A set S of edge-disjoint hamilton cycles in a graph G is said to be maximal if the edges in the hamilton cycles in S induce a subgraph H of G such that G EðHÞ contains no hamilton cycles. In this context, the spectrum SðGÞ of a graph G is the set of integersm such that G contains a maximal set of m edge-disjoint hamilton cycles. This spectrum has

We develop a discrete analogue of the Hamilton–Jacobi theory in the framework of the discrete Hamiltonian mechanics. We first reinterpret the discrete Hamilton–Jacobi equation derived by Elnatanov and Schiff in the language of discrete mechanics. The resulting discrete Hamilton– Jacobi equation is discrete only in time, and is shown to recover the Hamilton–Jacobi equation in the continuous-time...

Fifty subjects with seizure disorder were compared with thirty subjects with bronchial asthma and assessed for depression and suicidal behaviour. 34% of the epilepsy group had a diagnosis of major depressive episode compared to 13.3% of Bronchial Asthma group, which demonstrated a significant difference. Complex partial seizures and use of phenobarbitone had significant association with depress...

A packing of a graph G with Hamilton cycles is a set of edgedisjoint Hamilton cycles in G. Such packings have been studied intensively and recent results imply that a largest packing of Hamilton cycles in Gn,p a.a.s. has size bδ(Gn,p)/2c. Glebov, Krivelevich and Szabó recently initiated research on the ‘dual’ problem, where one asks for a set of Hamilton cycles covering all edges of G. Our main...

Background: There are conflicting findings about relationship between depression and anger with immunological parameters. Objective: To investigate the relationship between anger patterns and immune system in depressed patients. Methods: Thirty-five patients with major depressive disorder were selected according to DSM-IV criteria. The Hamilton Depression Scale and Spielberger Anger questionnai...

OBJECTIVE The aim of this study was to assess the anxiety, depression, and serum cortisol level in OSMF patients. MATERIALS AND METHODS This cross-sectional study was conducted in the Outpatient Department of Oral Medicine and Radiology, Teerthanker Mahaveer Dental College and Research Centre, Moradabad, Uttar Pradesh, India. Age- and gender-matched 105 patients were divided into three equal ...