تجاوز إلى المحتوى الرئيسي

# Moncef Ben Salem Bouaziz المنصف بن سالم بوعزيز

Associate Professor

أستاذ مشارك, قسم الرياضيات بجامعة الملك سعود. أستاذ مشارك بجامعة تونس المنار

كلية العلوم
Building 4, Floor 2, Office NO: A152
المنشورات
مقال فى مجلة
2017

# Description of the Orders Which are Hereditarily Half-reconstructible by Their Comparability Graphs

Abstract: Let P and P' be two orders on the same set X. The order P' is hemimorphic to P if it isomorphic to P or to its dual P*. It is hereditarily hemimorphic to P if for each subset A of X, the orders P↿A and P'↿A induced on A are hemimorphic. The order P is hereditarily half-reconstructible by its comparability graph if it is hereditarily hemimorphic to each order Q on X having the same comparability graph as P. In this paper, we begin by obtaining a new result on the decomposition of orders. Then we use this result to describe the orders which are hereditarily half-reconstructible by their comparability graphs. By the last result we solve an open problem posed in 2013, by Alzohairi, Bouaziz, and Boudabbous.

اسم الناشر
Old City Publishing
مدينة النشر
USA
رقم المجلد
29
رقم الانشاء
3-4
مجلة/صحيفة
Journal of Multiple-Valued Logic and Soft Computing
الصفحات
373 إلى 388
مزيد من المنشورات

Excess properties calculated from the experimental values of densities and viscosities have been presented in the previous work.

2015
تم النشر فى:
Taylor& Francis on line

Abstract: Let P and P' be two orders on the same set X. The order P' is hemimorphic to P if it isomorphic to P or to its dual P*. It is hereditarily hemimorphic to P if for each subset A of X, the…

2017
تم النشر فى:
Old City Publishing

A finite order P on a set V is reconstructible (respectively, reconstructible up to duality) by its comparability graph if each order on V which has the same comparability graph as P is isomorphic…

2020
تم النشر فى:
ٍSpringer