Unit Interval Orders of Open and Closed Intervals

نویسندگان

  • Alan Shuchat
  • Randy Shull
  • Ann N. Trenk
چکیده

A poset P = (X,≺) is a unit OC interval order if there exists a representation that assigns an open or closed real interval I(x) of unit length to each x ∈ P so that x ≺ y in P precisely when each point of I(x) is less than each point in I(y). In this paper we give a forbidden poset characterization of the class of unit OC interval orders and an efficient algorithm for recognizing the class. The algorithm takes a poset P as input and either produces a representation or returns a forbidden poset induced in P .

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

مقایسه تاثیر دو روش ساکشن باز و بسته بر دیس ریتمی های قلبی بیماران تحت تهویه مکانیکی

Background: Nowadays, due to an increase in patients require intensive care, application of mechanical ventilation and endotracheal tube is necessary. In order to Keeping an open airway, endotracheal suctioning is necessary. Select the appropriate suction method can reduce the severe complications. The aim of this study is comparing the efficacy of open and closed suctioning on heart disrhythmi...

متن کامل

Crackles and instabilities during lung inflation

In a variety of physico-chemical reactions, the actual process takes place in a reactive zone, called the ‘‘active surface’’. We define the active surface of the lung as the set of airway segments that are closed but connected to the trachea through an open pathway, which is the interface between closed and open regions in a collapsed lung. To study the active surface and the time interval betw...

متن کامل

Completion of the mixed unit interval graphs hierarchy

We describe the missing class of the hierarchy of mixed unit interval graphs, generated by the intersection graphs of closed, open and one type of half-open intervals of the real line. This class lies strictly between unit interval graphs and mixed unit interval graphs. We give a complete characterization of this new class, as well as quadratic-time algorithms that recognize graphs from this cl...

متن کامل

Completeness results for metrized rings and lattices

The Boolean ring $B$ of measurable subsets of the unit interval, modulo sets of measure zero, has proper radical ideals (for example, ${0})$ that are closed under the natural metric, but has no prime ideal closed under that metric; hence closed radical ideals are not, in general, intersections of closed prime ideals. Moreover, $B$ is known to be complete in its metric. Togethe...

متن کامل

Open - Interval Graphs versus Closed - Interval Grap

A graph G = (V, E) is said to be represented by a family F of nonempty sets if there is a bijection f:V--*F such that uv ~ E if and only iff(u)Nf(v)q=~. It is proved that if G is a countable graph then G can be represented by open intervals on the real line if and only if G can be represented by closed intervals on the real line, however, this is no longer true when G is an uncountable graph. S...

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:
  • Order

دوره 33  شماره 

صفحات  -

تاریخ انتشار 2016