List of Dissertation Abstract（Information Media and Environment Sciences Environmental Mathematical Analysis Course）
Name
Xihe LIU

Supervisor

Title

TakashiA Study on Spherical Orthotomic

NISHIMURA

CurvesY-equivalence classes andYuta OMIZO

Atsuhirogeometric realization ofNAKAMOTO

quadrangulations on the projective
planeAbstract
For the n-dimensional spherical pedal curve pedγ,P with respect to an n-dimensional spherical unit speed
curve γ and a given point P in Sn, we define the spherical orthotomic curve of γ relative to the point P, andclassify singularities of spherical orthotomic curves.
A quadrangulation G on the surface is k-minimal if the length of a shortest essential cycle is k, and any facecontraction in G breaks this property. It is known that any two k-minimal quadrangulations on the projective
plane can be transformed into each other by a sequence of Y-rotations. In this paper, we give a new Yequivalence class. Moreover, we show that graphs in such classes are related to rhombus tilings of a pointsymmetric convex polygon.

In terms of high school graduates
who went on to universities, aI studied how to see national, prefectural and other public university of science and engineering in terms ofstudy on how to see national,

high school graduates who went to on the university in each prefecture or region and focused on theYudaiJunjiprefectural and other publicdistance between the universities and annual enrollment limits of them. Moreover, I considered about theKITAMURANUKATA

universities of science andreality and problems of the moves for going on to university including concentration of Tokyo byengineering according to thecomparing "how to see" university from each prefecture or region and the number of high school graduates

distance between the universities

who went on to university and motives of the candidates for admission to university.

and annual enrollment limits.
Three dimensional CFD (Computational Fluid Dynamics) analysis of the wave dissipation effect of lane
Three dimensional Numericalrope connected multiple floats in swimming pool has been performed. This paper mainly discusses theKohei

MinoruAnalysis of Motion and Wave

relation among the wave dissipation effect of the lane rope floats, shape, and rotation. As a result of theSHIRAISHISHIRAZAKI

Dissipation Effect of Multiple

analysis with different shapes of the floats, it was found that the floats with a shape of that is easy to rotate

Connected Floats

have more effective wave dissipation effect when the wave is small, but the floats with a shape that is hardto rotate have more effective when the wave is large.

We enumerate superspecial Howe curves over fields of relatively large characteristic. It is not known
HayatoShushi

Enumerating superspecial

whether there exists superspecial curve of genus 4 over any characteristics, and the enumeration has been

SENDA

HARASHITA

Howecurves

done only over very small characteristics. By considering Howe curves, we succeed in enumerating thecurve over relatively large characteristics.
A graph grabbing game is a two-player game on weighted connected graphs. In the game, they alternatelyremove a non-cut vertex from the graph (i.e., the resulting graph is still connected) and get the weight

Masayoshi

Atsuhiro

Graph grabbing game on graphs

assigned to the vertex. Each player’s aim is to maximize his/her outcome, when all vertices have beenDOKINAKAMOTO

with forbidden subgraphs

taken. It is known that the first player Alice can win the game on several graphs with any weights. In thispaper, we show that Alice can win the game on graphs with any weights if certain subgraphs are forbidden.
We introduce the relevance of the result and the previous results.

Michihito

Seiya

Looseness of 6-regular

YOKUDA

NEGAMI

triangulations on the torus

The looseness of a triangulation on a closed surface ,denoted by ξ(G), is deﬁned as the minimum number ksuch that for any surjection c:V (G)→{1,2,...,k+3}, there is a face whose three vertices receive three distinct
colors. We show that ξ(G)=α(G)−1,for a 6-regular triangulation G on the torus.
Helix in 3-dimensional space is a classical topic in differential geometry. In the first year of my master

Yijia GAO

TakashiNISHIMURA

A Study on Toroidal Helices

study, I studied about the properties of helix, using the evolute and the involute to think about it. In thisthesis, I study a new type of helix, which is much more standard. It is concentrated on one class of theextended helix, where the base curve of the extended helix is the base circle of a standard torus.