Abstract
We consider generalization of the terminal matrix of Zaretsky, in which only distances are listed between terminal vertices of acyclic graphs, to a condensed matrix for cyclic and polycyclic systems. Some 50 years ago Zaretsky has proved that the distance matrix between terminal vertices of acyclic graphs allows full reconstruction of the graph. We consider the question: Is there a subset of vertices in cyclic and polycyclic graphs which would allow from information on their distances a full reconstruction of the graph? As we report in this publication a distance matrix confined to a distance between the set of ring closure vertices may offer a positive answer to the considered problem.
Keywords: Adamantane, cyclic and polycyclic graphs, fibonacenes, ring closure matrix, ring closure vertices, zaretsky matrix.
Graphical Abstract
Current Organic Chemistry
Title:Ring Closure Matrix
Volume: 19 Issue: 3
Author(s): Milan Randic, Marjana Novic and Dejan Plavsic
Affiliation:
Keywords: Adamantane, cyclic and polycyclic graphs, fibonacenes, ring closure matrix, ring closure vertices, zaretsky matrix.
Abstract: We consider generalization of the terminal matrix of Zaretsky, in which only distances are listed between terminal vertices of acyclic graphs, to a condensed matrix for cyclic and polycyclic systems. Some 50 years ago Zaretsky has proved that the distance matrix between terminal vertices of acyclic graphs allows full reconstruction of the graph. We consider the question: Is there a subset of vertices in cyclic and polycyclic graphs which would allow from information on their distances a full reconstruction of the graph? As we report in this publication a distance matrix confined to a distance between the set of ring closure vertices may offer a positive answer to the considered problem.
Export Options
About this article
Cite this article as:
Randic Milan, Novic Marjana and Plavsic Dejan, Ring Closure Matrix, Current Organic Chemistry 2015; 19 (3) . https://dx.doi.org/10.2174/1385272819666141216233128
DOI https://dx.doi.org/10.2174/1385272819666141216233128 |
Print ISSN 1385-2728 |
Publisher Name Bentham Science Publisher |
Online ISSN 1875-5348 |
Call for Papers in Thematic Issues
Catalytic C-H bond activation as a tool for functionalization of heterocycles
The major topic is the functionalization of heterocycles through catalyzed C-H bond activation. The strategies based on C-H activation not only provide straightforward formation of C-C or C-X bonds but, more importantly, allow for the avoidance of pre-functionalization of one or two of the cross-coupling partners. The beneficial impact of ...read more
Chemistry and Biology of Carbohydrates
Carbohydrates are one of the most abundant natural products and are considered to be extremely important biomolecules for their ever-increasing impact on chemistry and biology. Their role in several important biological processes, notably energy storage, transport, modulation of protein function, intercellular adhesion, malignant transformation, signal transduction, viral, and bacterial cell ...read more
Related Journals
- Author Guidelines
- Graphical Abstracts
- Fabricating and Stating False Information
- Research Misconduct
- Post Publication Discussions and Corrections
- Publishing Ethics and Rectitude
- Increase Visibility of Your Article
- Archiving Policies
- Peer Review Workflow
- Order Your Article Before Print
- Promote Your Article
- Manuscript Transfer Facility
- Editorial Policies
- Allegations from Whistleblowers
- Announcements
Related Articles
-
Vasopressin-Receptor Antagonists: A New Class of Agents for the Treatment of Hyponatremia
Endocrine, Metabolic & Immune Disorders - Drug Targets MR-Based In Vivo Analysis of Joint Biomechanics and its Relevance in the Pathogenesis of Osteoarthritis
Current Rheumatology Reviews Neurobehavioral and Cognitive Changes Induced by Hypoxia in Healthy Volunteers
CNS & Neurological Disorders - Drug Targets Estrogen and Female Lower Urinary Tract Dysfunction
Current Women`s Health Reviews Diagnostic Value of Dynamic High-frequency Ultrasound for the Slipping Rib and Twelfth Rib Syndrome: A Case Series with Review
Current Medical Imaging Role of CNS Transporters in the Pharmacotherapy of HIV-1 Associated Neurological Disorders
Current Pharmaceutical Design Insights into Airway Infections by Enterococci: A Review
Recent Patents on Anti-Infective Drug Discovery Macrophages in Inflammation
Current Drug Targets - Inflammation & Allergy Transglutaminase-Catalyzed Crosslinking in Neurological Disease: From Experimental Evidence to Therapeutic Inhibition
CNS & Neurological Disorders - Drug Targets Mitochondrial Dysfunction in Alzheimer’s Disease: Opportunities for Drug Development
Current Neuropharmacology Enhanced Hyperthermia Induced by MDMA in Parkin Knockout Mice
Current Neuropharmacology New Targets for Treating the Underlying Pathophysiology and Nonmotor Aspects of Parkinson's Disease
CNS & Neurological Disorders - Drug Targets Etiology of Neuroinflammatory Pathologies in Neurodegenerative Diseases: A Treatise
Current Psychopharmacology Development of Novel Therapeutics Targeting the Urokinase Plasminogen Activator Receptor (uPAR) and Their Translation Toward the Clinic
Current Pharmaceutical Design Quercetin in Attenuation of Ischemic/Reperfusion Injury: A Review
Current Molecular Pharmacology NGS Technologies as a Turning Point in Rare Disease Research , Diagnosis and Treatment
Current Medicinal Chemistry Recent Patents Review on Intranasal Administration for CNS Drug Delivery
Recent Patents on Drug Delivery & Formulation Inhibition of Voltage-Gated Calcium Channels by RGK Proteins
Current Molecular Pharmacology Stimuli-responsive Polymeric Nanosystems for Therapeutic Applications
Current Pharmaceutical Design A Translational View of Peptide Treatment of Neurological Disorders
Current Medicinal Chemistry