1651. How to compute the M-polynomial of (chemical) graphsEmeric Deutsch, Sandi Klavžar, Gašper Domen Romih, 2023, izvirni znanstveni članek Povzetek: Let $G$ be a graph and let $m_{i,j}(G)$, $i,j\ge 1$, be the number of edges $uv$ of ▫$G$▫ such that $\{d_v(G), d_u(G)\} = \{i,j\}$. The M-polynomial of $G$ is $M(G;x,y) = \sum_{i\le j} m_{i,j}(G)x^iy^j$. A general method for calculating the M-polynomials for arbitrary graph families is presented. The method is further developed for the case where the vertices of a graph have degrees 2 and $p$, where $p\ge 3$, and further for such planar graphs. The method is illustrated on families of chemical graphs. Ključne besede: M-polynomial, chemical graph, planar graph Objavljeno v DiRROS: 18.03.2024; Ogledov: 323; Prenosov: 90
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1652. Qualitative analysis of the minimal Higgins model of glycolysisBrigita Ferčec, Matej Mencinger, Tatjana Petek, Orhan Ozgur Aybar, Ilknur Kusbeyzi Aybar, 2023, izvirni znanstveni članek Povzetek: Glycolysis, one of the leading metabolic pathways, involves many
different periodic oscillations emerging at positive steady states of
the biochemical models describing this essential process. One of
the models employing the molecular diffusion of intermediates is
the Higgins biochemical model to explain sustained oscillations. In
this paper, we investigate the center-focus problem for the minimal
Higgins model for general values of the model parameters with the
help of computational algebra. We demonstrate that the model
always has a stable focus point by finding a general form of the first
Lyapunov number. Then, varying two of the model parameters, we
obtain the first three coefficients of the period function for the stable focus point of the model and prove that the singular point is actually a bi-weak monodromic equilibrium point of type $[1, 2]$. Additionally, we prove that there are two (small) intervals for a chosen parameter $a > 0$ for which one critical period bifurcates from this singular point after small perturbations. Ključne besede: biological processes, biochemical models, glycolysis Objavljeno v DiRROS: 18.03.2024; Ogledov: 314; Prenosov: 130
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1654. CT colonography in detection of colorectal carcinomaAmela Sofić, Šerif Beslić, Igor Kocijančič, Nedžad Šehović, 2010, izvirni znanstveni članek Povzetek: Background. Diagnostic methods used in screening and detectingand 2 lipomas,and 2 lipomas, among tumours there were 55 adenocarcinomas and 1 lymphoma. Results showed CT colonography among tumours there were 55 adenocarcinomas and 1 lymphoma. Results showed CTsensitivity to polyps to be 89.7%, barium enema 48.7%, and colonoscopy 94.9%. Sensitivity to tumours of CT colonography colonography colorectal CT barium enema followed by colonoscopy wereand colonoscopy was 100% and of barium enema 94.6%. Specificities and PPV were 100% in all procedures. The performed. After thesensitivity to polyps to be 89.7%, barium enema 48.7%, andcomfort assessment showed CT colonography as the far most comfortable out of three procedures. colonoscopy 94.9%. Sensitivity to tumours of CT colonography procedures a comfort assessment was done in all colonography. The aim of thisand colonoscopy was 100% and of barium enema 94.6%. Specificities and PPV were 100% in all procedures. The study was to establish diagnostic accuracy andpatients. Diagnostic positive comfort assessment showed CT colonography as the far most comfortable out of three procedures. results were verified by the pato-histological examination. Sensitivity, specificity, positive comfort of CT colonography compared carcinoma are digitorectal examination,topredicative value (PPV) and negative predicative value (NPV) were calculated for each procedure. Ključne besede: CT colonography, barium enema, colonoscopy, colorectal polyp, colorectal carcinoma Objavljeno v DiRROS: 18.03.2024; Ogledov: 313; Prenosov: 106
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1655. Resonance graphs and a binary coding of perfect matchings of outerplane bipartite graphsSimon Brezovnik, Niko Tratnik, Petra Žigert Pleteršek, 2023, izvirni znanstveni članek Povzetek: The aim of this paper is to investigate resonance graphs of $2$-connected outerplane bipartite graphs, which include various families of molecular graphs. Firstly, we present an algorithm for a binary coding of perfect matchings of these graphs. Further, $2$-connected outerplane bipartite graphs with isomorphic resonance graphs are considered. In particular, it is shown that if two $2$-connected outerplane bipartite graphs are evenly homeomorphic, then its resonance graphs are isomorphic. Moreover, we prove that for any $2$-connected outerplane bipartite graph $G$ there exists a catacondensed even ring systems $H$ such that the resonance graphs of $G$ and $H$ are isomorphic. We conclude with the characterization of $2$-connected outerplane bipartite graphs whose resonance graphs are daisy cubes. Ključne besede: graph theory, resonance graphs, bipartite graphs Objavljeno v DiRROS: 18.03.2024; Ogledov: 342; Prenosov: 90
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1656. Zhang-Zhang polynomials of phenylenes and benzenoid graphsNiko Tratnik, 2024, izvirni znanstveni članek Povzetek: The aim of this paper is to study some variations of the Zhang-Zhang polynomial for phenylenes, which can be obtained as special cases of the multivariable Zhang-Zhang polynomial. Firstly, we prove the equality between the first Zhang-Zhang polynomial of a phenylene and the generalized Zhang-Zhang polynomial of some benzenoid graph, which enables us to prove also the equality between the first Zhang-Zhang polynomial and the generalized cube polynomial of the resonance graph. Next, some results on the roots of the second Zhang-Zhang polynomial of phenylenes are provided and another expression for this polynomial is established. Finally, we give structural interpretation for (partial) derivatives of different Zhang-Zhang polynomials. Ključne besede: graph theory, resonance graphs, polynomials Objavljeno v DiRROS: 18.03.2024; Ogledov: 325; Prenosov: 114
