Operator decomposition of graphs

المؤلف

Quaddoura, Ruzayn

المصدر

The International Arab Journal of Information Technology

العدد

المجلد 3، العدد 2 (30 إبريل/نيسان 2006)، ص ص. 152-164، 13ص.

الناشر

جامعة الزرقاء

تاريخ النشر

2006-04-30

دولة النشر

الأردن

عدد الصفحات

13

التخصصات الرئيسية

تكنولوجيا المعلومات وعلم الحاسوب

الملخص EN

In this paper we introduce a new form of decomposition of graphs, the (P, Q)-decomposition.

We first give an optimal algorithm for finding the 1-decomposition of a graph which is a special case of the (P, Q)-decomposition which was first introduced in [21].

We then examine the connections between the 1-decomposition and well known forms of decomposition of graphs, namely, modular and homogeneous decomposition.

The characterization of graphs totally decomposable by 1-decomposition is also given.

The last part of our paper is devoted to a generalization of the 1- decomposition.

We first show that some basic properties of modular decomposition can be extended in a new form of decomposition of graphs that we called operator decomposition.

We introduce the notion of a (P, Q)-module, where P and Q are hereditary graph-theoretic properties, the notion of a (P, Q)-split graph and the closed hereditary class (P, Q) of graphs (P and Q are closed under the operations of john of graphs and disjoint union of graphs, respectively).

On this base, we construct a special case of the operator decomposition that is called (P, Q)-decomposition.

Such decomposition is uniquely determined by an arbitrary minimal nontrivial (P, Q)-module in G.

In particular, if G ∉ (P, Q), then G has the unique canonical (P, Q)-decomposition.

نمط استشهاد جمعية علماء النفس الأمريكية (APA)

Quaddoura, Ruzayn. 2006. Operator decomposition of graphs. The International Arab Journal of Information Technology،Vol. 3, no. 2, pp.152-164.
https://search.emarefa.net/detail/BIM-11810

نمط استشهاد الجمعية الأمريكية للغات الحديثة (MLA)

Quaddoura, Ruzayn. Operator decomposition of graphs. The International Arab Journal of Information Technology Vol. 3, no. 2 (Apr. 2006), pp.152-164.
https://search.emarefa.net/detail/BIM-11810

نمط استشهاد الجمعية الطبية الأمريكية (AMA)

Quaddoura, Ruzayn. Operator decomposition of graphs. The International Arab Journal of Information Technology. 2006. Vol. 3, no. 2, pp.152-164.
https://search.emarefa.net/detail/BIM-11810

نوع البيانات

مقالات

لغة النص

الإنجليزية

الملاحظات

includes bibliographical references : p. 164

رقم السجل

BIM-11810