Intersection graphs of Helly families of subtrees

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

Helly Property for Subtrees

One can prove the following proposition (1) For every non empty finite sequence p holds 〈p(1)〉 aa p = p. Let p, q be finite sequences. The functor maxPrefix(p, q) yielding a finite sequence is defined by: (Def. 1) maxPrefix(p, q) p and maxPrefix(p, q) q and for every finite sequence r such that r p and r q holds r maxPrefix(p, q). Let us notice that the functor maxPrefix(p, q) is commutative. W...

متن کامل

Constant tolerance intersection graphs of subtrees of a tree

A chordal graph is the intersection graph of a family of subtrees of a host tree. In this paper we generalize this. A graph G = (V ,E) has an (h, s, t)-representation if there exists a host tree T of maximum degree at most h, and a family of subtrees {Sv}v∈V of T, all of maximum degree at most s, such that uv ∈ E if and only if |Su∩Sv | t . For given h, s, and t, there exist infinitely many for...

متن کامل

Intersection representations of matrices by subtrees and unicycles on graphs

Consider a 0-1 matrix M(i,j) with columns C={c1, c2,..., cm}, and rows R, or – equivalently – a hypergraph M(R,C) having M as its adjacency matrix (where R are the vertices and C are the hyperedges). Denote ri={cj| cj∈C and M(i,j)=1}. We consider the following two problems: (a) Is there a graph H, with vertex set C, such that every vertex subgraph H(ri) of H is a tree and the intersection of ev...

متن کامل

The Speeds of Families of Intersection Graphs

A fundamental question of graph theory lies in counting the number of graphs which satisfy certain properties. In particular, the structure of intersection graphs of planar curves is unknown, and Schaefer, Sedgwick, and Štefankovič have shown that recognizing such graphs is NP-complete. As such, the number of intersection graphs of planar curves poses an interesting problem. Pach and Tóth have ...

متن کامل

Finding intersection models: From chordal to Helly circular-arc graphs

Every chordal graph G admits a representation as the intersection graph of a family of subtrees of a tree. A classic way of finding such an intersection model is to look for a maximum spanning tree of the valuated clique graph of G. Similar techniques have been applied to find intersection models of chordal graph subclasses as interval graphs and path graphs. In this work, we extend those metho...

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: Discrete Applied Mathematics

سال: 1996

ISSN: 0166-218X

DOI: 10.1016/0166-218x(94)00136-2