In 1994, Dobrynin and Kochetova introduced the concept of degree distance DD(Γ) a connected graph Γ. Let dΓ(S) be Steiner k-distance S⊆V(Γ). The Wiener k-index or k-center indexSWk(Γ) Γ is defined by SWk(Γ)=∑|S|=kS⊆V(Γ)dΓ(S). distanceSDDk(Γ) SDDk(Γ)=∑|S|=kS⊆V(Γ)∑v∈SdegΓ(v)dΓ(S), where degΓ(v) vertex v in this paper, we consider Nordhaus–Gaddum-type results for SWk(Γ) SDDk(Γ). Upper bounds on SW...

Guillain-Barrè syndrome (GBS) is usually associated with symmetrical weakness, and therefore asymmetrical weakness may confuse diagnosis. We report on a patient with GBS subsequent to Campylobacter jejuni enteritis who had asymmetrical weakness with CNS involvement. The patient tested positive for anti-ganglioside antibodies, including anti-GM1 IgM, anti-GD1b IgG, and anti-GT1a IgG. Patients wi...

OBJECTIVES This study examines the relationship between the morphology of the lumbosacral transitional vertebra (LTV) and asymmetrical development of the hip joints in dogs. METHODS A total of 4000 dogs which had been consecutively scored for canine hip dysplasia were checked for the presence of a LTV. A LTV was noted in 138 dogs and classified depending on the morphology of the transverse pr...

Hybridization is an important evolutionary force in plants, but the mechanisms underlying it have not been well studied for many groups. In particular, the drivers of non-random patterns of interspecific gene flow (asymmetrical hybridization) remain poorly understood, especially in the seed-free vascular plants. Here, we examine patterns of asymmetrical hybridization in two widespread fern hybr...

A unequal Wilkinson power divider based on asymmetrical coupled line section is presented in this paper. The proposed unequal Wilkinson power divider topology uses asymmetrical coupled-line section and two transmission-line transformers. For simplification, a section asymmetrical coupled line is applied to obtain front compact matching structure. For generalization, three ports terminated imped...

asterixis, firstly described in metabolic encephalopathies, may occur unilaterally in patients with various focal brain diseases. although hardly localizing, most reported cases have showed a contralateral thalamic pathology; but lesions in the medial frontal lobe, parietal lobe, brain stem, basal ganglia, insular lesions, may also cause unilateral asterixis. in this article, three cases of acu...