Forbidding and enforcing on graphs

Document Type

Article

Publication Date

4-20-2012

Abstract

We define classes of graphs based on forbidding and enforcing boundary conditions. Forbidding conditions prevent a graph to have certain combinations of subgraphs and enforcing conditions impose certain subgraph structures. We say that a class of graphs is an fe-class if the class can be defined through forbidding and enforcing conditions (fe-system). We investigate properties of fe-systems and characterize familiar classes of graphs such as paths and cycles, trees, bi-partite, complete, Eulerian, and k-regular graphs as fe-classes. © 2012 Elsevier B.V. All rights reserved.

Publication Title

Theoretical Computer Science

Volume

429

First Page

108

Last Page

117

Digital Object Identifier (DOI)

10.1016/j.tcs.2011.12.029

ISSN

03043975

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