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| 1 | On a Novel Eccentricity-based Invariant of a Graph显示文摘In this paper,for the purpose of measuring the non-self-centrality extent of non-selfcentered graphs,a novel eccentricity-based invariant,named as non-self-centrality number(NSC number for short),of a graph G is defined as follows:N(G)=∑v_i,v_j∈V(G)|e_i-e_j| where the summation goes over all the unordered pairs of vertices in G and e_i is the eccentricity of vertex v_i in G,whereas the invariant will be called third Zagreb eccentricity index if the summation only goes over the adjacent vertex pairs of graph G.In this paper,we determine the lower and upper bounds on N(G) and characterize the corresponding graphs at which the lower and upper bounds are attained.Finally we propose some attractive research topics for this new invariant of graphs. | Ke Xiang XU Kinkar Ch.DAS Ayse Dilek MADEN | 2016 | Acta Mathematica Sinica,English Series2016，32，12： | 2 |
| 2 | Cellular retinoic acid-binding protein and the role of retinoic acid in the development of the chick embryo显示文摘 | Maden M Ong DE Summerbell D | 1989 | Dev Biol1989，135，： | 1 |
| 3 | Regulation of Epha4 expression in paraxial and lateral plate mesoderm by ectodermderived signals 显示文摘 | Schmidt C Christ B Maden M | 2001 | Dev Dyn2001，，： | 1 |
| 4 | Vitamin A-deficient quail embryos have half a hindbrain and other neural defects显示文摘 | Maden M Gale E Kostetskii I | 1996 | Curr Biol1996，6，4： | 1 |
| 5 | Ultra-performance liquid chromatography coupled to time of flight mass spectrometry (UPLC- TOF) : A novel tool for multiresidue screening of veterinary drugs in urine显示文摘 | KAUFMANN A BUTCHER P MADEN K | 2007 | Analytica Chimica Acta2007，586，12： | 1 |
| 6 | Right arterial electrocardiography: a technique for the placenment of central venous catheters for chemotherapy or intravenous nutrition显示文摘 | Maden M Shah M V Alaexander D J | 1994 | Br J Surg1994，81，： | 1 |
| 7 | Retinoic acid induces alveolar regeneration in the adult mouse lung显示文摘 | HIND M MADEN M | 2004 | Eur Respir J2004，23，1： | 1 |
| 8 | Serum level of lipoprotein (a) is inversely associated with the development of coronary collateral circulation显示文摘 | Dursun Aras Bilal Geyik Serkan Topaloglu Kumral Ergun Selime Ayaz Orhan Maden Ali Yildiz Mustafa Balci Ozcan Ozeke Sule Korkmaz | 2006 | Coronary Artery Disease2006，，2： | 1 |
| 9 | Chromosome doubling in haploids through colchicines 显示文摘 | Gayen P Maden J K Kumar R | 1994 | Maize Genet Coop News Lett1994，68，： | 1 |
| 10 | Relationship of admission QRS duration and changes in QRS duration with myocardial reperfusion in patients with acute ST segment elevation myocardial infarction (STEMI) treated with fibfinolytic therapy 显示文摘 | Kacmaz F Maden O Aksuyek S | 2008 | Circ J2008，72，6： | 1 |
| 11 | Retinoic acid induced alveolar regeneration: critical differences in strain sensitivity 显示文摘 | Stinchcombe SV Maden M | 2008 | Am J Respir Cell Mol Biol2008，38，2： | 1 |
| 12 | Retinoic acid induces alveolar regeneration in the adult mouse lung 显示文摘 | Hind M Maden M | 2004 | Eur Respir J2004，23，1： | 1 |
| 13 | Corneal topographic changes after four types of pterygium surgery显示文摘 | Yilmaz S Yuksel T Maden A | 2008 | J Refract Surg2008，24，2： | 1 |
| 14 | Retinoic acid induces alveolar regeneration in the adult mouse lung 显示文摘 | Hind M Maden M | 2004 | Eur Rerpir J2004，23，1： | 1 |
| 15 | Role and distribution of retinoic acid during CNS development显示文摘 | Maden M | 2001 | Int Rev Cytol2001，209，： | 1 |
| 16 | Retinoic acid induces alveolar regeneration in the adult mouse lung 显示文摘 | Hind M Maden M | 2004 | Eur Respir J2004，23，1： | 1 |
| 17 | Retinoic acid signalling centres in the avian embryo identified by sites of expression of synthesising and eatabolising enzymes显示文摘 | Blentic A Gale E Maden M | 2003 | Dev Dyn2003，227，1： | 1 |
| 18 | Lacto- bacillus species pre-vents colitis in interleukin 10 gene- deficientmice显示文摘 | MADEN K L DOYLE J S JEWELL L D | 2006 | Gastroenterology2006，116，： | 1 |
| 19 | Repair of furcal iatrogenicperforation with mineral trioxide aggregate:two years fol-low-up of two cases显示文摘 | Unal GC Maden M Isidan T | 2010 | Eur Dent2010，4，4： | 1 |
| 20 | History of circumcision,medical conditions,and sexual activity and risk of penile cancer显示文摘 | Maden C Sherman KJ Beckmann AM | | 0，，01： | 1 |
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