On a Special Co-cycle Basis of Graphs

In this paper we consider the problems of computing a minimum co-cycle basis and a minimum weakly fundamental co-cycle basis of a directed graph G. A co-cycle in G corresponds to a vertex partition (S,V ∖ S) and a { − 1,0,1} edge incidence vector is associated with each co-cycle. The vector space over ℚ generated by these vectors is the co-cycle space of G. Alternately, the co-cycle space is the orthogonal complement of the cycle space of G. The minimum co-cycle basis problem asks for a set of co-cycles that span the co-cycle space of G and whose sum of weights is minimum. Weakly fundamental co-cycle bases are a special class of co-cycle bases, these form a natural superclass of strictly fundamental co-cycle bases and it is known that computing a minimum weight strictly fundamental co-cycle basis is NP-hard. We show that the co-cycle basis corresponding to the cuts of a Gomory-Hu tree of the underlying undirected graph of G is a minimum co-cycle basis of G and it is also weakly fundamental.

Experimental and Computational Characterization of Alloy--Spinel--Corundum Equilibrium in the System Fe--Co--Al--O at 1873K

The three-phase equilibrium between alloy, spinel solid solution and alpha -Al sub 2 O sub 3 in the Fe--Co--Al--O system at 1873k was fully characterized as a function of alloy composition using both experimental and computational methods. The equilibrium oxygen content of the liquid alloy was measured by suction sampling and inert gas fusion analysis. The O potential corresponding to the three-phase equilibrium was determined by emf measurements on a solid state galvanic cell incorporating (Y sub 2 O sub 3 )ThO sub 2 as the solid electrolyte and Cr + Cr sub 2 O sub 3 as the reference electrode. The equilibrium composition of the spinel phase formed at the interface between the alloy and alumina crucible was measured by electron probe microanalysis (EPMA). The experimental results were compared with the values computed using a thermodynamic model. The model used values for standard Gibbs energies of formation of pure end-member spinels and Gibbs energies of solution of gaseous O in liquid Fe and cobalt available in the literature. The activity--composition relationship in the spinel solid solution was computed using a cation distribution model. The variation of the activity coefficient of O with alloy composition in the Fe--Co--O system was estimated using both the quasichemical model of Jacob and Alcock and Wagner's model along with the correlations of Chiang and Chang and Kuo and Chang. The computed results of spinel composition and O potential are in excellent agreement with the experimental data. Graphs. 29 ref.--AA

Effect Of Electroslag Refining On Microstructure And Mechanical-Properties Of Is-7670 Alloy

The electroslag refining technique is one of the modern tools which is capable of imparting superior mechanical and chemical properties to metals and alloys. Refining usually results in the elimination of a number of casting or solidification defects, such as shrinkage porosity, gas porosity, pipe, micro- and macro segregation. Remelting also imparts a directional grain structure apart from refining the size of the inclusions, grains and precipitates. This technique has over the years been used widely and successfully to improve the mechanical and chemical properties of steels and alloy steels which are used in the nuclear, missile, aerospace and marine industries for certain critical applications. But the application of ESR to aluminium and its alloys is only recent. This paper investigates the response of an aluminium alloy (corresponding to the Indian Specification IS: 7670) to ESR. Based on theoretical considerations and microstructural evidence it elucidates how ESR of aluminium alloys differs from that of ferrous alloys. The improvement achieved in mechanical properties of the alloy is correlated with the microstructure.

Detection of IgG, IgA, IgM and IgE Antibodies in Invasive Amoebiasis in Endemic Areas

Entamoeba histolytica-specific serum IgG, IgA, IgM and IgE antibodies were assayed in cases of amoebiasis in an endemic area. Patient groups consisted of amoebic liver abscess (n=18), pre-abscess hepatic amoebiasis (n=22) and amoebic colitis (n=30). Control subjects comprised 26 asymptomatic cyst passers, 13 giardiasis cases, 20 typhoid patients and 24 non-amoebic individuals. Serum IgG was assayed by ELISA, using a monoclonal anti IgG β- galactosidase (IgG β-gal) conjugate, a polyclonal avidin biotin horse radish peroxidase (AB-HRP), and a polyclonal anti IgG horse radish peroxidase (IgG HRP) conjugate. IgA and IgM were assayed by the β-gal ELISA and IgE by AB-HRP. Diagnostically significant IgG and IgA while lower IgM and IgE antibody levels were seen in extraintestinal cases. About 40% of suspected pre-abscess hepatic amoebiasis cases were confirmed by antibody estimation. All isotype levels in most dysentery cases were in the range of the controls.

