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AIP Conference Proceedings, ISSN 0094-243X, 04/2019, Volume 2086, Issue 1
A graph labeling is an assignment of integers to the vertices, edges, or to both, and it is subject to certain conditions. In this paper, a new concept of... 
Integers | Labelling | Graph theory | Labeling | Apexes
Journal Article
Proceedings of the Steklov Institute of Mathematics, ISSN 0081-5438, 11/2018, Volume 303, Issue 1, pp. 129 - 139
Journal Article
Journal Article
IEICE Transactions on Information and Systems, ISSN 0916-8532, 04/2019, Volume E102.D, Issue 4, pp. 826 - 835
Given a graph G=(V,E), where V and E are vertex and edge sets of G, and a subset VNT of vertices called a non-terminal set, the minimum spanning tree with a... 
Minimum weight | Graphs | Graph theory | Algorithms | Apexes
Journal Article
The European Physical Journal C - Particles and Fields, ISSN 1434-6044, 03/2019, Volume 79, Issue 3, pp. 1 - 14
The mass, coupling and width of the newly observed charged resonance \[ Z_{c}^{-}(4100)\] are calculated by treating it as a scalar four-quark system with a... 
Quarks | Couplings | Spectroscopy | Parameters | Mathematical analysis | Apexes | Sum rules
Journal Article
Combinatorics Probability and Computing, ISSN 0963-5483, 05/2019, Volume 28, Issue 3, pp. 335 - 364
We study I(T), the number of inversions in a tree T with its vertices labelled uniformly at random, which is a generalization of inversions in permutations. We... 
Trees | Permutations | Random variables | Apexes | Inversions | Convergence
Journal Article
AIP Conference Proceedings, ISSN 0094-243X, 12/2013, Volume 1570, Issue 1, p. 484
We establish new results concerning endomorphisms of a finite chain if the cardinality of the image of such endomorphism is no more than some fixed number k.... 
Apexes | Chains
Conference Proceeding
Journal of Graph Theory, ISSN 0364-9024, 03/2019, Volume 90, Issue 3, pp. 227 - 230
We prove that the maximum number of triangles in a C 5 ‐free graph on n vertices is at most 1 2 2 ( 1 + o ( 1 ) ) n 3 ∕ 2 , improving an estimate of Alon and... 
triangles | extremal graphs | graphs
Journal Article
Journal of Mathematical Physics, ISSN 0022-2488, 09/2019, Volume 60, Issue 9, p. 93301
Coalescence of semi-infinite geodesics remains a central question in planar first passage percolation. In this paper, we study finer properties of the... 
Coalescing | Lower bounds | Apexes | Geodesy | Percolation | Questions | Coalescence
Journal Article
International Journal of Mathematical Combinatorics, ISSN 1937-1055, 03/2019, Volume 1, pp. 73 - 80
This paper investigates the enumeration of rooted nearly 2-regular loopless planar maps and presents some formulae for such maps with the valency of the... 
Numbers | Maps | Enumeration | Apexes | Mathematics
Journal Article
Journal Article
Combinatorica, ISSN 0209-9683, 10/2018, Volume 38, Issue 5, pp. 1239 - 1249
We describe the homotopy types of complexes of partite graphs and hypergraphs with a fixed set of vertices covered by their edges. 
MATHEMATICS | HOMOLOGY
Journal Article
Combinatorica, ISSN 0209-9683, 10/2018, Volume 38, Issue 5, pp. 1101 - 1127
A graph G = (V, E) is called (k, )-sparse if |F| k|V (F)| - for any nonempty F E, where V (F) denotes the set of vertices incident to F. It is known that the... 
MATHEMATICS | RIGIDITY
Journal Article
Mathematical Programming, ISSN 0025-5610, 04/2019, pp. 1 - 40
A vector t-coloring of a graph is an assignment of real vectors p1,…,pn to its vertices such that piTpi=t-1, for all i=1,…,n and piTpj≤-1, whenever i and j are... 
Formulations | Graph theory | Graph coloring | Apexes | Mathematical programming
Journal Article
Chemical Science, ISSN 2041-6520, 01/2019, Volume 10, Issue 16, pp. 4523 - 4530
The recent progress in the synthesis of partially substituted neutral silicon clusters (siliconoids) revealed unique structures and electronic anisotropies... 
Silicon tetrachloride | Apexes | Benzene | Clusters | Crystallography | Functional groups
Journal Article
Journal of Endodontics, ISSN 0099-2399, 2016, Volume 42, Issue 6, pp. 928 - 934
Abstract Introduction The aim of this study was to determine the efficiency of 4 irrigation systems in eliminating bacteria in root canals, particularly in... 
Endocrinology & Metabolism | Dentistry | XP Endo | EndoActivator | PIPS | root canal disinfection | dentinal tubules | CLSM | MTT assay | ENTEROCOCCUS-FAECALIS | ROTARY INSTRUMENTATION | ENDODONTIC TREATMENT | PHOTOACOUSTIC STREAMING PIPS | SODIUM-HYPOCHLORITE | IN-VITRO | CALCIUM HYDROXIDE | REDUCTION | DENTISTRY, ORAL SURGERY & MEDICINE | INFECTED ROOT CANALS | DISINFECTION | Enterococcus faecalis - drug effects | Humans | Bacteria - drug effects | Molar - diagnostic imaging | Root Canal Irrigants - administration & dosage | Sodium Hypochlorite - administration & dosage | Dental Pulp Cavity - microbiology | Root Canal Irrigants - pharmacology | Tooth Apex - ultrastructure | Sonication - methods | Bacteria - growth & development | Tooth Apex - drug effects | Edetic Acid - pharmacology | Bacteriological Techniques | Bicuspid - microbiology | Molar - drug effects | Sodium Hypochlorite - pharmacology | Dentin - diagnostic imaging | Dentin - microbiology | Lasers, Solid-State - therapeutic use | Mandible | Dental Pulp Cavity - ultrastructure | Microbial Viability - drug effects | Bicuspid - diagnostic imaging | Tooth Apex - microbiology | Dentin - ultrastructure | Materials Testing | Enterococcus faecalis - growth & development | Root Canal Preparation - methods | Bacterial Load | Microscopy, Confocal - methods | Tooth Apex - diagnostic imaging | Dentin - drug effects | Molar - microbiology | Disinfection - methods | Bicuspid - drug effects | Bacteria | Analysis | Root canal therapy | Rare earth metals
Journal Article
Journal of Applied Mathematics and Computing, ISSN 1598-5865, 08/2019, pp. 1 - 9
Let G be a simple connected non-trivial graph of order n, size m, and vertex degree sequence (d1,d2,…,dn). The first Zagreb index M1, forgotten index F and... 
Graphs | Graph theory | Apexes | Upper bounds | Invariants
Journal Article
Yunnan Daxue Xuebao. Ziran Kexue Ban = Journal of Yunnan University. Natural Sciences Edition, ISSN 0258-7971, 01/2019, Volume 41, Issue 4, p. 655
We study the edge-transitive but not arc-transitive maps of complete graphs K_p, where p is an odd prime such that p≡3(mod 4). A construction of the map and... 
Maps | Enumeration | Apexes | Graph theory
Journal Article
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