Tree-Width and Dimension

نویسندگان

  • Gwenaël Joret
  • Piotr Micek
  • Kevin G. Milans
  • William T. Trotter
  • Bartosz Walczak
  • Ruidong Wang
چکیده

Over the last 30 years, researchers have investigated connections between dimension for posets and planarity for graphs. Here we extend this line of research to the structural graph theory parameter tree-width by proving that the dimension of a finite poset is bounded in terms of its height and the tree-width of its cover graph.

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

ثبت نام

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

Boolean dimension and tree-width

The dimension of a partially ordered set P is an extensively studied parameter. Small dimension allows succinct encoding. Indeed if P has dimension d, then to know whether x < y in P it is enough to check whether x < y in each of the d linear extensions of a witnessing realizer. Focusing on the encoding aspect Nešetřil and Pudlák defined the boolean dimension so that P has boolean dimension at ...

متن کامل

The Relationship between intercanthal dimension and width of maxillary anterior teeth

The Relationship between intercanthal dimension and width of maxillary anterior teeth Dr. MH. Lotfi Kamran *- Dr. A. Haghparast - Ghomsheh ** *Assistant Professor of Prosthodontics Dept., Faculty of Dentistry, Shaheed Sadoughi University of Medical Sciences. ** Dentist. Abstract Background and Aim: One of the difficult aspects of designing complete denture prosthesis is the selection of appropr...

متن کامل

LINKED TREE-DECOMPOSITIONS OF INFINITE REPRESENTED MATROIDS By

It is natural to try to extend the results of Robertson and Seymour’s Graph Minors Project to other objects. As linked tree-decompositions (ltds) of graphs played a key role in the Graph Minors Project, establishing the existence of ltds of other objects is a useful step towards such extensions. There has been progress in this direction for both infinite graphs and matroids. Kříž and Thomas pro...

متن کامل

تأثیر جهت دامنه، اقلیم (دما و بارندگی) و خاک بر پهنای دوایر سالیانه گونه زغال‌اخته در جنگل‌های ارسباران (شمال غرب ایران)

Cornalian cherry (Cornus mas L.) is a native woody species in Arasbaran, N.W. Iran. It commonly grows as a wild tree on the forest edges and in forest openings areas. In this study, the influence of physiographic and environmental factors such as aspect, climate (temperature, precipitation) and physical and chemical properties of soil on the tree ring width of Cornalian cherry was examined and ...

متن کامل

The 2-dimension of a Tree

Let $x$ and $y$ be two distinct vertices in a connected graph $G$. The $x,y$-location of a vertex $w$ is the ordered pair of distances from $w$ to $x$ and $y$, that is, the ordered pair $(d(x,w), d(y,w))$. A set of vertices $W$ in $G$ is $x,y$-located if any two vertices in $W$ have distinct $x,y$-location.A set $W$ of vertices in $G$ is 2-located if it is $x,y$-located, for some distinct...

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

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

ثبت نام

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

عنوان ژورنال:
  • Combinatorica

دوره 36  شماره 

صفحات  -

تاریخ انتشار 2016