On the expansion constant and distance constrained colourings of hypergraphs

For any two non-negative integers h and k, h > k, an L(h, k)-colouring of a graph G is a colouring of vertices such that adjacent vertices admit colours that at least differ by h and vertices that are two distances apart admit colours that at least differ by k. The smallest positive integer {\delta} such that G permits an L(h, k)-colouring with maximum colour {\delta} is known as the L(h, k)-chromatic number (L(h, k)-colouring number) denoted by {\lambda}_{h,k}(G). In this paper, we discuss some interesting invariants in hypergraphs. In fact, we study the relation between the spectral gap and L(2, 1)-chromatic number of hypergraphs. We derive some inequalities which relates L(2, 1)-chromatic number of a k-regular simple graph to its spectral gap and expansion constant. The upper bound of L(h, k)-chromatic number in terms of various hypergraph invariants such as strong chromatic number, strong independent number and maximum degree is obtained. We determine the sharp upper bound for L(2, 1)-chromatic number of hypertrees in terms of its maximum degree. Finally, we conclude this paper with a discussion on L(2, 1)-colouring in cartesian product of some classes of hypergraphs

GIS-Based Geotechnical Database for Collaborative GIS

INDOT spends at least 8 million dollars annually on geotechnical site investigations, not including the amounts spent by contractors. The laborious and costly job of data collection in geotechnical practice requires the efficient storing and organizing of this valuable data to develop correlations and trends in spatially varying geotechnical data. INDOT currently uses gINT software for managing geotechnical data and ArcGIS for storing boring logs and geotechnical reports. The INDOT geotechnical office is pursuing means to improve the efficiency of their operations by developing a GIS-based geotechnical database for secure storage, easy retrieval, and flexible sharing of geotechnical data to enhance decision making. SPR-4616 is the first step towards the development of a geotechnical data management system in which important decisions on the components and structure of the database were made. The report presents a detailed conceptual layout for the development of a geotechnical database following an object-oriented programming approach. The report discusses in detail the geotechnical applications, the field, laboratory, and verification tests that will be included in the database. The geotechnical variables required to perform the engineering analysis in designing specific applications are logically linked with the geotechnical tests from which they are obtained. Lastly, a detailed layout of the proposed database structure and a user workflow example is provided in the report and can serve as a guide during the development of the database system

Implementation Study: Continuous, Wireless Data Collection and Monitoring of the Sagamore Parkway Bridge

This report presents, in detail, the development and implementation of a wireless solar powered DAQ system for continuous real-time monitoring of the Sagamore Parkway Bridge using the data collected from strain gauges installed in the bridge pier and its foundation piles. The data analysis showed that there is no significant change in the load-settlement response of the bridge pier 3 years after its construction. The pile cap contribution in carrying the total load carried by the bridge pier is significant (about 20%). The hourly ambient temperature trends match with the incremental bending moments measured on the bridge pier and the piles. The daily temperature cycles also affected the load transferred between the piles within the pile group. The water level fluctuations of the Wabash River impacted the total load carried by the pier, such that a rise in water level resulted in slight drop in the total load carried by the bridge pier due to buoyant forces. The overall results of the bridge monitoring showed that the bridge has performed well since its construction

Population Density of Grey Francolin (Franclinus Pondicrianus L.) in District Tando Allahyar, Sindh, Pakistan

The population density of Grey Francolin (Franclinus Pondicrianus L.) is distributed throughout the Baluchistan, KKPK, Punjab, and Indus plains of Sindh Province, Pakistan. The grey francolin is a prime game bird of our country. This species has been declared threatened worldwide according to the Red Data Book, also published by the International Union for Conservation of Nature in 2018. There is no information available regarding the density of the population of Grey francolin in different populations in the district of Tando Allahyar, Sindh, Pakistan. Keeping this in mind, the present study was carried out to find the density population of Grey francolin birds in the habitat area to observe the conservation measurements. The study was conducted through direct sighting with the help of local residents of the particular areas using the Visual Encounter Method. The observations were recorded at three fixed transects, with a length of 300 to 350 m and a width of 30 to 60 m laid down at every site for recording the birds by nearest line. In Tando Allahyar, Sindh, Pakistan, the population density of Grey francolin varies significantly based on breeding practices and habitat characteristics. The observed densities were 0.90 birds per hectare in cultivated open land and 0.16 birds per hectare in wetland and associated natural vegetation. This suggests a notable influence of habitat and breeding practices on Grey francolin population