Matched thermochemical diagram for vacuum decarburization of ferroalloys

The carbon content of high carbon ferroalloy melts can be reduced by a vacuum treatment. Carbon and oxygen dissolved in the melt react to form CO. Although this process has been suggested in the literature, no comprehensive analysis of the equilibrium partial pressure of CO over an alloy melt with a given carbon and oxygen content has been reported. In this paper, a new type of matched thermochemical diagram is introduced, from which the feasibility of decarburization at reduced CO pressure and the minimum achievable carbon level can be graphically evaluated for any alloy composition and temperature. Carbon and oxygen potentials of different alloys are plotted as functions of temperature on two terminal diagrams. By projecting information from these plots onto a central diagram, containing data on the Gibbs' energy of mixing for the C-O system, equilibrium partial pressures of CO and CO2 are obtained. Nomograms on the central diagram give a direct indication of the equilibrium partial pressures at any given temperature. The carbon and oxygen activities in ferrochromium alloys have been assessed and the results are presented to illustrate the construction and use of the matched thermochemical diagrams.

Thermodynamics of salt roasting of sulphide ores

Thermodynamic analysis of a non-polluting process for the effective treatment of lean multimetallic sulphide ores is presented. The sulphide ore is roasted with sodium chloride in air. Metal sulphides are converted to chlorides that can be separated from the unaffected gangue material. At a temperature of 1100 K the chlorides are present both in gaseous and in condensed states. Volatile chlorides can be easily removed and subsequently condensed. The chlorides present in the condensed state can be leached to separate them from the gangue. The sulphur is trapped as Na2SO4 and thus SO2 emission is minimized. Ellingham diagrams are used to compare data for a large number of elements. The major thermodynamic driving force is provided by the higher stability of Na2SO4 relative to NaCl.

Population, globalization and urbanization: Trends and underlying prosesses

Third World hinterlands provide most of the settings in which the quality of human life has improved the least over the decade since Our Common Future was published. This low quality of life promotes a desire for large number of offspring, fuelling population growth and an exodus to the urban centres of the Third World, Enhancing the quality of life of these people in ways compatible with the health of their environments is therefore the most significant of the challenges from the perspective of sustainable development. Human quality of life may be viewed in terms of access to goods, services and a satisfying social role. The ongoing processes of globalization are enhancing flows of goods worldwide, but these hardly reach the poor of Third World countrysides. But processes of globalization have also vastly improved everybody's access to Information, and there are excellent opportunities of putting this to good use to enhance the quality of life of the people of Third World countrysides through better access to education and health. More importantly, better access to information could promote a more satisfying social role through strengthening grass-roots involvement in development planning and management of natural resources. I illustrate these possibilities with the help of a series of concrete experiences form the south Indian state of Kerala. Such an effort does not call for large-scare material inputs, rather it calls for a culture of inform-and-share in place place of the prevalent culture of control-and-command. It calls for openness and transparency in transactions involving government agencies, NGOs, and national and transnational business enterprises. It calls for acceptance of accountability by such agencies.

Determinant: Old algorithms, new insights (Extended Abstract)

In this paper we approach the problem of computing the characteristic polynomial of a matrix from the combinatorial viewpoint. We present several combinatorial characterizations of the coefficients of the characteristic polynomial, in terms of walks and closed walks of different kinds in the underlying graph. We develop algorithms based on these characterizations, and show that they tally with well-known algorithms arrived at independently from considerations in linear algebra.