Aquidulcibacter paucihalophilus TH1-2T is a member of the family Caulobacteraceae within Alphaproteobacteria isolated from cyanobacterial aggregates in a eutrophic lake. The draft genome comprises 3,711,627 bp and 3489 predicted protein-coding genes. The genome of strain TH1-2T has 270 genes encoding peptidases. And metallo and serine peptidases were found most frequently. A high number of gene...

Strain S3-2T, isolated from sediment of a frozen freshwater pond, shares 99% 16S rRNA gene sequence identity with strains of the genus Janthinobacterium. Strain S3-2T is a facultative anaerobe that lacks the ability to produce violacein but shows antibiotic resistance, psychrotolerance, incomplete denitrification, and fermentation. The draft genome of strain S3-2T has a size of ~5.8 Mbp and con...

In a graph G, the all-paths transit function A(u, v), consists of set all vertices in G which lies some path connecting u and v. Convexity obtained by is called convexity. A partition P into two disjoint non-empty subsets Radon if convex hulls intersect. (P0, Q0) nonempty t-tolerant partition, for any S⊆P with |S|≤t, intersection 〈P0−S〉∩〈Q0−S〉≠∅. Here we study number respect to It minimum k suc...

By using Krasnoselskii’s fixed point theorem, we study the existence of positive solutions to the three-point summation boundary value problem Δ2u t − 1 a t f u t 0, t ∈ {1, 2, . . . , T}, u 0 β ∑η s 1 u s , u T 1 α ∑η s 1 u s , where f is continuous, T ≥ 3 is a fixed positive integer, η ∈ {1, 2, ..., T − 1}, 0 < α < 2T 2 /η η 1 , 0 < β < 2T 2 − αη η 1 /η 2T − η 1 , and Δu t − 1 u t − u t − 1 ....

Let us denote by EX (m,n; {C4, . . . , C2t}) the family of bipartite graphs G with m and n vertices in its classes that contain no cycles of length less than or equal to 2t and have maximum size. In this paper the following question is proposed: does always such an extremal graph G contain a (2t + 2)-cycle? The answer is shown to be affirmative for t = 2, 3 or whenever m and n are large enough ...

Strains arg-1T (T = type strain) and arg-2T, two new strains of extremely halophilic archaea, were isolated from the soils of the Argentine salt flats. The taxonomic features of arg-1T were similar to, but distinct from, those of the type strain of Haloarcula vallismortis and other Haloarcula species. On the 16S rRNA phylogenetic tree, strain arg-1T formed a cluster together with Haloarcula spe...

Let G be a graph with a maximum matching of size q, and let p ≤ q be a positive integer. Then G is called (p, q)-extendable if every set of p independent edges can be extended to a matching of size q. If G is a graph of even order n and 2q = n, then (p, q)-extendable graphs are exactly the p-extendable graphs defined by Plummer [Discrete Math. 31 (1980), 201–210]. Let d ≥ 3 be an integer, and l...

Bipartite graph G = (U,V,E) satisfies |U | = ma, |V | = mb, E ⊂ U ×V . Each edge (ui,v j) ∈ E represents a k-mer s, ha(s) = i and hb(s) = j. Since ha and hb are uniform random hash functions, these edges can be considered as randomly and uniformly chosen from all possible edges in U×V with probability |E| |U ||V | = n mamb . Consider a cycle in G, suppose the length of the cycle is 2t. This cyc...

We shall show that the three variable cubic inequality t(a + b + c) + (t − 2t)(ab + bc + ca) ≥ (2t − 1)(ab + bc + ca) + (3t − 6t + 3t − 6t + 3)abc holds for non-negative a, b, c, and for any real number t. We also show some similar three variable cyclic quartic inequalities.