Covering graphs with few complete bipartite subgraphs

نویسندگان
چکیده

برای دانلود رایگان متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

Covering Graphs with Few Complete Bipartite Subgraphs

We consider computational problems on covering graphs with bicliques (complete bipartite subgraphs). Given a graph and an integer k, the biclique cover problem asks whether the edge-set of the graph can be covered with at most k bicliques; the biclique partition problem is defined similarly with the additional condition that the bicliques are required to be mutually edge-disjoint. The biclique ...

متن کامل

On covering graphs by complete bipartite subgraphs

We prove that, if a graph with e edges contains m vertex-disjoint edges, then m/e complete bipartite subgraphs are necessary to cover all its edges. Similar lower bounds are also proved for fractional covers. For sparse graphs, this improves the well-known fooling set lower bound in communication complexity. We also formulate several open problems about covering problems for graphs whose soluti...

متن کامل

optimal orientations of subgraphs of complete bipartite graphs

for a graph g, let d(g) be the set of all strong orientations of g. the orientationnumber of g is min {d(d) |d belongs to d(g)}, where d(d) denotes the diameterof the digraph d. in this paper, we determine the orientation number for some subgraphs of complete bipartite graphs.

متن کامل

Eigensharp Graphs: Decomposition into Complete Bipartite Subgraphs

Let r(G) be the minimum number of complete bipartite subgraphs needed to partition the edges of G, and let r'G) be the larger of the number of positive and number of negative eigenvalues of G. It is known that T{G) > r(G); graphs with t(G) = r(G) are called eigensharp. Eigensharp graphs include graphs, trees, cycles Cn with n = 4 or n ^ 4k, prisms Cn\2K2 with n ^ 3fc, "twisted prisms" (also cal...

متن کامل

Decompositions of Complete Graphs into Bipartite 2-Regular Subgraphs

It is shown that if G is any bipartite 2-regular graph of order at most n2 or at least n − 2, then the obvious necessary conditions are sufficient for the existence of a decomposition of the complete graph of order n into a perfect matching and edge-disjoint copies of G.

متن کامل

ذخیره در منابع من


  با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید

ژورنال

عنوان ژورنال: Theoretical Computer Science

سال: 2009

ISSN: 0304-3975

DOI: 10.1016/j.tcs.2008.12.059