Fuzzy super resolving number and resolving number of some special graphs

Resolving number of a graph was introduced by Slater in the year 1975, which is used to navigate the position of the robot uniquely in a graph-structured framework. In this paper, we introduce fuzzy super resolving set, fuzzy super resolving number and certain crisp graph with ʹ2nʹ vertices and resolving number ʹnʹ , whose resolving set form a basis for Rⁿ.Publisher's Versio

Symmetry in Graph Theory

This book contains the successful invited submissions to a Special Issue of Symmetry on the subject of ""Graph Theory"". Although symmetry has always played an important role in Graph Theory, in recent years, this role has increased significantly in several branches of this field, including but not limited to Gromov hyperbolic graphs, the metric dimension of graphs, domination theory, and topological indices. This Special Issue includes contributions addressing new results on these topics, both from a theoretical and an applied point of view

Order and the Virtual: Toward a Deleuzian Cosmology

None provided, have taken the following from the "Introduction" Order is a more or less explicit topic for any thinker who undertakes to write about nature. Even those who assert that randomness or chaos is the most fundamental trait of nature are obliged to account for the apparent permanence, organisation and structure we observe around us. No less is true for Gilles Deleuze, who champions the power of chaos through his work. On one reading, Deleuze’s chief impulse is to wrench loose the lynchpins of order; to ‘affirm chaos’ and disarticulate the law of excluded middle; to refuse jurisdiction to laws of nature and render provisional its every constant; to banish identity and negation alike. If we are to be left with no fixed point, we might ask, what remains of order? This study is nevertheless an examination of that notion in Deleuze’s natural philosophy. For me the counter-reading is much more productive and insightful. Deleuze is rather a firm believer in order, even there where he affirms chaos. If we could furnish a ‘Deleuzian Question’ par excellence, it would be; ‘Given that there are no fixed points, how is order expressed in the world?’ This question is implicitly reprised across the entirety of his work and inflected at each stage by fresh vocabulary coined to treat it anew, as though for each new Deleuzian territory a new phrasebook is required