Node-independent spanning trees in Gaussian networks

نویسندگان
چکیده

برای دانلود باید عضویت طلایی داشته باشید

برای دانلود 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

Node-Independent Spanning Trees in Gaussian Networks

Gaussian network is known to be an alternative to toroidal network since it has the same number of nodes with less diameter, which makes it perform better than toroidal network. Spanning trees are said to be independent if all trees are rooted at the same node r and for any other node u, the nodes of the paths from r to u in all trees are distinct except the nodes r and u. In this paper, we inv...

متن کامل

Completely Independent Spanning Trees in Some Regular Networks

Let k ≥ 2 be an integer and T1, . . . , Tk be spanning trees of a graph G.If for any pair of vertices (u, v) of V (G), the paths from u to v in each Ti,1 ≤ i ≤ k, do not contain common edges and common vertices, except thevertices u and v, then T1, . . . , Tk are completely independent spanningtrees in G. For 2k-regular graphs which are 2k-connected, such as theCartesian pro...

متن کامل

Networks and Spanning Trees

In 1857 Arthur Cayley (1821–1895) published a paper [9] that introduces the term “tree” to describe the logical branching that occurs when iterating the fundamental process of (partial) differentiation. When discussing the composition of four symbols that involve derivatives, Cayley writes “But without a more convenient notation, it would be difficult to find [their] corresponding expressions ....

متن کامل

Independent spanning trees in crossed cubes

A set of spanning trees in a graph is said to be independent (ISTs for short) if all the trees are rooted at the same node r and for any other node v(6= r), the paths from v to r in any two trees are nodedisjoint except the two end nodes v and r. For an n-connected graph, the independent spanning trees problem asks to construct n ISTs rooted at an arbitrary node of the graph. Recently, Zhang et...

متن کامل

Completely independent spanning trees in (partial) k-trees

Two spanning trees T1 and T2 of a graph G are completely independent if, for any two vertices u and v, the paths from u to v in T1 and T2 are internally disjoint. For a graph G, we denote the maximum number of pairwise completely independent spanning trees by cist(G). In this paper, we consider cist(G) when G is a partial k-tree. First we show that ⌈k/2⌉ ≤ cist(G) ≤ k − 1 for any k-tree G. Then...

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 Parallel and Distributed Computing

سال: 2017

ISSN: 0743-7315

DOI: 10.1016/j.jpdc.2017.06.018