Solvable join of graphs

Initially, assign the state O or 1 to each vertex of a graph G. For each vertex v of G, let the move [v] mean switch the state of vertex v and each vertex adjacent to v. If there is a sequence of moves that brings the graph G to the 0-state (all vertices have O state) we say that the given initial...

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Main Authors: Gervacio, Severino V., Lim, Yvette F., Ruivivar, Leonor A.
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Published: Animo Repository 2006
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Online Access:https://animorepository.dlsu.edu.ph/faculty_research/7835
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Institution: De La Salle University
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spelling oai:animorepository.dlsu.edu.ph:faculty_research-85062022-11-18T00:40:53Z Solvable join of graphs Gervacio, Severino V. Lim, Yvette F. Ruivivar, Leonor A. Initially, assign the state O or 1 to each vertex of a graph G. For each vertex v of G, let the move [v] mean switch the state of vertex v and each vertex adjacent to v. If there is a sequence of moves that brings the graph G to the 0-state (all vertices have O state) we say that the given initial state is solvable. If all initial states of a graph are solvable, we call the graph a solvable graph. We investigate the solvability of the join of two graphs. 2006-08-01T07:00:00Z text https://animorepository.dlsu.edu.ph/faculty_research/7835 Faculty Research Work Animo Repository Graph theory Mathematics
institution De La Salle University
building De La Salle University Library
continent Asia
country Philippines
Philippines
content_provider De La Salle University Library
collection DLSU Institutional Repository
topic Graph theory
Mathematics
spellingShingle Graph theory
Mathematics
Gervacio, Severino V.
Lim, Yvette F.
Ruivivar, Leonor A.
Solvable join of graphs
description Initially, assign the state O or 1 to each vertex of a graph G. For each vertex v of G, let the move [v] mean switch the state of vertex v and each vertex adjacent to v. If there is a sequence of moves that brings the graph G to the 0-state (all vertices have O state) we say that the given initial state is solvable. If all initial states of a graph are solvable, we call the graph a solvable graph. We investigate the solvability of the join of two graphs.
format text
author Gervacio, Severino V.
Lim, Yvette F.
Ruivivar, Leonor A.
author_facet Gervacio, Severino V.
Lim, Yvette F.
Ruivivar, Leonor A.
author_sort Gervacio, Severino V.
title Solvable join of graphs
title_short Solvable join of graphs
title_full Solvable join of graphs
title_fullStr Solvable join of graphs
title_full_unstemmed Solvable join of graphs
title_sort solvable join of graphs
publisher Animo Repository
publishDate 2006
url https://animorepository.dlsu.edu.ph/faculty_research/7835
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