Iskanje po katalogu digitalne knjižnice

Opis: In this doctoral dissertation, we address the counting of Hamiltonian cycles in 2-tiled graphs. These graphs are a generalization of the construction of large 2-crossing-critical graphs. We also address the study of the learning process involved in solving unsolved mathematical problems, integrating psychological theories of optimal experience (flow) and deliberate practice into a mathematical framework called the dense challenge domain. The introduction presents fundamental graph theory concepts and an overview of ordinal numbers essential for understanding the core of the dissertation. In the second chapter, known results from relevant related fields are introduced, along with the contributions of the doctoral dissertation. In the third chapter, we address the problem of counting Hamiltonian cycles in 2-tiled graphs. First, we introduce basic concepts such as tile, 2-tile, tiled graphs, and 2-tiled graphs. This is followed by results leading to the characterization of Hamiltonian cycle types in 2-tiled graphs and then the introduction of algorithms that count each type of Hamiltonian cycles. We also demonstrate that if the family of 2-tiles used to construct 2-tiled graphs is finite, the algorithms are efficient. Further, we place large 2-crossing-critical graphs in the context of 2-tiled graphs and adapt the previously introduced algorithms to efficiently count all types of Hamiltonian cycles. To describe 2-crossing-critical graphs, we introduce an alphabet and show that 2-traversing and flanking Hamiltonian cycles can be counted by simply counting the occurrences of certain letters from the introduced alphabet. At the end of the chapter, we extend the counting of traversing Hamiltonian cycles to tiled graphs. We attempt to formally capture the experience of this research work in the fourth chapter. We propose a formal mathematical framework for solving a common challenge in mathematical education: how to effectively use limited time to motivate students for research work. We formalize a theoretical mathematical structure called the dense challenge domain and introduce a structured decision process based on Csikszentmihalyi’s theory of flow, Duckworth’s concept of grit, Snowden’s Cynefin framework from decision theory, and Bokal-Steinbacher’s time usage optimization model. Unlike traditional educational research, which focuses on primary and secondary education, our approach emphasizes fostering mathematical thinking at the research level through optimal psychological experience. We formalize an algorithm for evolving the dense challenge domain, ensuring a balance between perceived skill and levels of challenge. We further prove that large 2-crossing-critical graphs satisfy the conditions of the dense challenge domain, providing a solid mathematical foundation for this methodology. Through three pilot studies, we demonstrate that this approach not only maintains student engagement but also leads to publishable research outcomes.
Ključne besede: Hamiltonian cycle, 2-crossing-critical graph, 2-tiled graph, research realm, dense challenge domain, psychologically optimal experience, Cynefin framework
Objavljeno v DKUM: 24.10.2025; Ogledov: 0; Prenosov: 7
Celotno besedilo (1,76 MB)

Opis: Background Both suicidal and non-suicidal self-injuring behaviors (NSSI) are common during adolescence In Slovenia, adolescent suicide rates are high, making suicide the leading cause of death in the year 2022 in this age group. These behaviors are influenced by a complex interplay of environmental, psychological, and genetic factors. Previous research has identified risk and protective factors mainly for suicidal behavior in adults, a notable gap in understanding these factors in adolescents remains, especially for NSSI. Notably there is an important lack of effective clinical tools or psychometric assessment methods to reliably assess the risk for either suicidal or NSSI behaviors in acutely hospitalized adolescents. Methods and analysis The proposed study uses a mixed-method observational design consisting of a prospective longitudinal cohort component involving adolescents hospitalized for high risk of DSH, and a cross-sectional comparison with a control group of healthy adolescents recruited from primary care settings. It is aimed at identifying genetic, psychosocial, and clinical factors associated with suicidal behaviors and NSSI in adolescents. The study group is recruited from adolescents aged 12–19, admitted to the Intensive Child and Adolescent Psychiatry Unit in Ljubljana due to severe self-harm risk. Exclusion criteria include involuntary treatment, acute psychotic disorders, intellectual disability, severe physical or central nervous system illnesses and acute intoxication. The control group comprises adolescents of comparable age, recruited through regular scheduled health check-ups in Slovenia. Exclusion criteria include suicidality, severe mental disorder, a history of self-harm behavior in a first-degree relative, intellectual disability, severe physical or central nervous system illnesses and acute intoxication. Enrollment runs from February 1, 2023, to December 31, 2025. Participation is voluntary, requiring parental or guardian consent for those 14 or younger
Ključne besede: adolescents, deliberate self-harm, non-suicidal self-injury, suicidal behavior, intensive psychiatry, personality disorder, traumatic experience, genetics, epigenetics
Objavljeno v DKUM: 17.10.2025; Ogledov: 0; Prenosov: 2
Celotno besedilo (1,10 MB)

