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Your search keyword '"Artes Jr., Rosalio G."' showing total 43 results
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43 results on '"Artes Jr., Rosalio G."'

2. Applications of Chuh-Shih-Chieh's Identity in Geodetic Independence Polynomials.

Author

Maldo, Jun Francis B. and Artes Jr., Rosalio G.

Subjects
*POLYNOMIALS, *GRAPH connectivity, *INDEPENDENT sets, *GEODESICS, *LINEAR dependence (Mathematics)
Abstract

Let G be a simple connected graph. The geodetic independence polynomial G, denoted by g(G; x), is the polynomial whose coefficients correspond to the number of geodetic independent subsets of V (G). In this paper, we apply the Chuh-Shih-Chieh's Identity to establish the geodetic independence polynomial of cycles. [ABSTRACT FROM AUTHOR]

Published
2024

3. Sequential Total Network Interactions: Connectivity and Proximity Properties.

Author

Artes Jr., Rosalio G., Anunciado, Roxanne A., Madalim, Radana E., Salim, Jeffrey Imer C., and Amiruddin-Rajik, Bayah J.

Subjects
*SHIFT registers
Abstract

In this paper, we model a network obtained by sequential total linear interactions of independent sequence of finite networks. We determined the connectivity of the nodes and the proximity of every pair of nodes of the resulting network structure. [ABSTRACT FROM AUTHOR]

Published
2024

4. Induced Path Polynomials of the Join and Corona of Graphs.

Author

Villarta, Cerina A., Eballe, Rolito G., and Artes Jr., Rosalio G.

Subjects
POLYNOMIALS, GRAPH connectivity
Abstract

In this paper, we establish the induced path polynomials of graphs resulting from the join and corona of two connected graphs. [ABSTRACT FROM AUTHOR]

Published
2024

6. Geodetic Closure Polynomial of Graphs.

Author

Artes Jr., Rosalio G., Salim, Jeffrey Imer C., Rasid, Regimar A., Edubos, Jerrivieh I., and Amiruddin, Bayah J.

Subjects
*GEODESICS, *BIPARTITE graphs, *POLYNOMIALS, *COMPLETE graphs
Abstract

In this paper, we introduced a new graph polynomial called the vertex geodetic closure polynomial of a graph and established results for paths, complete bipartite graphs, and graphs resulting from the join of two graphs. [ABSTRACT FROM AUTHOR]

Published
2024

11. Geodetic Bounds in Graphs.

Author

Asdain, Aldison M., Salim, Jeffrey Imer C., and Artes Jr., Rosalio G.

Subjects
GRAPH connectivity, GEODESICS
Abstract

Let G be a connected graph. A subset S of V (G) is said to be geodetically bounded if there exist u, v V (G) such that S IG[u, v]. The geodetic bounding number of G is the cardinality of the maximum geodetically bounded subset of V (G). In this paper, we establish the properties of the geodetic bounding number of a graph as well as the geodetic bounding number of some special graphs. [ABSTRACT FROM AUTHOR]

Published
2023

12. Clique Connected Common Neighborhood Polynomial of the Join of Graphs.

Author

Arriesgado, Amelia L., Salim, Jeffrey Imer C., and Artes Jr., Rosalio G.

Subjects
POLYNOMIALS, GRAPH connectivity
Abstract

In this paper, we establish the clique connected common neighborhood polynomial of the graph resulting from the join of two connected graphs. [ABSTRACT FROM AUTHOR]

Published
2023

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