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1658. The challenge of integrating Life Cycle Assessment in the building design process - a systematic literature review of BIM-LCA workflowsTajda Potrč Obrecht, Martin Röck, Endrit Hoxha, Alexander Passer, 2019, objavljeni znanstveni prispevek na konferenci Povzetek: To foster sustainable development in construction sectors, environmental impacts need to be reduced dramatically. The Life Cycle Assessment (LCA) technique is the most firmly established methodology used to quantify these environmental impacts and, therefore, has been applied with increasing frequency to assess the environmental performance of buildings. To effectively improve a building's environmental performance, an integration of LCA in the design process is required. This can be achieved by coupling LCA with digital design tools, e.g., Building Information Modelling (BIM). To identify the pro and cons of streamlining the integration of LCA and BIM, a comprehensive Systematic Literature Review (SLR) was performed. We identified more than 50 relevant BIM-LCA case studies and analysed the applied BIM-LCA workflows in detail. In most of the studies reviewed, the LCA has been applied in an early design stage. The authors primarily used LCA tools and manual or semi-automatic methods to exchange data between BIM models. In most cases, contemporary BIM-LCA workflows utilized conventional spreadsheets (e.g., Excel worksheets). However, the results of the analysis show that an automated link between LCA and BIM can be achieved if certain challenges are overcome. By automating exchange of information between BIM and LCA tools and improving the reliability of this process, the LCA application can be streamlined in design practice and, hence, the necessary improvements of the environmental performance of buildings can be supported. Ključne besede: building information modelling, life cycle assessment, systematic Literature Review Objavljeno v DiRROS: 18.03.2024; Ogledov: 360; Prenosov: 235
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1659. Lymphedema following cancer therapy in Slovenia : a frequently overlooked condition?Tanja Planinšek Ručigaj, Nada Kecelj, Vesna Tlaker Žunter, 2010, izvirni znanstveni članek Povzetek: Introduction. Secondary lymphedema following cancer therapy is a frequent, often painful, quality of life disturbing condition, reducing the patients' mobility and predisposing them to complications, e.g. infections and malignancies. The critical aspect of lymphedema therapy is to start as soon aspossible to prevent the irreversible tissue damage. Patients and methods. Weperformed a retrospective study of patients with lymphedema, treated at the Department of Dermatovenereology, University Medical Center Ljubljana, from January 2002 to June 2010. The patientsć demographic and medical data were collected, including type of cancer, type and stage of lymphedema, and time tofirst therapy of lymphedema. The number of referred patients with lymphedema following the therapy of melanoma, breast cancer, and uterine/cervical cancer, was compared to the number of patients expected to experience lymphedema following cancer therapy, calculated from the incidence reported in the literature. Results. In the period of 8.5 years, 543 patients (432 females, 112 males) with lymphedema were treated. The results show that probably many Slovenian patients with secondary lymphedema following cancer therapy remain unrecognized and untreated or undertreated. In the majority of our patients, the management of lymphedema was delayedč on average, the patients first received therapy for lymphedema 3.6 years after the first signsof lymphedema. Conclusions. To avoid a delay in diagnosis and therapy, and the complications of lymphedema following cancer therapy, the physician should actively look for signs or symptoms of lymphedema during the follow-up period, and promptly manage or refer the patients developing problems. Ključne besede: rak (medicina), zdravljenje, limfedem Objavljeno v DiRROS: 18.03.2024; Ogledov: 299; Prenosov: 78
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1660. Globalization of partial actions of semigroupsGanna Kudryavtseva, Valdis Laan, 2023, izvirni znanstveni članek Povzetek: We propose two universal constructions of globalization of a partial action of a semigroup on a set, satisfying certain conditions which arise in Morita theory of semigroups. One of the constructions is based on the tensor product of a partial semigroup act with the semigroup and generalizes the globalization construction of strong partial actions of monoids due to Megrelishvili and Schröder. It produces the initial object in an appropriate category of globalizations of a given partial action. The other construction involves Hom-sets and is novel even in the monoid setting. It produces the terminal object in an appropriate category of globalizations. While in the group case the results of the two constructions are isomorphic, they can be far different in the monoid case. Ključne besede: partial action, partial semigroup action, partial monoid action, globalization, enveloping action Objavljeno v DiRROS: 18.03.2024; Ogledov: 397; Prenosov: 201
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