Search Results - "Klavžar, Sandi"
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Design of a single-chain polypeptide tetrahedron assembled from coiled-coil segments
Published in Nature chemical biology (01-06-2013)“…DNA origami has shown that principles of molecular recognition can be used to reshape biomolecules into nonphysiological forms. The design and synthesis of a…”
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2
Generalized Pell graphs
Published in Turkish journal of mathematics (01-01-2023)Get full text
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Distance-based topological indices of nanosheets, nanotubes and nanotori of $$\hbox {SiO}_2$$ SiO 2
Published in Journal of mathematical chemistry (01-01-2019)Get full text
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On Grundy Total Domination Number in Product Graphs
Published in Discussiones Mathematicae. Graph Theory (01-02-2021)“…A longest sequence ( , . . ., ) of vertices of a graph is a Grundy total dominating sequence of if for all , . The length of the sequence is called the Grundy…”
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5
Connected domination game played on Cartesian products
Published in Open mathematics (Warsaw, Poland) (08-11-2019)“…The connected domination game on a graph is played by Dominator and Staller according to the rules of the standard domination game with the additional…”
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The general position number of integer lattices
Published in Applied mathematics and computation (01-02-2021)“…•The general position number of all integer grids is determined.•Only very partial results were known earlier, each of them required quite some effort to…”
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7
Dominated and dominator colorings over (edge) corona and hierarchical products
Published in Applied mathematics and computation (01-02-2021)“…•Dominated and dominator colorings are graph colorings which are difficult to compute and frequently arise in applications.•This paper dominated and dominator…”
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Local metric dimension of graphs: Generalized hierarchical products and some applications
Published in Applied mathematics and computation (01-01-2020)“…Let G be a graph and S⊆V(G). If every two adjacent vertices of G have different metric S-representations, then S is a local metric generator for G. A local…”
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On the mutual visibility in Cartesian products and triangle-free graphs
Published in Applied mathematics and computation (01-02-2023)“…•We investigate about mutual-visibility sets and mutual-visibility number (cardinality of a maximum mutual-visibility set), graph-theoretic concepts recently…”
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10
On graphs whose Wiener complexity equals their order and on Wiener index of asymmetric graphs
Published in Applied mathematics and computation (01-07-2018)“…If u is a vertex of a graph G, then the transmission of u is the sum of distances from u to all the other vertices of G. The Wiener complexity CW(G) of G is…”
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Edge General Position Sets in Fibonacci and Lucas Cubes
Published in Bulletin of the Malaysian Mathematical Sciences Society (01-07-2023)“…A set of edges X ⊆ E ( G ) of a graph G is an edge general position set if no three edges from X lie on a common shortest path in G . The cardinality of a…”
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Redefining fractal cubic networks and determining their metric dimension and fault-tolerant metric dimension
Published in Applied mathematics and computation (01-09-2023)“…•A hypercube variant fractal cubic network is redefined over the errored definition from [Engineering Science and Technology, an International Journal 18…”
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Graphs with total mutual-visibility number zero and total mutual-visibility in Cartesian products
Published in Discussiones Mathematicae. Graph Theory (01-01-2024)Get full text
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14
Geodesic packing in graphs
Published in Applied mathematics and computation (15-12-2023)Get full text
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15
On Distance-Balanced Generalized Petersen Graphs
Published in Annals of combinatorics (01-03-2024)“…A connected graph G of diameter diam ( G ) ≥ ℓ is ℓ -distance-balanced if | W xy | = | W yx | for every x , y ∈ V ( G ) with d G ( x , y ) = ℓ , where W xy is…”
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Constructing new families of transmission irregular graphs
Published in Discrete Applied Mathematics (31-01-2021)“…The transmission of a vertex v of a graph G is the sum of distances from v to all the other vertices in G. A graph is transmission irregular if all of its…”
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17
Edge metric dimensions via hierarchical product and integer linear programming
Published in Optimization letters (01-09-2021)“…If S = { v 1 , … , v k } is an ordered subset of vertices of a connected graph G and e is an edge of G , then the vector r G ( e | S ) = ( d G ( v 1 , e ) , ……”
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Computational complexity aspects of super domination
Published in Theoretical computer science (09-10-2023)“…Let G be a graph. A dominating set D⊆V(G) is a super dominating set if for every vertex x∈V(G)∖D there exists y∈D such that NG(y)∩(V(G)∖D))={x}. The…”
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The geodesic-transversal problem
Published in Applied mathematics and computation (15-01-2022)“…•The geodesic-transversal problem and the geodesic-transversal number are introduced.•The concepts are motivated by (large-scale) networks and by other…”
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New transmission irregular chemical graphs
Published in Discrete Applied Mathematics (15-12-2023)“…The transmission of a vertex v of a (chemical) graph G is the sum of distances from v to other vertices in G. If any two vertices of G have different…”
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