GIS-Based Geotechnical Database for Collaborative GIS

SPR-4616INDOT spends at least 8 million dollars annually on geotechnical site investigations, not including the amounts spent by contractors. The laborious and costly job of data collection in geotechnical practice requires the efficient storing and organizing of this valuable data to develop correlations and trends in spatially varying geotechnical data. INDOT currently uses gINT software for managing geotechnical data and ArcGIS for storing boring logs and geotechnical reports. The INDOT geotechnical office is pursuing means to improve the efficiency of their operations by developing a GIS-based geotechnical database for secure storage, easy retrieval, and flexible sharing of geotechnical data to enhance decision making. SPR-4616 is the first step towards the development of a geotechnical data management system in which important decisions on the components and structure of the database were made. The report presents a detailed conceptual layout for the development of a geotechnical database following an object-oriented programming approach. The report discusses in detail the geotechnical applications, the field, laboratory, and verification tests that will be included in the database. The geotechnical variables required to perform the engineering analysis in designing specific applications are logically linked with the geotechnical tests from which they are obtained. Lastly, a detailed layout of the proposed database structure and a user workflow example is provided in the report and can serve as a guide during the development of the database system

Lambda number of zero-divisor graphs of finite commutative rings

Let \G = (\V, \E) be a simple graph, an $L(2,1)$-labelling of \G is assignment of labels from non-negative integers to the vertices of \G such that adjacent vertices gets labels which at least differ by two and vertices which are at distance two from each other get different labels. The $\lambda$-number of \G, denoted by \lambda(\G) is the smallest positive integer $\ell$ such that \G has a $L(2,1)$-labelling with all the labels are members of the set $\{ 0, 1, \cdots, \ell \}$. The zero-divisor graph denoted by $\Gamma(R)$, of a finite commutative ring $R$ with unity is a simple graph with vertices as non-zero zero divisors of $R$. Two vertices $u$ and $v$ are adjacent in $\Gamma(R)$ if and only if $uv = 0$ in $R$. In this paper, we investigate $L(2,1)$-labelling in zero-divisor graphs. We study the \textit{partite truncation}, a graph operation that reduces a $n$-partite graph of higher order to a graph of lower order. We establish the relation between $\lambda$-numbers of two graphs. We make use of the operation \textit{partite truncation} to contract the zero-divisor graph of a reduced ring to the zero-divisor graph of a Boolean ring. We compute the exact value of $\lambda$-numbers of zero-divisor graphs of some classes of local and mixed rings such as $\Z_{p^n}, \Z_{p^n} \times\Z_{q^m},$ and $\mathbb{F}_{q}\times\Z_{p^n}$

Identification and Oviposition Response of Sitophilus oryzae (L.) (Coleoptera: Curculionidae: Dryophthorinae) on Various Food Grains

In this study weevils were collected from the local areas of Tandojam and its surroundings. While further identification was performed at the Laboratory of postgraduate student, | department of Entomology, Faculty of Crop Protection, Sindh Agriculture University, Tandojam. The collected weevils from the local areas of Tandojam, were killed in a jar by applying potassium cyanide and were mounted through entomological pins on their right elytron. The specimens were also labeled, which contains information about the date of collection, name of collector, host of plant if was known. After that abdomen were separated and put at 10% potassium hydroxide for overnight at room temperature separately and were heavily sclerotized. The specimens were also heated for 10 minutes. In the next day these specimen were rushed in water for 5 minutes. During this experiment habitus images were taken with the help of camera fitted in microscope. The examination of gentile and other remaining parts were performed under the microscope for capturing of necessary images. For habitus images model of camera canon Power shot (sx510 HS) were utilized and for the gentile organ images USB camera fitted microscope 350k pixel (1) Kyowa Medilux (2) Labomed CSM2 20 to 40x were used. For the oviposition response on various grains, tested grains include; wheat, barley, oat, maize, gram, millet. A pair of newly emerged Sitophilus oryzae (Fabricius, 1775) from a laboratory colony was placed in plastic jars of 150 ml. There were 6 treatments, each treatment with 3 replications. Eggs were counted in each jar containing pair of weevils. Analysis was carried out through statistical software SXW 8.0, to categorize the preference of Sitophilus oryzae

Response of Various Nitrogen Levels on the Growth and Yield Performance of Tomato (Lycopersicon Esculentum Mill.)

