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The general position number ${\rm gp}(G)$ of a connected graph $G$ is the cardinality of a largest set $S$ of vertices such that no three pairwise distinct vertices from $S$ lie on a common geodesic. The $n$-dimensional grid graph $\pn$ is the Cartesian product of $n$ copies of the two-way infinite path $P_\infty$. It is proved that if $n\in {\mathbb N}$, then ${\rm gp}({P_\infty^n}) = 2^{2^{n-1}}$. The result was earlier known only for $n\in \{1,2\}$ and partially for $n=3$.

Na poslovanje podjetja lahko vplivajo različne stvari. Najpomembneje je, da podjetje posluje dobro, kar pomeni, da dosega rezultate, ki so pozitivni. Prav management je odgovoren za pozitivno ali negativno poslovanje podjetja. Naloga obravnava vpliv managerjev na poslovanje podjetja. Predvsem cilje podjetja, poslovne partnerje podjetja in nagrajevanje. Managerji lahko pomembno vplivajo na poslovanje podjetja. Prav od njihovega dela je odvisno, kako bo poslovalo podjetje. V nalogi so predstavljene različne ravni managementa, predstavljeni so različni udeleženci podjetja, ter drugi različni vidiki, ki so za podjetje pomembni pri njegovem poslovanju. Podjetje mora biti uspešno, če želi poslovati na trgu. Naloga govori tudi o uspešnem managerju, osredotoča se na lastnosti dobrega managerja. Obravnavane so različne vrste ciljev, ki si jih podjetje lahko postavi, predstavljene so različne vrste nagrad, katere lahko prejema manager ali zaposleni v podjetju, predstavljeni so tudi poslovni partnerji podjetja – dobavitelji in odjemalci. V nalogi sta predstavljena primera dveh podjetij, ki poslujeta na trgu. Na začetku je v primeru obeh podjetij predstavljena dejavnost podjetja, v nadaljevanju so obravnavani še cilji, njihov vpliv na poslovanje in delo managerja, nagrajevanje in vpliv na poslovanje podjetja, ter managerjev vpliv na pridobivanje poslovnih partnerjev. Predstavljeni so še predlogi za izboljšave v obeh primerih podjetij. To so izboljšave, ki so možne v posameznem podjetju. V sklepnem delu so obravnavane še postavljene hipoteze, komentirana in predstavljena so tudi spoznanja. The business of the company can be influenced by diverse factors. What’s the most important is that the company operates well which means that it achieves results which are positive. Positive or negative operating of the company is management’s responsibility. The thesis discusses the impact of managers on business, mostly the objectives of the company, business partners and the system of rewarding. Managers can have a significant impact on business. It depends predominantly on their work how the company will operate. The thesis also presents different levels of management, presented are different participants of the company, and other various aspects which are important for the company in its business. The company has to be successful if it wants to do business in the market. The thesis talks about a successful manager, it focuses on the characteristics of a good manager. Represented are different kinds of goals which the company can have, the thesis deals with different kinds of awards, which manager or employee in company can receive, presented are also business partners – suppliers and customers. In the thesis, there are two cases of companies that do business in the market. In both cases the representation begins with the activity of the company followed by the goals, their influence on business and management work, rewarding and its influence on business company, and manager`s influence on getting business partners. There is the presentation of suggestions for improvements in both cases of companies. These are improvements that are possible within a single company. The conclusion deals with appointed hypothesis as well as presentation of findings.

Vsebina dela "Kriteriji presojanja učinkovitosti in uspešnosti managementa" govori o nalogah managementa, njegovih funkcijah, o managementu in kriterijih presojanja, kriterijih učinkovitosti in uspešnosti managementa. Definirano je delo managementa, kar zajema njegove naloge in funkcije. Funkcije in naloge managementa je smiselno poudariti, ker imajo pomemben vpliv na uspešnost. Opravljenim nalogam managementa sledi ocenjevanje, presojanje in merjenje. Ocenjevanje, presojanje in merjenje se lahko izvede na različne načine. Obstajajo sistemi, ki se uporabljajo najpogosteje. Vsak pa lahko določi svoj sistem za ocenjevanje, presojanje in merjenje za katerega meni, da bo najboljši pokazatelj želenih rezultatov. Kriteriji učinkovitosti in uspešnosti managementa zajemajo poslovne kriterije, s katerimi se želi seznaniti vsak manager in na podlagi teh ugotoviti določen uspeh ali neuspeh na področju poslovanja, ki zajema predvsem upravljanje z denarnimi sredstvi. Med pomembnimi kriteriji je omenjena tudi kakovost, ki je vse bolj pomemben pokazatelj uspešnosti. Predstavil sem tudi etične kriterije, ki so za management opredeljeni že s kodeksom poklicne etike. Na področju etike je veliko različnih etičnih dilem, med katerimi se mora manager pravilno odločiti. Upoštevati mora vse etične norme, le tako je lahko uspešen in si pridobi ugled. The contents of the work "Evaluation Criteria of the Performance and Efficiency of Management", talks about the tasks of management, its functions, the management and assessment criteria, the criteria of efficiency and performance of management. It defines the work of management, which includes its duties and functions.It is advisable to stress the functions and tasks of management because they have a significant impact on the performance. Performed management tasks are followed by evaluation, assessment and measurement. Evaluation, assessment and measurement can be done in different ways. There are systems that are used most often, but each one can determine his own system for evaluating, assessing and measuring which he considers to be the best indicator of the desired results. Performance criteria and performance management criteria include business criteria which every manager wishes to be informed of and determine possibilities of succeeding or failing in business, comprising mainly the monetary operations. The criteria of quality is also mentioned among the important ones, which is all the more important indicator of performance. I also introduce the ethical criteria thet are alredy defined for management by the code of professional ethics. In the field of ethics there is a wide variety of ethical dilemmas among which the manager has to decide correctly. He must consider all ethical norms, for this is the only way he can be successful and earn a good reputation.