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The q-analogue of zero forcing for certain families of graphsFallat, Shaun M. ...Zero forcing is a combinatorial game played on a graph with the ultimate goal of chang- ing the colour of all the vertices at minimal cost. Originally this game was conceived as a one player game, ... but later a two-player version was devised in-conjunction with studies on the inertia of a graph, and has become known as the q-analogue of zero forcing. In this paper, we study and compute the q-analogue zero forcing number for various families of graphs. We begin with by considering a concept of contraction associated with trees. We then significantly generalize an equation between this q-analogue of zero forcing and a corresponding nullity parameter for all threshold graphs. We close by studying the q-analogue of zero forcing for certain Kneser graphs, and a variety of cartesian products of structured graphs.Source: Discrete applied mathematics. - ISSN 0166-218X (Vol. 348, 2024, str. 91-104)Type of material - article, component part ; adult, seriousPublish date - 2024Language - englishCOBISS.SI-ID - 183014915
Author
Fallat, Shaun M. |
Joshi, Neha |
Maleki, Roghayeh |
Meagher, Karen |
Mojallal, Seyed Ahmad |
Nasserasr, Shahla |
Shirazi, Mahsa N. |
Razafimahatratra, Andriaherimanana Sarobidy |
Stevens, Brett
Topics
zero forcing |
variants of zero forcing |
trees |
threshold graphs |
Kneser graph |
Cartesian product |
maximum nullity
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Database name | Field | Year |
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Links to authors' personal bibliographies | Links to information on researchers in the SICRIS system |
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Fallat, Shaun M. | ![]() |
Joshi, Neha | ![]() |
Maleki, Roghayeh | 57046 |
Meagher, Karen | ![]() |
Mojallal, Seyed Ahmad | ![]() |
Nasserasr, Shahla | ![]() |
Shirazi, Mahsa N. | ![]() |
Razafimahatratra, Andriaherimanana Sarobidy | 56940 |
Stevens, Brett | ![]() |
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