we complete the proof that Kn,n has a factor...
AbstractLet F be a 2-regular graph. We prove that the complete bipartite graph Kn,n can be decompose...
AbstractThis paper is partitioned into two parts. In the first part we determine the maximum number ...
We construct a new infinite family of factorizations of complete bipartite graphs by factors all of ...
AbstractWe continue the study of complete factorisations of complete bipartite graphs of the form Kn...
AbstractThere are simple arithmetic conditions necessary for the complete bipartite graph Km,n to ha...
AbstractWe study complete Kp,q-factorisations of Km,n. Simple necessary conditions are found and we ...
We continue the study of complete factorisations of complete bipartite graphs of the form Kn,n by fa...
AbstractLet Km,n be a complete bipartite graph with two partite sets having m and n vertices, respec...
AbstractThere are simple arithmetic conditions necessary for the complete bipartite graph Km,n to ha...
AbstractIn this note, we investigate the factorization of a bipartite multigraph λKm,n into copies o...
There are simple arithmetic conditions necessary for the complete bipartite graph Km;n to have a com...
AbstractLet Km,n be a complete bipartite graph with two partite sets having m and n vertices, respec...
AbstractIn this paper, it is shown that a necessary and sufficient condition for the existence of a ...
It is shown that if K is any regular complete multipartite graph of even degree, and F is any bipart...
Suppose p<q are odd and relatively prime. In this paper we complete the proof that Kn,n has a factor...
AbstractLet F be a 2-regular graph. We prove that the complete bipartite graph Kn,n can be decompose...
AbstractThis paper is partitioned into two parts. In the first part we determine the maximum number ...
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