[PDF] Top 20 A 1-2-3-4 result for the 1-2-3 Conjecture in 5-regular graphs
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A 1-2-3-4 result for the 1-2-3 Conjecture in 5-regular graphs
... goal in this paper is to improve the bound on the parameter χ e Σ for 5-regular graphs (which are obviously all nice), by showing that their index is bounded above by ... Voir le document complet
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Further Results on an Equitable 1-2-3 Conjecture
... bipartite graphs admit proper k-edge-colourings. We are now ready for our main ...4.2. For all k ≥ 3, if G = (A, B, E) is a k-regular bipartite graph, then χ Σ (G) ≤ ... Voir le document complet
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Neighbour-Sum-2-Distinguishing Edge-Weightings: Doubling the 1-2-3 Conjecture
... that for several common classes of nice graphs G we have χ Σ>1 (G) ≤ ...address the following. Conjecture 1.1. For every nice graph G, we have χ Σ>1 (G) ≤ ...towards ... Voir le document complet
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On a combination of the 1-2-3 Conjecture and the Antimagic Labelling Conjecture
... 1-2-3 Conjecture. For every nice graph G, we have χ e Σ (G) ≤ ...of the 1-2-3 Conjecture have been studied in ...literature. For an ... Voir le document complet
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Lattice measurement of the Isgur-Wise functions $\tau_{1/2}$ and $\tau_{3/2}$
... propose a method to compute the Isgur-Wise form factors τ 1/2 (1) and τ 3/2 (1) for the decay of B mesons into orbitally excited (P wave) D ∗∗ charmed ... Voir le document complet
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(4S)-4-Benzyl-N-{[(4S)-4-benzyl-2-oxo-1, 3-oxazolidin-3-yl] sulfonyl}-2-oxo-1, 3-oxazolidine-3-carboxamide
... dropwise 1 equivalent of -hydroxyester (1.34 g, 11.4 mmol) in 5 ml of the same of ...min, the carbamate was added to a solution of oxazolidinine ...mmol), in presence of ... Voir le document complet
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Prediction of a New Layered Polymorph of FeS 2 with Fe 3+ S 2– (S 2 ) 1/2 2- Structure
... MS 2 (M = transition element) have been intensively investigated as host lattices for chemical and electrochemical intercalation of alkali metals ...K). 1–4 Indeed, these materials provided ... Voir le document complet
22
Further Evidence Towards the Multiplicative 1-2-3 Conjecture
... (v) for every edge uv, where σ t ℓ (w) = σ ℓ (w) + ℓ(w) for every vertex ...w. In other words, in this type of labelling we are also allowed to locally alter vertex sums (via vertex labels) ... Voir le document complet
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1-2-3 Conjecture in Digraphs: More Results and Directions
... results In Table 1, we have listed all progress we are aware of regarding directed variants of the 1-2-3 Conjecture defined over the parameters σ − , σ + ...to ... Voir le document complet
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Crystal structure of [4-(2-methoxyphenyl)-3-methyl-1-phenyl-6-trifluoromethyl-1H-pyrazolo[3,4-b]pyridin-5-yl](thiophen-2-yl)methanone
... units for a variety of drugs. Recently, a new class of thiophene compounds that kill extensively drug resistant Mycobacterium tuberculosis have been reported (Wilson et ...of the cytotoxic ... Voir le document complet
14
On locally irregular decompositions and the 1-2 Conjecture in digraphs
... repeating the above procedure until v 1 is treated, we eventually get the claimed pair-colouring 2-total- weighting w, concluding the ...proof. 3 Irregular arc- and ... Voir le document complet
12
Discovery, SAR study and ADME properties of methyl 4-amino-3-cyano-1-(2-benzyloxyphenyl)-1 H -pyrazole-5-carboxylate as an HIV-1 replication inhibitor
... of A series To study and verify the impact of substituents on the phenyl ring of pyrazoles A, new analogues were synthesized according to the two-step strategy which we previously ... Voir le document complet
6
[(2 R ,3 R )-3-(4-Nitrophenyl)aziridin-2-yl]methanol monohydrate
... highlight a pronounced C—C bond shortening [1.487 (2) Å] and a little C—N bond lengthening ...and the geometry at nitrogen is pyramidal (Zhu et ...about the aziridine ring (Fig. ... Voir le document complet
8
On a directed variation of the 1-2-3 and 1-2 Conjectures
... weights in a sum-colouring k-arc-weighting (if any) of D is denoted χ e Ł ...investigating the parameter χ e Ł , let us, reusing the notions and termi- nology above, describe the ... Voir le document complet
14
Zygomatico maxillary complex fractures. What osteosynthesis? 1, 2, 3 or 4 point fixation
... found. The most common etiologies are road traffic accidents 64,4% and aggressions ...15,5%. The right side was the most frequently injured (53,34%). The major clinical signs were: mouth ... Voir le document complet
130
A general decomposition theory for the 1-2-3 Conjecture and locally irregular decompositions
... is the one where neighbours must be distinguishable via their incident sums of ...neighbour-sum-distinguishing. The popularity of this notion arises from two reasons. A first one is that designing ... Voir le document complet
15
Crystal structure and Hirshfeld surface analysis of ethyl 2-{[4-ethyl-5-(quinolin-8-yloxymethyl)-4H-1, 2, 4-triazol-3-yl] sulfanyl} acetate
... are a very important class of nitrogen- containing heterocycles, which display a broad range of biological activities (Srikanth et ...2010). In addition, quinolines have suitable electron mobility ... Voir le document complet
9
Decomposability of graphs into subgraphs fulfilling the 1-2-3 Conjecture
... Keywords: 1–2–3 Conjecture, locally irregular graph, graph decomposition ...Introduction A graph of order at least 2 cannot be irregular, ...though. The least k so that an ... Voir le document complet
14
Going Wide with the 1-2-3 Conjecture
... being a promising approach, we do not seem to deduce anything particular from, notably, the results on proper labellings of hypergraphs from ...[5]. The main reason for that, being ... Voir le document complet
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An injective version of the 1-2-3 Conjecture
... to Conjecture 1.2, there are a few graph classes which could be legitimate candidates to ...consider. A first class could be the class of graphs G with χ i (G) = |V (G)|, which are, ... Voir le document complet
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