Skip to main content

Homfly Polynomial of Knotted Trivalent Plane Graphs | Chapter 10 | Theory and Applications of Mathematical Science Vol. 1

We study the Homfly polynomial of periodic knotted trivalent plane graphs introduced in [1]. We show how periodicity of a knotted trivalent plane graphs is reflected in this polynomial. In particular, we derive congruences of periodic knotted trivalent plane graphs in terms of this polynomial invariant. These congruences yield criteria for periodicity of knotted trivalent plane graphs.

Author(s) Details

Ayman A. Aboufattoum
Department of Mathematics, Faculty of Science, Kuwait University, P.O.Box 5969, Safat-13060, Kuwait.

K. Qazaqzeh
Department of Mathematics, Faculty of Science, Kuwait University, P.O.Box 5969, Safat-13060,Kuwait.

E. A. Elsakhawy
Department of Mathematics, Faculty of Science, Ain Shams University, Cairo 11566, Egypt.

A. T. Diab
Department of Mathematics, Faculty of Science, Ain Shams University, Cairo 11566, Egypt.

View Books: http://bp.bookpi.org/index.php/bpi/catalog/book/117
Labels:

Comments

Post a Comment

Popular posts from this blog

A Prospective Study about Safety and Efficacy of Perioperative Lidocaine Infusion | Chapter 09 | New Horizons in Medicine and Medical Research Vol. 8

 Opioids cause clinically significant side effects such as respiratory depression, immunosuppression, muscle rigidity, negative inotropism, nausea, vomiting, hyperalgesia, urine retention, postoperative ileus, and drowsiness. Perioperative opioids are a major contributor to the United States' and other countries' opioid epidemics. Non-opioid analgesics, particularly lidocaine, are becoming more common for perioperative use as a result of this. A total of 185 adult patients were randomly assigned to one of two groups: control group I (105 patients) [fentanyl group] or group ii (80 patients) [opioid-free anaesthesia group]. Lidocaine 1.5 mg/kg bolus followed by 1.5 mg/kg/h infusion intraoperatively, and 1.5-2 mg/kg/h infusion for 2-8 hours postoperatively were given to patients in both groups at anaesthetic induction. Intraoperatively, both groups received analgesic adjuvants such as diclofenac 75 mg, paracetamol 1 gm, and mgso4 30-50 mg/kg. If the mean arterial pressure (map)
Post a Comment
Read more

A Brief Study of Middleware Technologies: Programming Applications and Management Systems | Chapter 15 | Novel Research Aspects in Mathematical and Computer Science Vol. 1

  Many platforms, services, applications, hardware, and operating systems are connected through the middleware layer. Because the middleware layer abstracts much low-level complexity and makes applications and software systems portable, it allows disparate systems to interface and function together in harmony. Middleware technologies enable software engineers to swiftly construct software systems and applications, allowing developers to focus on more important tasks. This chapter examines several types of middleware systems and discusses middleware capabilities, middleware operation, middleware's function in cloud-based systems, and the best middleware platforms to use. Middleware systems are widely utilised and can be found in practically any software system or application. Middleware programmes provide as a link between many sorts of systems and protocols. They serve as a mechanism for various systems. To successfully exchange information, it runs on a variety of operating system
Post a Comment
Read more

Efficacy and Safety of Intravenous Ketamine Anaesthesia in a Suburban Nigerian Hospital | Chapter 10 | New Horizons in Medicine and Medical Research Vol. 8

  The goal of this retrospective study was to highlight intravenous ketamine use in a general practise hospital in Auchi, Nigeria. Case records of all patients who were operated on using intravenous ketamine were collected and significant data was taken for the study from January 1994 to January 2014. A total of 1,370 patients were operated on, including 463 (33.8%) major operations and 907 (66.2%) intermediate/minor procedures. Males (725 [53.0 percent]) were operated on more than females (725 [53.0 percent]) (645 [47.0 percent ]). Side events included transitory hypertension with moderate tachycardia, postoperative disorientation and confusion, emergent delirium, and priapism in 31 people. Intravenous ketamine anaesthesia has been demonstrated to have high clinical efficacy and safety in these patients. Author(S) Details G. B. S. Iyalomhe Department of Pharmacology and Therapeutics,Faculty of Clinical Sciences,College of Medicine ,Ambrose Alli University, Ekpoma, Nigeria. S. I.
Post a Comment
Read more