Judicious partitions of bounded-degree graphs

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

Judicious partitions of bounded-degree graphs

We prove results on partitioning graphs G with bounded maximum degree. In particular, we provide optimal bounds for bipartitions V (G) = V1 ∪ V2 in which we minimize max{e(V1), e(V2)}.

متن کامل

Judicious partitions of graphs

The problem of finding good lower bounds on the size of the largest bipartite subgraph of a given graph has received a fair amount of attention. In particular, improving a result of Erdős ([10]; see also [11] for related problems), Edwards [9] proved the essentially best possible assertion that every graph with n vertices and m edges has a bipartite subgraph with at least m/2 + (n − 1)/4 edges....

متن کامل

Judicious k-partitions of graphs

Judicious partition problems ask for partitions of the vertex set of graphs so that several quantities are optimized simultaneously. In this paper, we answer the following judicious partition question of Bollobás and Scott [6] in the affirmative: For any positive integer k and for any graph G of size m, does there exist a partition of V (G) into V1, . . . , Vk such that the total number of edge...

متن کامل

Judicious partitions of directed graphs

The area of judicious partitioning considers the general family of partitioning problems in which one seeks to optimize several parameters simultaneously, and these problems have been widely studied in various combinatorial contexts. In this paper, we study essentially the most fundamental judicious partitioning problem for directed graphs, which naturally extends the classical Max Cut problem ...

متن کامل

Exact Bounds for Judicious Partitions of Graphs

Edwards showed that every graph of size m ≥ 1 has a bipartite subgraph of size at least m/2 + √ m/8 + 1/64− 1/8. We show that every graph of size m ≥ 1 has a bipartition in which the Edwards bound holds, and in addition each vertex class contains at most m/4 + √ m/32 + 1/256 − 1/16 edges. This is exact for complete graphs of odd order, which we show are the only extremal graphs without isolated...

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: Journal of Graph Theory

سال: 2004

ISSN: 0364-9024

DOI: 10.1002/jgt.10174