Nitrogen (N) fertilization at optimum quantity to cultivated plants is essential for sustainable crop productivity. The experiment was conducted to evaluate the response of nitrogen fertilizers on the growth and yield traits of tomato during 2016, at the experimental field of Orchard, | department of Horticulture, Sindh Agriculture University Tandojam. Six nitrogen treatment doses were tested (T1 =control (untreated), T2 = 30 N kg ha-1, T3 = 60 N kg ha-1, T4 = 90 N kg ha-1, T5 = 120 N kg ha-1 and T6 = 150 N kg ha-1.). The data were recorded on the number of branches plant-1, days to flowering, days to fruiting, number of fruits plant-1, weight of single fruit (g), yield plot-1 and yield ha-1 (tons). The results demonstrated that N fertilization showed significant influence on both vegetative and reproductive traits of tomato. On the contrary, plants which were not fertilized with N displayed minimum values for all investigated traits. The highest N level (150 kg ha-1) showed maximum number of branches (5.51) plant-1, minimum day to flowering (42.43) less days to fruiting (46.00), more fruits plant-1 (31.00) maximum weight of single fruit (46.50 g) and highest fruit yield plot-1 (21.01 kg) and per hectare (14008 tons), respectively. It was concluded that the crop growth and productivity was significantly influenced by various levels of nitrogen. However, 150 N kg ha-1 as compared to 120 N and other concentrations considerably displayed better performance in terms of vegetative and reproductive traits of tomato. Hence for optimum growth and economically higher yield, the tomato crop may be fertilized with 150 N kg ha-1

Response of Various Nitrogen Levels on the Growth and Yield Performance of Tomato (Lycopersicon Esculentum Mill.)

Nitrogen (N) fertilization at optimum quantity to cultivated plants is essential for sustainable crop productivity. The experiment was conducted to evaluate the response of nitrogen fertilizers on the growth and yield traits of tomato during 2016, at the experimental field of Orchard, | department of Horticulture, Sindh Agriculture University Tandojam. Six nitrogen treatment doses were tested (T1 =control (untreated), T2 = 30 N kg ha-1, T3 = 60 N kg ha-1, T4 = 90 N kg ha-1, T5 = 120 N kg ha-1 and T6 = 150 N kg ha-1.). The data were recorded on the number of branches plant-1, days to flowering, days to fruiting, number of fruits plant-1, weight of single fruit (g), yield plot-1 and yield ha-1 (tons). The results demonstrated that N fertilization showed significant influence on both vegetative and reproductive traits of tomato. On the contrary, plants which were not fertilized with N displayed minimum values for all investigated traits. The highest N level (150 kg ha-1) showed maximum number of branches (5.51) plant-1, minimum day to flowering (42.43) less days to fruiting (46.00), more fruits plant-1 (31.00) maximum weight of single fruit (46.50 g) and highest fruit yield plot-1 (21.01 kg) and per hectare (14008 tons), respectively. It was concluded that the crop growth and productivity was significantly influenced by various levels of nitrogen. However, 150 N kg ha-1 as compared to 120 N and other concentrations considerably displayed better performance in terms of vegetative and reproductive traits of tomato. Hence for optimum growth and economically higher yield, the tomato crop may be fertilized with 150 N kg ha-1

Identification and Oviposition Response of Sitophilus oryzae (L.) (Coleoptera: Curculionidae: Dryophthorinae) on Various Food Grains

In this study weevils were collected from the local areas of Tandojam and its surroundings. While further identification was performed at the Laboratory of postgraduate student, | department of Entomology, Faculty of Crop Protection, Sindh Agriculture University, Tandojam. The collected weevils from the local areas of Tandojam, were killed in a jar by applying potassium cyanide and were mounted through entomological pins on their right elytron. The specimens were also labeled, which contains information about the date of collection, name of collector, host of plant if was known. After that abdomen were separated and put at 10% potassium hydroxide for overnight at room temperature separately and were heavily sclerotized. The specimens were also heated for 10 minutes. In the next day these specimen were rushed in water for 5 minutes. During this experiment habitus images were taken with the help of camera fitted in microscope. The examination of gentile and other remaining parts were performed under the microscope for capturing of necessary images. For habitus images model of camera canon Power shot (sx510 HS) were utilized and for the gentile organ images USB camera fitted microscope 350k pixel (1) Kyowa Medilux (2) Labomed CSM2 20 to 40x were used. For the oviposition response on various grains, tested grains include; wheat, barley, oat, maize, gram, millet. A pair of newly emerged Sitophilus oryzae (Fabricius, 1775) from a laboratory colony was placed in plastic jars of 150 ml. There were 6 treatments, each treatment with 3 replications. Eggs were counted in each jar containing pair of weevils. Analysis was carried out through statistical software SXW 8.0, to categorize the preference of Sitophilus oryzae