Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Transverse Wave: an impartial color-propagation game inspired by Social
  Influence and Quantum Nim   In this paper, we study a colorful, impartial combinatorial game played on a
two-dimensional grid, Transverse Wave. We are drawn to this game because of its
apparent simplicity, contrasting intractability, and intrinsic connection to
two other combinatorial games, one inspired by social influence and another
inspired by quantum superpositions.
  More precisely, we show that Transverse Wave is at the intersection of
social-influence-inspired Friend Circle and superposition-based Demi-Quantum
Nim. Transverse Wave is also connected with Schaefer's logic game Avoid True.
In addition to analyzing the mathematical structures and computational
complexity of Transverse Wave, we provide a web-based version of the game,
playable at
https://turing.plymouth.edu/~kgb1013/DB/combGames/transverseWave.html.
Furthermore, we formulate a basic network-influence inspired game, called
Demographic Influence, which simultaneously generalizes Node-Kyles and
Demi-Quantum Nim (which in turn contains as special cases Nim, Avoid True, and
Transverse Wave). These connections illuminate the lattice order, induced by
special-case/generalization relationships over mathematical games, fundamental
to both the design and comparative analyses of combinatorial games.

34
The categories of this paper are: chem-ph
33
The categories of this paper are: plasm-ph
0
The categories of this paper are: hep-ph
4
The categories of this paper are: cond-mat
31
The categories of this paper are: ao-sci
28
The categories of this paper are: alg-geom
9
The categories of this paper are: nlin
27
The categories of this paper are: comp-gas
5
The categories of this paper are: gr-qc
32
The categories of this paper are: atom-ph
24
The categories of this paper are: dg-ga
35
The categories of this paper are: mtrl-th
30
The categories of this paper are: q-alg
13
The categories of this paper are: quant-ph
18
The categories of this paper are: econ
17
The categories of this paper are: q-fin