Opis: This master's thesis explores the simplification of the registration process for digital government services in Slovenia through a mobile application. It examines the existing SI-TRUST registration process, identifies challenges such as mandatory in-person identification, and proposes a mobile solution using facial recognition and AI verification to improve accessibility and efficiency. The research includes user experience testing via the System Usability Scale (SUS) method and evaluates the feasibility, security, and legal compliance of the proposed approach.
Ključne besede: digital identity, SUS, facial recognition, user experience, e-government
Objavljeno v DKUM: 30.09.2025; Ogledov: 0; Prenosov: 17
Celotno besedilo (2,17 MB)

Opis: Aim of the study is to provide an insight into the experience of residential care from the perspective of beneficiaries and experts. The data was collected in two male residential units. The results show that adolescents and caregivers tend to have a negative attitude toward residential care. Adolescents are even more skeptical about the purpose of treatment since they experience shortcomings in the activities and the methods of treatment, as well as monotony and stigmatization by the local community. Caregivers highlight their disappointment regarding the inadequate intervention system and the complexity of working with children with multiple risks and problems.
Ključne besede: residential care, experience, adolescents, caregivers
Objavljeno v DKUM: 30.06.2025; Ogledov: 0; Prenosov: 2
Celotno besedilo (426,99 KB)
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Opis: Aims and Objective: The aim of this study was to explore the feasibility, usability and acceptance of integrating Clinical Decision Support Systems with Socially Assistive Robots into hospital grand rounds. Background: Adopting Clinical Decision Support Systems in healthcare faces challenges such as complexity, poor integration with workflows, and concerns about data privacy and quality. Issues such as too many alerts, confusing errors, and difficulty using the technology in front of patients make adoption challenging and prevent it from fitting into daily workflows. Making Clinical Decision Support System simple, intuitive and user-friendly is essential to enable its use in daily practice to improve patient care and decision-making. Methods: This six-month pilot study had two participant groups, with total of 40 participants: a longitudinal intervention group (n =8) and a single-session evaluation group (n=32). Participants were medical doctors at the University Clinical Center Maribor. The intervention involved implementing a Clinical Decision Support System delivered via a Socially Assistive Robot during hospital grand rounds. We developed a system that employed the HL7 FHIR standard for integrating data from hospital monitors, electronic health records, and patient-reported outcomes into a single dashboard. A Pepper-based SAR provided patient specific recommendations through a voice and SAR tablet enabled interface. Key evaluation metrics were assessed using the System Usability Scale (SUS) and the Unified Theory of Acceptance, Use of Technology (UTAUT2) questionnaire, including Effort Expectancy, Performance Expectancy and open ended questions. The longitudinal group used the system for 6 months and completed the assessments twice, after one week and at the end of the study. The single-session group completed the assessment once, immediately after the experiment. Qualitative data were gathered through open-ended questions. Data analysis included descriptive statistics, paired t-tests, and thematic analysis. Results: System usability was rated highly across both groups, with the longitudinal group reporting consistently excellent scores (M =82.08 at final evaluation) compared to the acceptable scores of the single-session group (M =68.96). Extended exposure improved user engagement, reflected in significant increases in Effort Expectancy and Habit over time. Participants found the system enjoyable to use, and while no significant changes were seen in Performance Expectancy, feedback emphasized its efficiency in saving time and improving access to clinical data, supporting its feasibility and acceptability. Conclusions: This research supports the potential of robotic technologies to transform CDSS into more interactive, efficient, and user-friendly tools for healthcare professionals. The paper also suggests further research directions and technical improvements to maximize the impact of innovative technologies in healthcare.
Ključne besede: clinical decision support systems, clinical decision-making, hospital grand rounds, patient data integration, perceived quality of care, socially assistive robots, usability and familiarity, user experience questionnaire, workload reduction
Objavljeno v DKUM: 30.05.2025; Ogledov: 0; Prenosov: 3
Celotno besedilo (3,02 MB)